NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

In Class 7 Maths NCERT Solutions Chapter 3 Data Handling, students will learn about data collection, organization, and interpretation, which are very important in both everyday life and mathematics. This chapter teaches how data is shown in tables and frequency distribution tables to find patterns and trends. Also get to know how to calculate mean, median, and mode, which give a representative value of a dataset and show the central tendency. 

The topic of data handling helps in gathering, organizing, and presenting information in the right way, so that students can analyze it better. It also explore how graphs can be used in so many ways to present data clearly. With the help of NCERT Solutions Class 7 Maths Chapter 3 and the latest CBSE Class 7 Maths Syllabus prepared by experts, solving every exercise becomes easier. Knowing data is like fuel for learning because it gives many opportunities and prepares for bigger challenges in the future.

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Introduction 

This chapter is very interesting because it teaches us step by step how to manage numbers and information in real life. Here are the main topics covered:

• Data Collection – how to gather information.
• Data Organization – arranging data in order.
• Data Interpretation – understanding what the data shows.
• Tables and Frequency Distribution Tables – putting data in tables to see patterns and trends.
• Graphs – bar graphs, pictographs, and double bar graphs to present data visually.
• Mean, Median, and Mode – finding the central tendency or representative value of a dataset.
• Probability (Chance and Likelihood) – simple ideas of chance in daily life.

In Class 7 Maths Chapter 3 Data Handling, students will learn how data is collected from different sources and then organized properly so that it becomes easy to study. For example, if I want to know how many students like cricket in my class, I can collect data and put it into a table.

Then, students will observe how frequency distribution tables can be used to get patterns and trends. Such tables are useful in the comparison of data and its better interpretation. Students are trained to create graphs such as bar graphs as well as pictographs. Graphs are also very helpful, as the data is demonstrated in forms of pictures, which makes the learning process more enjoyable and easier.

This chapter also introduces to the concepts of mean, median, and mode. 

• Mean is the average of numbers.
• Median is the middle value of data when arranged in order.
• Mode is the number that appears the most in the data.

Together, they are called measures of central tendency and they give a representative value of the dataset.

Finally, will learn the basics of probability, which tells about the chance of something happening, like the chance of getting heads when I toss a coin.

So, data handling is like a foundation skill, which gives confidence to handle bigger Maths problems in higher classes.

Download NCERT Solutions Chapter 3 of Class 7th Maths Free PDF

Students can easily download the free PDF and start your practice anytime. Having the NCERT Solutions in PDF format makes it simple to revise and solve questions step by step without any confusion.

It is always easier to prepare when you have a downloadable NCERT Solutions PDF with you. It helps to practice more, check answers quickly, and get ready for exams with confidence. So, go ahead and download the Class 7 Maths Chapter 3 NCERT Solutions PDF now and start practicing to score better.

With this free PDF, one can:

• Practice all NCERT questions in one place
• Understand step-by-step solutions clearly
• Revise anytime, even offline

Exercises under NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercise Solutions

Exercise 3.1 Solutions

Q1. Find the range of heights of any ten students in your class.

Answer:
Suppose the heights of 10 students are (in cm): 142, 138, 150, 145, 135, 152, 140, 148, 139, 147

Tallest height = 152 cm

Shortest height = 135 cm

Range = 152 – 135 = 17 cm

Q2. Organize 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 highest?
(ii) Which number is lowest?
(iii) What is the range of the lowest?
(iv) Find the arithmetic mean

(i) Highest number = 9
(ii) Lowest number = 1
(iii) Range = 9 – 1 = 8
(iv) Sum of marks = 100, Number of marks = 20
Arithmetic Mean = 100 ÷ 20 = 5

Q5. Following table shows the points 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 47? Why?
(iii) B played in all the four games. How would you find the mean?
(iv) Who is the best performer?

Answer:

(i) A’s mean = 50 ÷ 4 = 12.5
(ii) C played only 3 games, so divide total (32) by 3. Mean = 10.67
(iii) B’s mean = 18 ÷ 4 = 4.5
(iv) Best performer = A (highest average).

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) The highest and the lowest marks obtained by the students.
(ii) Range of the marks obtained.
(iii) Mean marks obtained by the group.

Answer:
(i) Highest = 95, Lowest = 39
(ii) Range = 95 – 39 = 56
(iii) Sum = 730, Number = 10
Mean = 730 ÷ 10 = 73

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.

Answer:
Sum = 12348
Mean = 12348 ÷ 6 = 2058

Q8. The rainfall (in mm) in a city on 7 days of a certain week recorded as follows

32, 12, 48, 20, 50, 42, 0

(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.

Answer:
(i) Range = 50 – 0 = 50
(ii) Mean = (32+12+48+20+50+42+0) ÷ 7 = 204 ÷ 7 = 29.14 mm
(iii) Days with rainfall less than mean = 12, 20, 0 → 3 days

Q9. The height 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 data?
(iv) What is the mean height of the girls?
(v) How many girls have heights more than the mean height?

Answer:
(i) Tallest = 151 cm
(ii) Shortest = 128 cm
(iii) Range = 151 – 128 = 23 cm
(iv) Sum = 1414, Mean = 1414 ÷ 10 = 141.4 cm
(v) Heights above mean = 150, 151, 146, 149, 143 → 5 girls

Exercise 3.2 Solutions

Q1. The scores in mathematics test (out of 25) of 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?

Answer:
Mode = 20 (appears 4 times)
Arranging data: 5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25
Median = 8th value = 20
Yes, Mode and Median are same.

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

Answer:
Sum = 439, Mean = 439 ÷ 10 = 43.9
Mode = 15 (appears 3 times)
Arranging data: 6, 8, 10, 15, 15, 15, 50, 80, 100, 120
Median = (5th+6th) ÷ 2 = (15+15) ÷ 2 = 15
Not all three are same.

Q3. The weight (in kg) of 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.

Answer:
Mode = 43 (appears 3 times)
Arranging data: 32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50
Median = 8th term = 40

Q4. Find the mode and median of the data: 13,16,12,14,19,12,14,13,14

Answer:
Mode = 14 (appears 3 times)
Arranging data: 12, 12, 13, 13, 14, 14, 14, 16, 19
Median = 5th term = 14

Q5. Tell whether the statement is true or false:

(i) The mode is always one of the numbers in a data.
Answer: True

(ii) The mean is one of the numbers in a data.
Answer: False

(iii) The median is always one of the numbers in a data.
Answer: False

Important Formulas Used in Chapter 3 of Class 7th Maths