NCERT Solutions For Class 7 Maths Chapter 3 Data Handling Exercise 3.1

This article provides NCERT Solutions for Class 7 Maths Exercise 3.1 Chapter 3 Data Handling in a simple PDF format. This exercise helps students to understand how to collect and organize data and how to calculate the average value. Mean is the most common representative value of a group of data.

It is essential for Class 7 students to solve this exercise to strengthen their understanding of these concepts. Solving NCERT Solutions for Class 7 Chapter 3 will also help them to answer questions asked in exams. So, download the PDF and enhance your understanding of data handling concepts.

Class 7, Maths, Chapter 3, Exercise 3.1 Solutions

Q.1. Find the range of heights of any ten students of your class.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.1

Q.2. 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.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.2

Q.3. Find the mean of the first five whole numbers.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.3

Q.4. A cricketer scores the following runs in eight innings: 58, 76, 40, 35, 46, 45, 0, 100.

Find the mean score.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.4

Q.5. Following table shows the points of each player scored in four games:

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.5 table

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?

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.5

Q.6. 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.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.6

Q.7. 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.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.7

Q.8. The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.8 table

(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.

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.8

Q.9. 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

NCERT Solutions For Class 7 Chapter 3, Data Handling, Exercise 3.1 Q.9

NCERT Solutions For Class 7 Maths, Chapter 3, Data Handling (All Exercises)