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Grade 7 Maths Ncert solutions Data Handling

NCERT books are recommended text book for CBSE school curriculum. Most of the govt aided and private schools in India follow NCERT text books as the syllabus books for school subjects. They are written by eminent academicians and scholars from leading universities and academic institutions in India, and help in building a strong base, as well help understand each concept by relevant examples and exercises. They are termed best in term of concept building, for their usage of real life practical examples, and good end of the chapter exercises.

In this article, we have shared solved NCERT exercises for Class 7 maths Data Handling chapter.  Data handing is an important chapter, as it set a base for the statistics for the future classes, as well as build the logical reasoning skills among the students, when they analyze various graphs and infer the useful information from data. These NCERT solutions will help students in solving their doubts and clarifying confusion regarding confusions regarding data handling chapter. Students can refer to NCERT solutions for Data Handling chapter for their conceptual understanding, as well as matching their own answers with the right solutions of the exercises.

Class 7 math ncert solution Data Handling chapter

Exercise 3.1 solutions

Q1 –  Find the range of heights of any ten students of your class. View solution

Q2 –  Organise the following marks in a class assessment, in a tabular form- 4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7 (i) Which number is the highest? (ii) Which number is the lowest? (iii) What is the range of the data? (iv) Find the arithmetic mean. View solution

Q3 –  Find the mean of the first five whole numbers. View solution

Q4 –  A cricketer scores the following runs in eight innings: 58, 76, 40, 35, 46, 45, 0, 100. Find the mean score. View solution

Q5 – Following table shows the points of each player scored in four games. Now answer the following questions: (i) Find the mean to determine A’s average number of points scored per game. (ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why? (iii) B played in all the four games. How would you find the mean? (iv) Who is the best performer? View solution

Q6 –  The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the: (i) Highest and the lowest marks obtained by the students. (ii) Range of the marks obtained. (iii) Mean marks obtained by the group. View solution

Q7 – The enrolment in a school during six consecutive years was as follows: 1555, 1670, 1750, 2013, 2540, 2820. Find the mean enrolment of the school for this period. View solution

Q8 – The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows: (i) Find the range of the rainfall in the above data. (ii) Find the mean rainfall for the week. (iii) On how many days was the rainfall less than the mean rainfall. View solution

Q9 –  The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141. (i) What is the height of the tallest girl? (ii) What is the height of the shortest girl? (iii) What is the range of the data? (iv) What is the mean height of the girls? (v) How many girls have heights more than the mean height. View solution

Exercise 3.2 solutions

Q1 – The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.Find the mode and median of this data. Are they same? View solution

Q2 – The runs scored in a cricket match by 11 players is as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15. Find the mean, mode and median of this data. Are the three same? View solution

Q3 – The weights (in kg.) of 15 students of a class are: 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47. (i) Find the mode and median of this data (ii) Is there more than one mode? View solution

Q4 – Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14 View solution

Q5 – Tell whether the statement is true or false:(i) The mode is always one of the numbers in a data. (ii) The mean is one of the numbers in a data. (iii) The median is always one of the numbers in a data. (iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9. View solution

Exercise 3.3 solutions

Q1 – Use the bar graph to answer the following questions. (a) Which is the most popular pet? (b) How many students have dog as a pet? View solution

Q2 – Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions: (i) About how many books were sold in 1989? 1990? 1992? (ii) In which year were about 475 books sold? About 225 books sold? (iii) In which years were fewer than 250 books sold?(iv) Can you explain how you would estimate the number of books sold in 1989? View solution

Q3 – Number of children in six different classes are given below. Represent the data on a bar graph. (a) How would you choose a scale? (b) Answer the following questions: (i) Which class has the maximum number of children? And the minimum? (ii) Find the ratio of students of class sixth to the students of class eight. View solution

Q4 – The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following: (i) In which subject, has the child improved his performance the most? (ii) In which subject is the improvement the least? (iii) Has the performance gone down in any subject? View solution

Q5 – Consider this data collected from a survey of a colony (i) Draw a double bar graph choosing an appropriate scale. (ii) Which sport is most popular? (iii) Which is more preferred, watching or participating in sports? View solution

Q6 – Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following: (i) Which city has the largest difference in the minimum and maximum temperature on the given date? (ii) Which is the hottest city and which is the coldest city? (iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other. (iv) Name the city which has the least difference between its minimum and the maximum temperature. View solution

Exercise 3.4 solutions

Q1 – Tell whether the following is certain to happen, impossible, can happen but not certain. (i) You are older today than yesterday. (ii) A tossed coin will land heads up. (iii) A die when tossed shall land up with 8 on top. (iv) The next traffic light seen will be green. (v) Tomorrow will be a cloudy day. View solution

Q2 – There are 6 marbles in a box with numbers from 1 to 6 marked on each of them. (i) What is the probability of drawing a marble with number 2? (ii) What is the probability of drawing a marble with number 5? View solution

Q3 – A coin is flipped to decide which team starts the game. What is the probability that your team will start? View solution

End Note

In the article, we have shared solutions for ncert exercises for class 7 maths for Data Handling chapter. Students can click to respective chapters and refer to the right solution. We advise students to refer to them as clearing their concepts, and matching their solutions. Student should not use them to copy solutions for their homework and instead should try to solve homework on own, as it will impact their learning process. In our observation, many students struggle in working with graphs and data. This chapter also touch the basic of probability which is also an important topic of mathematics. These ncert solutions on data handling chapter will help them clear their conceptual doubts too.

In case you have any doubts regarding solution, or need further clarification, you can write to us. You can also reach out to us, in case you have doubt in other text books’ problems or school exam papers. We will be glad to assist you in helping with your doubt.

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