{"id":101632,"date":"2021-02-09T09:43:33","date_gmt":"2021-02-09T09:43:33","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=101632"},"modified":"2023-09-18T02:55:20","modified_gmt":"2023-09-18T02:55:20","slug":"ncert-solutions-for-9th-class-maths-chapter-14-statistics","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/","title":{"rendered":"NCERT Solutions for 9th class Maths : Chapter 14 Statistics"},"content":{"rendered":"\n<p>Class 9: Maths Chapter 14 solutions. Complete Class 9 Maths Chapter 14 Notes.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>NCERT Solutions for 9th class Maths : Chapter 14 Statistics<\/strong><\/h2>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p>Page No: 239<\/p>\n\n\n\n<p><strong>Exercise 14.1<\/strong><\/p>\n\n\n\n<p><strong>1. Give five examples of data that you can collect from your day-to-day life.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>Five examples from day-to-day life:<br>(i) Daily expenditures of household.<br>(ii) Amount of rainfall.<br>(iii) Bill of electricity.<br>(iv) Poll or survey results.<br>(v) Marks obtained by students.<\/p>\n\n\n\n<p><strong>2. Classify the data in Q.1 above as primary or secondary data.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>Primary Data: (i) (iii) and (v)<br>Secondary Data: (ii) and (iv)<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p>Page No: 245<\/p>\n\n\n\n<p><strong>Exercise 14.2<\/strong><\/p>\n\n\n\n<p><strong>1. The blood groups of 30 students of Class VIII are recorded as follows:<br>A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,<br>A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.<br>Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The frequency means the number of students having same blood group. We will represent the data in table:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Blood Group<\/td><td>Number of Students (Frequency)<\/td><\/tr><tr><td>A<\/td><td>9<\/td><\/tr><tr><td>B<\/td><td>6<\/td><\/tr><tr><td>O<\/td><td>12<\/td><\/tr><tr><td>AB<\/td><td>3<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Most common Blood Group (Highest frequency): O<br>Rarest Blood Group (Lowest frequency): AB<\/p>\n\n\n\n<p><strong>2. The distance (in km) of 40 engineers from their residence to their place of work were found as follows:<br>5 &nbsp; &nbsp;3 &nbsp; &nbsp;10 &nbsp; &nbsp;20 &nbsp; &nbsp;25 &nbsp; &nbsp;11 &nbsp; &nbsp;13 &nbsp; &nbsp;7 &nbsp; &nbsp;12 &nbsp; &nbsp;31<br>19 &nbsp; &nbsp;10 &nbsp; &nbsp;12 &nbsp; &nbsp;17 &nbsp; &nbsp;18 &nbsp; &nbsp;11 &nbsp; &nbsp;32 &nbsp; &nbsp;17 &nbsp; &nbsp;16 &nbsp; &nbsp;2<br>7 &nbsp; &nbsp;9 &nbsp; &nbsp;7 &nbsp; &nbsp;8 &nbsp; &nbsp;3 &nbsp; &nbsp;5 &nbsp; &nbsp;12 &nbsp; &nbsp;15 &nbsp; &nbsp;18 &nbsp; &nbsp;3<br>12 &nbsp; &nbsp;14 &nbsp; &nbsp;2 &nbsp; &nbsp;9 &nbsp; &nbsp;6 &nbsp; &nbsp;15 &nbsp; &nbsp;15 &nbsp; &nbsp;7 &nbsp; &nbsp;6 &nbsp; &nbsp;12<br>Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The given data is very large. So, we construct a group frequency of class size 5. Therefore, class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the table as:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-1.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.2 Que. 2\"\/><\/figure>\n\n\n\n<p>The classes in the table are not overlapping. Also, 36 out of 40 engineers have their house below 20 km of distance.<\/p>\n\n\n\n<p><strong>3. The relative humidity (in %) of a certain city for a month of 30 days was as follows:<br>98.1 &nbsp; &nbsp; 98.6 &nbsp; &nbsp; 99.2 &nbsp; &nbsp; 90.3 &nbsp; &nbsp; 86.5 &nbsp; &nbsp; 95.3 &nbsp; &nbsp; 92.9 &nbsp; &nbsp; &nbsp;96.3 &nbsp; &nbsp; &nbsp;94.2 &nbsp; &nbsp; &nbsp;95.1<br>89.2 &nbsp; &nbsp; 92.3 &nbsp; &nbsp; 97.1 &nbsp; &nbsp; 93.5 &nbsp; &nbsp; 92.7 &nbsp; &nbsp; 95.1 &nbsp; &nbsp; 97.2 &nbsp; &nbsp; &nbsp;93.3 &nbsp; &nbsp; &nbsp;95.2 &nbsp; &nbsp; &nbsp;97.3<br>96.2 &nbsp; &nbsp; 92.1 &nbsp; &nbsp; 84.9 &nbsp; &nbsp; 90.2 &nbsp; &nbsp; 95.7 &nbsp; &nbsp; 98.3 &nbsp; &nbsp; 97.3 &nbsp; &nbsp; &nbsp;96.1 &nbsp; &nbsp; &nbsp;92.1 &nbsp; &nbsp; &nbsp;89<br>(i) Construct a grouped frequency distribution table with classes 84 &#8211; 86, 86 &#8211; 88, etc.<br>(ii) Which month or season do you think this data is about?<br>(iii) What is the range of this data?<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The given data is very large. So, we construct a group frequency of class size 2. Therefore, class interval will be 84-86, 86-88, 88-90, 90-92 and so on. The data is represented in the table as:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Relative humidity (in %)<\/td><td>Frequency<\/td><\/tr><tr><td>84-86<\/td><td>1<\/td><\/tr><tr><td>86-88<\/td><td>1<\/td><\/tr><tr><td>88-90<\/td><td>2<\/td><\/tr><tr><td>90-92<\/td><td>2<\/td><\/tr><tr><td>92-94<\/td><td>7<\/td><\/tr><tr><td>94-96<\/td><td>6<\/td><\/tr><tr><td>96-98<\/td><td>7<\/td><\/tr><tr><td>98-100<\/td><td>4<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(ii) The humidity is very high in the data which is observed during rainy season. So, it must be rainy season.<br>(iii) Range of data = Maximum value of data &#8211; Minimum = 99.2 \u2212 84.9 = 14.3<\/p>\n\n\n\n<p><strong>4. The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:<br>161 &nbsp; &nbsp; 150 &nbsp; &nbsp; 154 &nbsp; &nbsp; 165 &nbsp; &nbsp; 168 &nbsp; &nbsp; 161 &nbsp; &nbsp; 154 &nbsp; &nbsp; 162 &nbsp; &nbsp; 150 &nbsp; &nbsp; 151<br>162 &nbsp; &nbsp; 164 &nbsp; &nbsp; 171 &nbsp; &nbsp; 165 &nbsp; &nbsp; 158 &nbsp; &nbsp; 154 &nbsp; &nbsp; 156 &nbsp; &nbsp; 172 &nbsp; &nbsp; 160 &nbsp; &nbsp; 170<br>153 &nbsp; &nbsp; 159 &nbsp; &nbsp; 161 &nbsp; &nbsp; 170 &nbsp; &nbsp; 162 &nbsp; &nbsp; 165 &nbsp; &nbsp; 166 &nbsp; &nbsp; 168 &nbsp; &nbsp; 165 &nbsp; &nbsp; 164<br>154 &nbsp; &nbsp; 152 &nbsp; &nbsp; 153 &nbsp; &nbsp; 156 &nbsp; &nbsp; 158 &nbsp; &nbsp; 162 &nbsp; &nbsp; 160 &nbsp; &nbsp; 161 &nbsp; &nbsp; 173 &nbsp; &nbsp; 166<br>161 &nbsp; &nbsp; 159 &nbsp; &nbsp; 162 &nbsp; &nbsp; 167 &nbsp; &nbsp; 168 &nbsp; &nbsp; 159 &nbsp; &nbsp; 158 &nbsp; &nbsp; 153 &nbsp; &nbsp; 154 &nbsp; &nbsp; 159<br>(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 &#8211; 165, 165 &#8211; 170, etc.<br>(ii) What can you conclude about their heights from the table?<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The data with class interval 160-165, 165-170&nbsp;and so on is represented in the table as:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Height (in cm)<\/td><td>No. of Students<br>(Frequency)<\/td><\/tr><tr><td>150-155<\/td><td>12<\/td><\/tr><tr><td>155-160<\/td><td>9<\/td><\/tr><tr><td>160-165<\/td><td>14<\/td><\/tr><tr><td>165-170<\/td><td>10<\/td><\/tr><tr><td>170-175<\/td><td>5<\/td><\/tr><tr><td>Total<\/td><td>50<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(ii) From the given data, it can be concluded that 35 students i.e. more than 50% are shorter than 165 cm.<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p><strong>5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:<br>0.03 &nbsp; &nbsp; 0.08 &nbsp; &nbsp; 0.08 &nbsp; &nbsp; 0.09 &nbsp; &nbsp; 0.04 &nbsp; &nbsp; 0.17<br>0.16 &nbsp; &nbsp; 0.05 &nbsp; &nbsp; 0.02 &nbsp; &nbsp; 0.06 &nbsp; &nbsp; 0.18 &nbsp; &nbsp; 0.20<br>0.11 &nbsp; &nbsp; 0.08 &nbsp; &nbsp; 0.12 &nbsp; &nbsp; 0.13 &nbsp; &nbsp; 0.22 &nbsp; &nbsp; 0.07<br>0.08 &nbsp; &nbsp; 0.01 &nbsp; &nbsp; 0.10 &nbsp; &nbsp; 0.06 &nbsp; &nbsp; 0.09 &nbsp; &nbsp; 0.18<br>0.11 &nbsp; &nbsp; 0.07 &nbsp; &nbsp; 0.05 &nbsp; &nbsp; 0.07 &nbsp; &nbsp; 0.01 &nbsp; &nbsp; 0.04<br>(i) Make a grouped frequency distribution table for this data with class intervals as 0.00 &#8211; 0.04, 0.04 &#8211; 0.08, and so on.<br>(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The data with class interval 0.00 &#8211; 0.04, 0.04 &#8211; 0.08 and so on&nbsp;is represented in the table as:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Concentration of sulphur dioxide in air (in ppm)<\/td><td>Frequency<\/td><\/tr><tr><td>0.00 \u2212 0.04<\/td><td>4<\/td><\/tr><tr><td>0.04 \u2212 0.08<\/td><td>9<\/td><\/tr><tr><td>0.08 \u2212 0.12<\/td><td>9<\/td><\/tr><tr><td>0.12 \u2212 0.16<\/td><td>2<\/td><\/tr><tr><td>0.16 \u2212 0.20<\/td><td>4<\/td><\/tr><tr><td>0.20 \u2212 0.24<\/td><td>2<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(ii) 2 + 4&nbsp;+ 2 = 8 days have the concentration of sulphur dioxide more than 0.11 parts per million.<\/p>\n\n\n\n<p>Page No. 246<\/p>\n\n\n\n<p><strong>6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:<br>0 &nbsp; &nbsp; 1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 2 &nbsp; &nbsp; 1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 3 &nbsp; &nbsp; 1 &nbsp; &nbsp; 3 &nbsp; &nbsp; 0<br>1 &nbsp; &nbsp; 3 &nbsp; &nbsp; 1 &nbsp; &nbsp; 1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 2 &nbsp; &nbsp; 0 &nbsp; &nbsp; 1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 1<br>3 &nbsp; &nbsp; 0 &nbsp; &nbsp; 0 &nbsp; &nbsp; 1 &nbsp; &nbsp; 1 &nbsp; &nbsp; 2 &nbsp; &nbsp; 3 &nbsp; &nbsp; 2 &nbsp; &nbsp; 2 &nbsp; &nbsp; 0<br>Prepare a frequency distribution table for the data given above.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The frequency distribution table for the data given above can be prepared as follow:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Number of Heads<\/td><td>Frequency<\/td><\/tr><tr><td>0<\/td><td>6<\/td><\/tr><tr><td>1<\/td><td>10<\/td><\/tr><tr><td>2<\/td><td>9<\/td><\/tr><tr><td>3<\/td><td>5<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>7. The value of \u03c0 upto 50 decimal places is given below:<\/strong><br>3.14159265358979323846264338327950288419716939937510<br><strong>(i)<\/strong> Make a frequency distribution of the digits from 0 to 9 after the decimal point.<br><strong>(ii)<\/strong> What are the most and the least frequently occurring digits?<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i)The frequency is given as follow:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>&nbsp; &nbsp;Digits &nbsp;&nbsp;<\/td><td>&nbsp; Frequency &nbsp;<\/td><\/tr><tr><td>0<\/td><td>2<\/td><\/tr><tr><td>1<\/td><td>5<\/td><\/tr><tr><td>2<\/td><td>5<\/td><\/tr><tr><td>3<\/td><td>8<\/td><\/tr><tr><td>4<\/td><td>4<\/td><\/tr><tr><td>5<\/td><td>5<\/td><\/tr><tr><td>6<\/td><td>4<\/td><\/tr><tr><td>7<\/td><td>4<\/td><\/tr><tr><td>8<\/td><td>5<\/td><\/tr><tr><td>9<\/td><td>8<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(ii) The digit having the least frequency occurs the least and the digit with highest frequency occurs the most. 0 has frequency 2 and thus occurs least frequently while 3 and 9 have frequency 8 and thus occur most frequently.<\/p>\n\n\n\n<p><strong>8. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:<br>1 &nbsp; &nbsp; 6 &nbsp; &nbsp; 2 &nbsp; &nbsp; 3 &nbsp; &nbsp; 5 &nbsp; &nbsp;12 &nbsp; &nbsp; 5 &nbsp; &nbsp; 8 &nbsp; &nbsp; 4 &nbsp; &nbsp; 8<br>10 &nbsp; 3 &nbsp; &nbsp; 4 &nbsp; &nbsp; 12 &nbsp; 2 &nbsp; &nbsp; 8 &nbsp; &nbsp; 15 &nbsp; &nbsp;1 &nbsp; &nbsp; 17 &nbsp; 6<br>3 &nbsp; &nbsp; 2 &nbsp; &nbsp; 8 &nbsp; &nbsp; 5 &nbsp; &nbsp; 9 &nbsp; &nbsp; 6 &nbsp; &nbsp; &nbsp;8 &nbsp; &nbsp; 7 &nbsp; &nbsp; 14 &nbsp; 12<\/strong><br><strong>(i)<\/strong> Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5-10.<br><strong>(ii)<\/strong> How many children watched television for 15 or more hours a week?<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The distribution table for the given data, taking class width 5 and one of the class intervals as 5-10 is as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Number of Hours<\/td><td>Frequency<\/td><\/tr><tr><td>0-5<\/td><td>10<\/td><\/tr><tr><td>5-10<\/td><td>13<\/td><\/tr><tr><td>10-15<\/td><td>5<\/td><\/tr><tr><td>15-20<\/td><td>2<\/td><\/tr><tr><td>Total<\/td><td>30<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(ii) We observed from the given table that 2 children television for 15 or more hours a week.<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p><strong>9. A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:<br>2.6 &nbsp; &nbsp; 3.0 &nbsp; &nbsp;3.7 &nbsp; &nbsp; 3.2 &nbsp; &nbsp; 2.2 &nbsp; &nbsp; 4.1 &nbsp; &nbsp; 3.5 &nbsp; &nbsp; 4.5<br>3.5 &nbsp; &nbsp; 2.3 &nbsp; &nbsp;3.2 &nbsp; &nbsp; 3.4 &nbsp; &nbsp; 3.8 &nbsp; &nbsp; 3.2 &nbsp; &nbsp; 4.6 &nbsp; &nbsp; 3.7<br>2.5 &nbsp; &nbsp; 4.4 &nbsp; &nbsp;3.4 &nbsp; &nbsp; 3.3 &nbsp; &nbsp; 2.9 &nbsp; &nbsp; 3.0 &nbsp; &nbsp; 4.3 &nbsp; &nbsp; 2.8<br>3.5 &nbsp; &nbsp; 3.2 &nbsp; &nbsp;3.9 &nbsp; &nbsp; 3.2 &nbsp; &nbsp; 3.2 &nbsp; &nbsp; 3.1 &nbsp; &nbsp; 3.7 &nbsp; &nbsp; 3.4<br>4.6 &nbsp; &nbsp; 3.8 &nbsp; &nbsp;3.2 &nbsp; &nbsp; 2.6 &nbsp; &nbsp; 3.5 &nbsp; &nbsp; 4.2 &nbsp; &nbsp; 2.9 &nbsp; &nbsp; 3.6<br>Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 &#8211; 2.5.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>A grouped frequency distribution table using class intervals of size 0.5 starting from the interval 2 &#8211; 2.5 is constructed.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Lives of batteries (in years)<\/td><td>No. of batteries<br>&nbsp; (Frequency)<\/td><\/tr><tr><td>2-2.5<\/td><td>2<\/td><\/tr><tr><td>2.5-3<\/td><td>6<\/td><\/tr><tr><td>3-3.5<\/td><td>14<\/td><\/tr><tr><td>3.5-4<\/td><td>11<\/td><\/tr><tr><td>4-4.5<\/td><td>4<\/td><\/tr><tr><td>4.5-5<\/td><td>3<\/td><\/tr><tr><td>Total<\/td><td>40<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Page No. 258<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p><strong>Exercise 14.3<\/strong><\/p>\n\n\n\n<p><strong>1. A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 &#8211; 44 (in years) worldwide, found the following figures (in %):<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>S.No.<\/td><td>Causes&nbsp;<\/td><td>Female fatality rate (%)<\/td><\/tr><tr><td>1.<\/td><td>Reproductive health conditions&nbsp;<\/td><td>31.8<\/td><\/tr><tr><td>2.<\/td><td>Neuropsychiatric conditions&nbsp;<\/td><td>25.4<\/td><\/tr><tr><td>3.<\/td><td>Injuries<\/td><td>12.4<\/td><\/tr><tr><td>4.<\/td><td>Cardiovascular conditions&nbsp;<\/td><td>4.3<\/td><\/tr><tr><td>5.<\/td><td>Respiratory conditions&nbsp;<\/td><td>4.1<\/td><\/tr><tr><td>6.<\/td><td>Other causes&nbsp;<\/td><td>22.0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><br><strong>(i)<\/strong> Represent the information given above graphically.<br><strong>(ii)<\/strong> Which condition is the major cause of women\u2019s ill health and death worldwide?<br><strong>(iii)<\/strong> Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The data is represented below graphically.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-2.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 1\"\/><\/figure>\n\n\n\n<p>(ii) From the above graphical data, we observe that reproductive health conditions is the major cause of women\u2019s ill health and death worldwide.<\/p>\n\n\n\n<p>(iii) Two factors responsible for cause in (ii)<\/p>\n\n\n\n<p>\u2022 Lack of proper care and understanding.<\/p>\n\n\n\n<p>\u2022 Lack of medical facilities.<\/p>\n\n\n\n<p><strong>2. The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>S.No.<\/td><td>Section<\/td><td>Number of girls per thousand boys&nbsp;<\/td><\/tr><tr><td>1.<\/td><td>Scheduled Caste (SC)&nbsp;&nbsp;<\/td><td>940<\/td><\/tr><tr><td>2.<\/td><td>Scheduled Tribe (ST)&nbsp;<\/td><td>970<\/td><\/tr><tr><td>3.<\/td><td>Non SC\/ST&nbsp;<\/td><td>920<\/td><\/tr><tr><td>4.<\/td><td>Backward districts&nbsp;<\/td><td>950<\/td><\/tr><tr><td>5.<\/td><td>Non-backward districts&nbsp;<\/td><td>920<\/td><\/tr><tr><td>6.<\/td><td>Rural&nbsp;<\/td><td>930<\/td><\/tr><tr><td>7.<\/td><td>Urban&nbsp;<\/td><td>910<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(i) Represent the information above by a bar graph.<br>(ii) In the classroom discuss what conclusions can be arrived at from the graph.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i)<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-3.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 2\"\/><\/figure>\n\n\n\n<p>(ii) It can be observed from the above graph that the maximum number of girls per thousand boys is in ST. Also, the backward districts and rural areas have more number of girls per thousand boys than non-backward districts and urban areas.<\/p>\n\n\n\n<p>Page No. 59<\/p>\n\n\n\n<p><strong>3. Given below are the seats won by different political parties in the polling outcome of a state assembly elections:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Political party<\/td><td>&nbsp; &nbsp; A &nbsp; &nbsp;<\/td><td>&nbsp; &nbsp; B &nbsp;&nbsp;<\/td><td>&nbsp; &nbsp; C &nbsp; &nbsp;<\/td><td>&nbsp; &nbsp; &nbsp;D &nbsp; &nbsp;<\/td><td>&nbsp; &nbsp; &nbsp;E &nbsp; &nbsp;<\/td><td>&nbsp; &nbsp; &nbsp;F &nbsp; &nbsp;<\/td><\/tr><tr><td>Seats won<\/td><td>75<\/td><td>55<\/td><td>37<\/td><td>29<\/td><td>10<\/td><td>37<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>(i)<\/strong> Draw a bar graph to represent the polling results.<br><strong>(ii)<\/strong> Which political party won the maximum number of seats?<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i)<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-4.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 3\"\/><\/figure>\n\n\n\n<p>(ii) The party named A has won the maximum number of seat.<\/p>\n\n\n\n<p><strong>4. The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>S.No.<\/td><td>Length (in mm)<\/td><td>Number of leaves&nbsp;<\/td><\/tr><tr><td>1.<\/td><td>118 &#8211; 126&nbsp;&nbsp;<\/td><td>3<\/td><\/tr><tr><td>2.<\/td><td>127 &#8211; 135&nbsp;<\/td><td>5<\/td><\/tr><tr><td>3.<\/td><td>136 &#8211; 144&nbsp;<\/td><td>9<\/td><\/tr><tr><td>4.<\/td><td>145 &#8211; 153<\/td><td>12<\/td><\/tr><tr><td>5.<\/td><td>154 &#8211; 162&nbsp;<\/td><td>5<\/td><\/tr><tr><td>6.<\/td><td>163 &#8211; 171&nbsp;&nbsp;<\/td><td>4<\/td><\/tr><tr><td>7.<\/td><td>172 &#8211; 180<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>(i)<\/strong> Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]<br><strong>(ii)<\/strong> Is there any other suitable graphical representation for the same data?<br><strong>(iii)<\/strong>Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The data is represented in a discontinuous class interval. So, first we will make continuous. The difference is 1, so we subtract 1\/2 = 0.5 from lower limit and add 0.5 to the upper limit.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>S.No.<\/td><td>Length (in mm)<\/td><td>Number of leaves<\/td><\/tr><tr><td>1.<\/td><td>117.5 &#8211; 126.5<\/td><td>3<\/td><\/tr><tr><td>2.<\/td><td>126.5 &#8211; 135.5<\/td><td>5<\/td><\/tr><tr><td>3.<\/td><td>135.5 &#8211; 144.5<\/td><td>9<\/td><\/tr><tr><td>4.<\/td><td>144.5 &#8211; 153.5<\/td><td>12<\/td><\/tr><tr><td>5.<\/td><td>153.5 &#8211; 162.5<\/td><td>5<\/td><\/tr><tr><td>6.<\/td><td>162.5 &#8211; 171.5<\/td><td>4<\/td><\/tr><tr><td>7.<\/td><td>171.5 &#8211; 180.5<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-5.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 4\"\/><\/figure>\n\n\n\n<p>(ii) Yes, the data can also be represented by frequency polygon.<\/p>\n\n\n\n<p>(iii) No, it is incorrect to conclude that the maximum number of leaves are 153 mm long because maximum number of leaves are lying between the length of 144.5 &#8211; 153.5<\/p>\n\n\n\n<p><strong>5. The following table gives the life times of 400 neon lamps:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Life Time (in hours)<\/td><td>Number of lamps<\/td><\/tr><tr><td>300 &#8211; 400&nbsp;<\/td><td>14<\/td><\/tr><tr><td>400 &#8211; 500<\/td><td>56<\/td><\/tr><tr><td>500 &#8211; 600<\/td><td>60<\/td><\/tr><tr><td>600 &#8211; 700<\/td><td>86<\/td><\/tr><tr><td>700 &#8211; 800<\/td><td>74<\/td><\/tr><tr><td>800 &#8211; 900<\/td><td>62<\/td><\/tr><tr><td>900 &#8211; 1000<\/td><td>48<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>(i)<\/strong> Represent the given information with the help of a histogram.<br><strong>(ii)<\/strong> How many lamps have a life time of more than 700 hours?<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i)<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-5.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 5\"\/><\/figure>\n\n\n\n<p>(ii) 74 +&nbsp;62 +&nbsp;48 = 184 lamps have a life time of more than 700 hours.<\/p>\n\n\n\n<p>Page No. 260<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p><strong>6. The following table gives the distribution of students of two sections according to the marks obtained by them:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-7-1.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 6\"\/><\/figure>\n\n\n\n<p>Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The class mark can be found by (Lower limit&nbsp;+ Upper limit)\/2.<br>For section A,<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Marks<\/td><td>Class Mark<\/td><td>Frequency<\/td><\/tr><tr><td>0-10<\/td><td>5<\/td><td>3<\/td><\/tr><tr><td>10-20<\/td><td>15<\/td><td>9<\/td><\/tr><tr><td>20-30<\/td><td>25<\/td><td>17<\/td><\/tr><tr><td>30-40<\/td><td>35<\/td><td>12<\/td><\/tr><tr><td>40-50<\/td><td>45<\/td><td>9<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>For section B,<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Marks<\/td><td>Class Mark<\/td><td>Frequency<\/td><\/tr><tr><td>0-10<\/td><td>5<\/td><td>5<\/td><\/tr><tr><td>10-20<\/td><td>15<\/td><td>19<\/td><\/tr><tr><td>20-30<\/td><td>25<\/td><td>15<\/td><\/tr><tr><td>30-40<\/td><td>35<\/td><td>10<\/td><\/tr><tr><td>40-50<\/td><td>45<\/td><td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now, we draw frequency polygon for the given data.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-8.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 6\"\/><\/figure>\n\n\n\n<p><strong>7. The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-10.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 7\"\/><\/figure>\n\n\n\n<p>Represent the data of both the teams on the same graph by frequency polygons.<br>[Hint : First make the class intervals continuous.]<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The data is represented in a discontinuous class interval. So, first we will make continuous. The difference is 1, so we subtract 1\/2 = 0.5 from lower limit and add 0.5 to the upper limit.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Number of balls<\/td><td>Team A<\/td><td>Team B<\/td><\/tr><tr><td>0.5-6.5<\/td><td>2<\/td><td>5<\/td><\/tr><tr><td>6.5-12.5<\/td><td>1<\/td><td>6<\/td><\/tr><tr><td>12.5-18.5<\/td><td>8<\/td><td>2<\/td><\/tr><tr><td>18.5-24.5<\/td><td>9<\/td><td>10<\/td><\/tr><tr><td>24.5-30.5<\/td><td>4<\/td><td>5<\/td><\/tr><tr><td>30.5-36.5<\/td><td>5<\/td><td>6<\/td><\/tr><tr><td>36.5-42.5<\/td><td>6<\/td><td>3<\/td><\/tr><tr><td>42.5-48.5<\/td><td>10<\/td><td>4<\/td><\/tr><tr><td>48.5-54.5<\/td><td>6<\/td><td>8<\/td><\/tr><tr><td>54.5-60.5<\/td><td>2<\/td><td>10<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now, we draw frequency polygon for the given data.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-9.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 7\"\/><\/figure>\n\n\n\n<p>Page No. 261<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<p><strong>8. A random survey of the number of children of various age groups playing in a park was found as follows:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-11.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 8\"\/><\/figure>\n\n\n\n<p>Draw a histogram to represent the data above.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The class intervals in the data is having varying width. We know that the area of rectangle is proportional to the frequencies in the histogram. The class interval with minimum class size 1 is selected and the length of the rectangle is proportionate to it.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Age (in years)<\/td><td>Number of children (frequency)<\/td><td>Width of class<\/td><td>Length of rectangle<\/td><\/tr><tr><td>1-2<\/td><td>5<\/td><td>1<\/td><td>(5\/1)\u00d71 = 5<\/td><\/tr><tr><td>2-3<\/td><td>3<\/td><td>1<\/td><td>(3\/1)\u00d71 = 3<\/td><\/tr><tr><td>3-5<\/td><td>6<\/td><td>2<\/td><td>(6\/2)\u00d71 = 3<\/td><\/tr><tr><td>5-7<\/td><td>12<\/td><td>2<\/td><td>(12\/2)\u00d71 = 6<\/td><\/tr><tr><td>7-10<\/td><td>9<\/td><td>3<\/td><td>(9\/3)\u00d71 = 3<\/td><\/tr><tr><td>10-15<\/td><td>10<\/td><td>5<\/td><td>(10\/5)\u00d71 = 2<\/td><\/tr><tr><td>15-17<\/td><td>4<\/td><td>2<\/td><td>(4\/2)\u00d71 = 2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Taking the age of children on x-axis and proportion of children per 1 year interval on y-axis, the histogram can be drawn<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-12.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 8\"\/><\/figure>\n\n\n\n<p><strong>9. 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-13.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 9\"\/><\/figure>\n\n\n\n<p><strong>(i)<\/strong> Draw a histogram to depict the given information.<\/p>\n\n\n\n<p><strong>(ii) <\/strong>Write the class interval in which the maximum number of surnames lie.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) The class intervals in the data is having varying width. We know that the area of rectangle is proportional to the frequencies in the histogram. The class interval with minimum class size 2 is selected and the length of the rectangle is proportionate to it.<\/p>\n\n\n\n<p>The proportion of the surnames per 2 letters interval can be calculated as:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Number of letters<\/td><td>Number of surnames<\/td><td>Width of class<\/td><td>Length of rectangle<\/td><\/tr><tr><td>1-4<\/td><td>6<\/td><td>3<\/td><td>(6\/3)\u00d72 = 4<\/td><\/tr><tr><td>4-6<\/td><td>30<\/td><td>2<\/td><td>(30\/2)\u00d72 = 30<\/td><\/tr><tr><td>6-8<\/td><td>44<\/td><td>2<\/td><td>(44\/2)\u00d72 = 44<\/td><\/tr><tr><td>8-12<\/td><td>16<\/td><td>4<\/td><td>(16\/4)\u00d72 = 8<\/td><\/tr><tr><td>12-20<\/td><td>4<\/td><td>8<\/td><td>(4\/8)\u00d72 = 1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class-9-statistics-ncert-solutions-14.jpg\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.3 Que. 9\"\/><\/figure>\n\n\n\n<p>(ii) The class interval in which the maximum number of surnames lie is 6-8.<\/p>\n\n\n\n<p>Page No. 269<\/p>\n\n\n\n<p><strong>Exercise 14.4<\/strong><\/p>\n\n\n\n<p><strong>1. The following number of goals were scored by a team in a series of 10 matches:<br>2, 3, 4, 5, 0, 1, 3, 3, 4, 3<br>Find the mean, median and mode of these scores.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>Mean = Sum of all the observations\/Total number of observations<br>= (2+3+4+5+0+1+3+3+4+3)\/10 = 28\/10 = 2.8<\/p>\n\n\n\n<p>For Median, we will arrange the given data in ascending order,<br>0, 1, 2, 3, 3, 3, 3, 4, 4, 5<br>Number of observations (n) = 10<br>Number of observations are even so we will calculate median as,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class9-statistics-chapter14-mathematics-ncert-solutions-1.png\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.4 Que. 1\"\/><\/figure>\n\n\n\n<p>= (3+3)\/2 = 6\/2 = 3<\/p>\n\n\n\n<p>For Mode, we will arrange the given data in ascending order, we have<\/p>\n\n\n\n<p>0, 1, 2, 3, 3, 3, 3, 4, 4, 5.<\/p>\n\n\n\n<p>Here, 3 occurs most frequently (4 times)<\/p>\n\n\n\n<p>\u2234 Mode = 3<\/p>\n\n\n\n<p><br><strong>2. In a mathematics test given to 15 students, the following marks (out of 100) are recorded:<br>41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60<br>Find the mean, median and mode of this data.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>Mean = Sum of all the observations\/Total number of observations<br>= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)\/15 = 822\/15 = 54.8<\/p>\n\n\n\n<p>For Median, we will arrange the given data in ascending order,<br>39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98<br>Number of observations (n) = 15<br>Number of observations are odd so we will calculate median as,<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class9-statistics-chapter14-mathematics-ncert-solutions-2.png\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.4 Que. 2\"\/><\/figure>\n\n\n\n<p>For Mode, we will arrange the given data in ascending order, we have<\/p>\n\n\n\n<p>39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98<\/p>\n\n\n\n<p>Here, 52 occurs most frequently (3 times)<\/p>\n\n\n\n<p>\u2234 Mode = 52<\/p>\n\n\n\n<p><strong>3. The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.<\/strong><\/p>\n\n\n\n<p><strong>29, 32, 48, 50, x, x+2, 72, 78, 84, 95<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>Number of observations (n) = 10 (even)<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class9-statistics-chapter14-mathematics-ncert-solutions-3.png\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.4 Que. 3\"\/><\/figure>\n\n\n\n<p>According to question, Median = 63<\/p>\n\n\n\n<p>\u2234 x + 1 = 63<\/p>\n\n\n\n<p>\u21d2 x = 63\u22121 = 62<\/p>\n\n\n\n<p>Hence, the value of x is 62.<\/p>\n\n\n\n<p><strong>4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.<\/strong><\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>The given data is,<\/p>\n\n\n\n<p>14,25,14,28,18,17,18,14,23,22,14,18&nbsp;<\/p>\n\n\n\n<p>Arranging the data in ascending order,&nbsp;<\/p>\n\n\n\n<p>14,14,14,14,17,18,18,18,22,23,25,28&nbsp;<\/p>\n\n\n\n<p>Here, 14 occurs most frequently (4 times). Mode = 14<\/p>\n\n\n\n<p><strong>5. Find the mean salary of 60 workers of a factory from the following table:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class9-statistics-chapter14-mathematics-ncert-solutions-4.png\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.4 Que. 5\"\/><\/figure>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Salary (x<sub>i<\/sub>)<\/strong><\/td><td><strong>Number of workers (f<sub>i<\/sub>)<\/strong><\/td><td><strong>f<sub>i<\/sub>x<sub>i<\/sub><\/strong><\/td><\/tr><tr><td>3000<\/td><td>16<\/td><td>48000<\/td><\/tr><tr><td>4000&nbsp;<\/td><td>12<\/td><td>48000<\/td><\/tr><tr><td>5000<\/td><td>10<\/td><td>50000<\/td><\/tr><tr><td>6000<\/td><td>8<\/td><td>48000<\/td><\/tr><tr><td>7000<\/td><td>6<\/td><td>42000<\/td><\/tr><tr><td>8000<\/td><td>4<\/td><td>32000<\/td><\/tr><tr><td>9000<\/td><td>3<\/td><td>27000<\/td><\/tr><tr><td>10000<\/td><td>1<\/td><td>10000<\/td><\/tr><tr><td>Total<\/td><td>\u03a3f<sub>i<\/sub>&nbsp;= 60<\/td><td>\u03a3f<sub>i<\/sub>x<sub>i<\/sub>&nbsp;= 305000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/class9-statistics-chapter14-mathematics-ncert-solutions-5.png\" alt=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics Ex. 14.4 Que. 5\"\/><\/figure>\n\n\n\n<p>Hence, the mean salary is \u20b95083.33<\/p>\n\n\n\n<p><strong>6. Give one example of a situation in which<\/strong><\/p>\n\n\n\n<p><strong>(i)<\/strong> the mean is an appropriate measure of central tendency.<\/p>\n\n\n\n<p><strong>(ii)<\/strong> the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.<\/p>\n\n\n\n<p><strong>Answer<\/strong><\/p>\n\n\n\n<p>(i) Mean marks in a test in mathematics.<\/p>\n\n\n\n<p>(ii) Average beauty<\/p>\n\n\n\n<p>Chapter 14 Statistics Class 9 Maths NCERT Solutions will help you&nbsp;in understanding the concepts in a better way. Statistics deals with collection, organisation, analysis and interpretation of data. It deals with the collection, presentation, analysis of data as well as drawing of meaningful conclusions from the data.<\/p>\n\n\n\n<p>\u2022&nbsp;Collection of Data: When the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data. In the second case, when the information was gathered from a source which already had the information stored, the data obtained is called secondary data.<\/p>\n\n\n\n<p>\u2022&nbsp;Presentation of Data: Presenting data in this form simplifies and condenses data and enables us to observe certain important features at a glance. This is called a grouped frequency distribution table.<\/p>\n\n\n\n<p>\u2022&nbsp;Graphical Representation of Data: The graphical representation makes data&nbsp;easier to understand than the actual data. Bar graphs, Histograms of uniform width, and of varying widths and Frequency polygons are some of the graphical representations in this section.<\/p>\n\n\n\n<p>\u2022&nbsp;Measures of Central Tendency: The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations. The median is that value of the given number of observations, which divides it into exactly two parts.&nbsp;<\/p>\n\n\n\n<p>There are total 4 exercises in the <strong>Chapter 14 Statistics NCERT Solutions<\/strong> which will useful in developing your problem solving skills and learning diverse topics. We have also prepared exercisewise NCERT Solutions which you can find them below.<\/p>\n\n\n\n<p>Indcareer Schools subject matter experts have curated these questions which will help in revising the chapter properly. These NCERT Solutions will guide student in a better way and useful in learning efficiently.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">NCERT Solutions for Class 9 Maths Chapters:<\/h4>\n\n\n\n<p><strong>FAQ on&nbsp;<\/strong><strong>Chapter&nbsp;<\/strong><strong>14 Statistics<\/strong><br><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">What are the benefits of NCERT Solutions for Chapter 14 Statistics Class 9 NCERT Solutions?<\/h4>\n\n\n\n<p>These NCERT Solutions are updated as per the latest guidelines introduced by CBSE and will improve the learning behaviour of the students. It will be quite helpful in gaining good marks in the examinations.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Find the range of the data 9, 7, 5, 7, 9, 9, 6, 18, 9 and 8.<\/h4>\n\n\n\n<p>Highest data = 18<\/p>\n\n\n\n<p>Lowest data = 5<\/p>\n\n\n\n<p>\u21d2 Range = 18 \u2013 5 = 13.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">What do you mean by grouped data?<\/h4>\n\n\n\n<p>The data condensed into groups or classes are called grouped data.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">What is the class-mark of the class 130 \u2013 150?<\/h4>\n\n\n\n<p>Class-mark =&nbsp; ((130+150)\/2)<\/p>\n\n\n\n<p>&nbsp;= (280\/2)<\/p>\n\n\n\n<p>&nbsp; = 140.<\/p>\n\n\n\n<p>NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-solutions-for-9th-class-maths-chapter-14-nbsp-download-pdf\">NCERT Solutions for 9th class Maths : Chapter 14:&nbsp;<strong>Download PDF<\/strong><\/h2>\n\n\n\n<p>NCERT Solutions for 9th class Maths : Chapter 14 Statistics<\/p>\n\n\n\n<p><a href=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/09\/NCERT-Solutions-for-9th-class-Maths-_-Chapter-14-Statistics.pdf\"><strong>Download PDF<\/strong>: NCERT Solutions for 9th class Maths : Chapter 14 Statistics PDF<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-chapterwise-ncert-solutions-for-class-9-maths\"><strong>Chapterwise NCERT Solutions for Class 9 Maths :<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-1-number-systems\/\">Chapter 1 Number System<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-2-polynomials\/\">Chapter 2 Polynomials<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-3-coordinate-geometry\/\">Chapter 3 Coordinate Geometry<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-4-linear-equations-in-two-variables\/\">Chapter 4 Linear Equations in Two Variables<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-5-introduction-to-euclids-geometry\/\">Chapter 5 Introduction to Euclid&#8217;s Geometry<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-6-lines-and-angles\/\">Chapter 6 Lines and Angles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-7-triangles\/\">Chapter 7 Triangles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-8-quadrilaterals\/\">Chapter 8 Quadrilaterals<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-9-areas-of-parallelograms-and-triangles\/\">Chapter 9 Areas of Parallelograms and Triangles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-10-circles\/\">Chapter 10 Circles<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-11-constructions\/\">Chapter 11 Constructions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-12-herons-formula\/\">Chapter 12 Heron\u2019s Formula<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-13-surface-areas-and-volumes\/\">Chapter 13 Surface Areas and Volumes<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\">Chapter 14 Statistics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-15-probability\/\">Chapter 15 Probability<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-about-ncert\">About NCERT<\/h2>\n\n\n\n<p>The National Council of Educational Research and Training is an autonomous organization of the Government of India which was established in 1961 as a literary, scientific, and charitable Society under the Societies Registration Act. Its headquarters are located at Sri Aurbindo Marg in New Delhi. <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noreferrer noopener\">Visit the Official NCERT website<\/a> to learn more. <\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions\/\">NCERT Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-class-ix\/\">NCERT Solutions for Class 9<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths\/\">NCERT Solutions for Class 9 Maths<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Class 9: Maths Chapter 14 solutions. Complete Class 9 Maths Chapter 14 Notes. NCERT Solutions for 9th class Maths : Chapter 14 Statistics NCERT 9th Maths Chapter 14, class 9 Maths Chapter 14 solutions Page No: 239 Exercise 14.1 1. Give five examples of data that you can collect from your day-to-day life. Answer Five [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":627801,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,921],"tags":[1491],"boards":[1180],"class_list":["post-101632","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-9","tag-ncert-maths-class-9","boards-ncert","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions for Class 9, Maths Chapter 14 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics | Browse all Class 9 Maths Chapters NCERT books - IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics\" \/>\n<meta property=\"og:description\" content=\"Class 9: Maths Chapter 14 solutions. 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NCERT Solutions for 9th class Maths : Chapter 14 Statistics NCERT 9th Maths\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2021-02-09T09:43:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-09-18T02:55:20+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/NCERT-Solutions-11-3-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"900\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Pooja\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@indcareer\" \/>\n<meta name=\"twitter:site\" content=\"@indcareer\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Pooja\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"21 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\"},\"author\":{\"name\":\"Pooja\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/#\/schema\/person\/d6945cf059726f162259ba738092301e\"},\"headline\":\"NCERT Solutions for 9th class Maths : Chapter 14 Statistics\",\"datePublished\":\"2021-02-09T09:43:33+00:00\",\"dateModified\":\"2023-09-18T02:55:20+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\"},\"wordCount\":3390,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2021\/02\/NCERT-Solutions-11-3-scaled.jpg\",\"keywords\":[\"NCERT Maths (class 9)\"],\"articleSection\":[\"Book Solutions\",\"class 9\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-9th-class-maths-chapter-14-statistics\/\",\"name\":\"NCERT Solutions for Class 9, Maths Chapter 14 - 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Complete Class 9 Maths Chapter 14 Notes. 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