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

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

4. What is the median of the numbers 2, 8, 2, 3, 8, 5, 9, 5, 6?

(a) 8 (b) 6.5 (c) 5.5 (d) 5

5. 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?

6. 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?

7. If the arithmetic mean of the given values is \(9.5\), determine the value of \(x\): \(12, 6, 7, 3, x, 10, 18, 5\).

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

10. If the data set \(6, 8, 10, 12, 13, x\) arranged in ascending order has equal mean and median, find the value of \(x\).

11. 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)

12. Translate the following and find the mode of the data:
15, 11, 10, 8, 15, 18, 17, 15, 10, 19, 10, 11, 10, 8, 19, 15, 10, 18, 15, 3, 16, 14, 17, 2
Mode = 15 (since it appears most frequently)

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

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

14. If the mode of the numbers 64, 60, 48, x, 43, 48, 43, 34 is 43. Then the value of \((x+3)\) is.

(a) 44 (b) 45 (c) 46 (d) 48

15. What will be the median of 33, 86, 68, 32, 80, 48, 70, 64, and 75?

(a) 64 (b) 68 (c) 70 (d) 75

16. The median of the quantities 94, 33, 86, 68, 32, 80, 48, 70 will be —

(a) 68 (b) 67 (c) 69 (d) 70

17. In the dataset 12, 18, 24, 31, 32, 38, 43, 48 — if the number 31 were not present, how much would the median decrease or increase?

(a) 1.5 decrease (b) 1.5 increase (c) 0.5 decrease (d) 0.5 increase

18. 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 \(x\).

19. The ages (in years) of some students are: 10, 11, 9, 7, 13, 8, 14; the median of their ages is _____ years.

20. 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

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

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. If the ages of several students are 10, 11, 9, 7, 13, 8, and 14 years, then their median _____.

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

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

25. Some students are aged (in years): 10, 11, 9, 13, 8, 14; The median of their ages is —— years.

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

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

27. The median of the numbers 67, 62, 70, 68, 90, 84, 94, 98:

(a) 77 (b) 70 (c) 68 (d) 84

28. If the data arranged in ascending order, 8, 9, 12, 17, x+2, x+4, 30, 31, 34, 39 has a median of 24, then the value of x -

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

29. 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

30. 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