Class 9 Maths Chapter 10 MCQs with Answers – Understanding Data

Class 9 Maths Chapter 10 MCQs

15 MCQs for Class 9 Maths Chapter 10 – Understanding Data

Question 1. Find the mean of 4, 6, 8, 10 and 12.

A. 6

B. 8

C. 10

D. 12

Question 2. Find the median of 3, 7, 9, 11 and 15.

A. 7

B. 8

C. 9

D. 11

Question 3. Find the mode of the data: 2, 3, 3, 4, 5, 3, 6.

A. 2

B. 3

C. 4

D. 6

Question 4. What is the range of the data: 12, 18, 7, 25, 15?

A. 12

B. 15

C. 18

D. 25

Question 5. The marks of five students are 10, 20, 30, 40 and 50. What is their mean?

A. 20

B. 25

C. 30

D. 35

Question 6. Find the median of 4, 8, 10 and 14.

A. 8

B. 9

C. 10

D. 11

Question 7. Which measure represents the value that occurs most frequently in a data set?

A. Mean

B. Median

C. Mode

D. Range

Question 8. The mean of 5 numbers is 12. What is their total sum?

A. 17

B. 50

C. 60

D. 72

Question 9. Find the mode of 6, 8, 8, 10, 12, 12, 12, 14.

A. 8

B. 10

C. 12

D. 14

Question 10. Find the range of 5, 9, 13, 17 and 21.

A. 12

B. 14

C. 16

D. 21

Question 11. The mean of 4 numbers is 15. Three of the numbers are 10, 12 and 18. Find the fourth number.

A. 15

B. 18

C. 20

D. 25

Question 12. Which graph is commonly used to compare frequencies across different categories?

A. Bar graph

B. Number line

C. Circle only

D. Algebraic expression

Question 13. Find the median of 2, 5, 7, 8, 10, 12 and 15.

A. 7

B. 8

C. 9

D. 10

Question 14. The numbers of books read by five students are 2, 4, 4, 5 and 10. What is the mode?

A. 2

B. 4

C. 5

D. 10

Question 15. If every value in a data set is increased by 3, what happens to the mean?

A. It decreases by 3.

B. It remains unchanged.

C. It increases by 3.

D. It doubles.

Answer Key – Class 9 Maths Chapter 10 MCQs

Answer Key with Explanations – Class 9 Maths Chapter 10

Question 1 — Correct Answer: B. 8

Mean = Sum of values ÷ Number of values.

Mean = (4 + 6 + 8 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8.

Question 2 — Correct Answer: C. 9

The data are already arranged in ascending order. The middle value of the five observations is 9.

Question 3 — Correct Answer: B. 3

The number 3 occurs three times, more frequently than any other value. Therefore, the mode is 3.

Question 4 — Correct Answer: C. 18

Range = Maximum value − Minimum value = 25 − 7 = 18.

Question 5 — Correct Answer: C. 30

Mean = (10 + 20 + 30 + 40 + 50) ÷ 5 = 150 ÷ 5 = 30.

Question 6 — Correct Answer: B. 9

There are four observations. The median is the mean of the two middle values: (8 + 10) ÷ 2 = 9.

Question 7 — Correct Answer: C. Mode

The mode is the value that appears most frequently in a data set.

Question 8 — Correct Answer: C. 60

Sum = Mean × Number of values = 12 × 5 = 60.

Question 9 — Correct Answer: C. 12

The number 12 occurs three times, more often than any other value. Therefore, the mode is 12.

Question 10 — Correct Answer: B. 16

Range = Maximum value − Minimum value = 21 − 5 = 16.

Question 11 — Correct Answer: C. 20

The total of all four numbers is 4 × 15 = 60.

The sum of the known numbers is 10 + 12 + 18 = 40.

Fourth number = 60 − 40 = 20.

Question 12 — Correct Answer: A. Bar graph

A bar graph uses bars to compare frequencies or quantities across categories.

Question 13 — Correct Answer: B. 8

There are seven values arranged in ascending order. The fourth value, 8, is the median.

Question 14 — Correct Answer: B. 4

The value 4 occurs twice, while every other value occurs once. Therefore, the mode is 4.

Question 15 — Correct Answer: C. It increases by 3.

Adding 3 to every observation increases their total by 3 times the number of observations. After dividing by the number of observations, the mean increases by 3.

Quick Revision

• Mean: Sum of all observations ÷ Number of observations.
• Median: The middle value after arranging the data in order; for an even number of observations, average the two middle values.
• Mode: The value that occurs most frequently.
• Range: Maximum value − Minimum value.
• Bar graph: A visual way to compare values or frequencies across categories.

Want More Practice?

Improve your data-handling skills with our Class 9 Maths Chapter 10 Worksheet — 50 MCQs from Science World By Tushar Sir.

Class 9 Maths · Chapter 10

• 50 additional multiple-choice questions
• Answer key and solutions
• Convenient downloadable PDF