1. The median of the series 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18 will be –

(a) 10 (b) 11 (c) 10.5 (d) 11.5

2. The combined mean of the numbers 9, 12, 15, 18, 20, 22 increases by 2 if the number ___ is taken instead of 15.

(a) 27 (b) 19 (c) 21 (d) 25

3. A group of 12 students was given 10 puzzles. The number of correct answers by each student was: 2, 4, 3, 5, 2, 5, 8, 2, 3, 9, 5, 2 What is the mode of this data?

4. What will be the median of the numbers 8, 15, 10, 11, 7, 9, 11, 13, and 16?

5. If the number 15 is replaced by ----------, the combined average of the numbers 9, 12, 15, 18, 20, 22 will increase by 1.

6. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16 is:

(a) 15 (b) 10 (c) 11.5 (d) 11

7. If 29 is removed from the dataset 20, 22, 25, 26, 27, 28, 29, 30, the median will decrease by –

(a) 2 (b) 1.5 (c) 1 (d) 0.5

8. The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13, 16 will be —

(a) 15 (b) 10 (c) 7 (d) 11

9. The marks obtained by 14 students are: 42, 51, 56, 45, 62, 59, 50, 52, 55, 64, 45, 54, 58, 60. Let’s find the **median** of these marks.

10. In a game, scores of 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 were obtained; the average score was 10.

11. What's the median of 8, 15, 10, 11, 7, 9, 11, 13, 16?

(a) 15 (b) 11 (c) 10 (d) 11.5

12. The median of the data set 6,7,8,8,9,15,10,15,20,19,25,24,216,7,8,8,9,15,10,15,20,19,25,24,21 is:

(a) 10 (b) 15 (c) 9 (d) 19

13. The mode of the numbers 1, 3, 2, 8, 10, 8, 3, 2, 8, 8 is—?

(a) 2 (b) 3 (c) 8 (d) 10

14. What is the median of 3, 9, 7, 4, 8, and 6?

(a) 5 (b) 5.5 (c) 6 (d) 6.5

15. The median of the data set 10, 12, 14, 18, 15, 200, 100, 20, 22, 24 will be —

(a) 19 (b) 21 (c) 23 (d) 50

16. The numbers 11, 12, 14, \(x - 2\), \(x + 4\), \(x + 9\), 32, 38, 47 are arranged in ascending order, and their median is 24. Find the value of \(x\).

17. Range of the data: 12, 25, 15, 18, 17, 20, 22, 26, 6, 16, 11, 8, 19, 10, 30, 20, 32

(a) 10 (b) 15 (c) 18 (d) 26

18. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16.

19. Three friends contributed ₹8,000, ₹10,000, and ₹12,000 respectively and started a business by also taking a loan from the bank. At the end of the year, they made a profit of ₹13,400. After repaying the bank’s annual installment of ₹5,000 from the profit, they divided the remaining amount among themselves in proportion to their capital contributions. How much will each of them receive from the remaining profit?

20. If the ascending order of data is 8, 9, 12, 17, \(x+2\), \(x+6\), 30, 31, 34, 39 and its median is 24, determine the value of \(x\).

(a) 22 (b) 21 (c) 20 (d) 24

21. If the median of the ordered data set 8, 9, 12, 17, x+2, x+4, 30, 31, 34, 39 is 24, find the value of x.

(a) 22 (b) 21 (c) 20 (d) 24

22. The numbers 11, 12, 14, \(x-2\), \(x+4\), \(x+9\), 32, 38, 47 are arranged in ascending order, and their median is 24. Find the value of \(x\).

23. Find the median of 8, 15, 10, 11, 7, 9, 11, 13, and 16.

(a) 15 (b) 10 (c) 11.5 (d) 11

24. The mode of the data set 2, 8, 9, 10, 9, 3, 9 is 10.

25. Translate the following and find the mode of the data:
8, 5, 4, 6, 7, 4, 4, 3, 5, 4, 5, 4, 4, 5, 5, 4, 3, 3, 5, 4, 6, 5, 4, 5, 4, 5, 4, 2, 3, 4
Mode = 4 (since it appears most frequently)

26. If the data arranged in ascending order is 8, 9, 12, 17, x+2, x+4, 30, 31, 34, 39 and the median is 24, then the value of x is—

(a) 22 (b) 21 (c) 20 (d) 24

27. If the data arranged in ascending order is 8, 9, 12, 17, x+2, x+4, 30, 34, 39 and the median is 24, then the value of x is _____.

28. Translate: If the data 9, 10, 12, 15, (x + 1), (x + 3), 32, 35, 36, 40 are arranged in ascending order, the median is 20. Find the value of x.

(a) 16 (b) 17 (c) 18 (d) 20

29. If the combined average of the data set 7, 5, 2, 10, x, 6, 4, y, 8, 1 is 5, then what is the value of \(x + y\)?

30. Here’s the English translation of your math problem: If the ascending data set is \[ 27,\ 31,\ 46,\ 52,\ x,\ y + 2,\ 71,\ 79,\ 85,\ 90 \] and the median of the set is \(64\), then what is the value of \(x + y\)?

(a) 125 (b) 126 (c) 127 (d) 128