Prepared by Mohsim Digital Education

Statistics Practice Problems with Solutions - CBSE Grade 10

CBSE Grade 10 | Math | Statistics
Name: _________________________ Date: _________________________ Score: _______ / 40

The mean of 2, 4, 6, 8 and 10 is 6 and the median of 3, 1, 7, 5 and 9 is 5, so this Class 10 sheet opens by averaging and ordering for the middle value. The key records 3 among the later answers and mode as a measure.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. The mean of the numbers 2, 4, 6, 8 and 10 is
(a) 5(b) 6(c) 7(d) 8
2. The median of the numbers 3, 1, 7, 5 and 9 is
(a) 3(b) 5(c) 7(d) 9
3. The mode of the data 2, 3, 3, 4, 5, 3, 2 is
(a) 2(b) 3(c) 4(d) 5
4. If the mean of 5 numbers is 20, then their sum is
(a) 20(b) 100(c) 4(d) 25
5. The median of the first five natural numbers is
(a) 2(b) 3(c) 4(d) 5
6. The most frequently occurring value in a data set is called the
(a) Mean(b) Median(c) Mode(d) Range

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Find the mean of the first five whole numbers.
8. Find the median of the data 9, 4, 6, 1, 5, 8, 3.
9. Find the mode of the data 1, 2, 2, 3, 4, 2, 5.
10. If the mean of 6 numbers is 15, find their sum.
11. Write the formula for the mean of ungrouped data.
12. Find the range of the data 2, 8, 3, 11, 5.
13. Find the median of the data 7, 3, 9, 1, 5.
14. State the empirical relationship between mean, median and mode.

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. The mean of five numbers is 12. Four of them are 8, 10, 14 and 16. Find the fifth number.
16. Find the mean and the median of the numbers 2, 5, 8, 11 and 14.
17. The marks of 8 students are 45, 50, 55, 60, 65, 70, 75 and 80. Find the mean mark.
18. The mode of a data set is 7. The total of 20 values in the set is 140. Find the mean of the set.
19. Find the median of the data 3, 6, 8, 10, 12 and 15.
20. The mean of 10 numbers is 25. If the number 45 is removed, find the new mean.

Answer Key

1. b) 6
2. b) 5
3. b) 3
4. b) 100
5. b) 3
6. c) Mode
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

What is the mean of 2, 4, 6, 8 and 10?

6, option (b) in this worksheet (Q1).

What is the median of 3, 1, 7, 5 and 9?

5, option (b) in this worksheet (Q2).

Which measure is the most frequent value?

The mode, option (c) in this worksheet (Q6).

Stuck on a similar problem? Clear your next doubt instantly with the Doubt Solver.
Browse more free worksheets for CBSE Grade 10.