1. 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

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

3. 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

4. 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 _____.

5. 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

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

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

7. 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

8. 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

9. If the data arranged in ascending order is 6, 9, 11, 12, x+2, x+3, 17, 20, 21, 24 and the median is 21, then the value of x will be —

(a) 13.5 (b) 15.5 (c) 18.5 (d) 21.5

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

11. 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

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

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

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

14. 3, 5, 3, 4, 3, 6, 3, 7, 4, 8, 4. The frequency of 6 is 1 and the mode is 3.

15. 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)

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

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

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

18. If the average of the numbers 6, 7, x, 8, y, and 14 is 9, then

(a) x+y=21 (b) x+y=19 (c) x-y=21 (d) x-y=19

19. If 35 is not present in the data set 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

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

20. 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

21. If the average of the numbers 6, 7, x, 8, y, and 16 is 9, then—?

(a) x + y = 21 (b) x + y = 17 (c) x - y = 21 (d) x - y = 19

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

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

23. 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?

24. The median of the data set 3, 14, 18, 20, 5 is 18.

25. 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 \(x\).

26. A, B, and C started a business together with capital investments of ₹6,000, ₹8,000, and ₹9,000 respectively. After a few months, A invested an additional ₹3,000 into the business. At the end of the year, the total profit was ₹30,000, and C received ₹10,800 as his share of the profit. When did A invest the additional ₹3,000?

27. A man deposited a total of ₹29,000 in a bank in the names of his two daughters, aged 12 and 14, in such a way that when each turns 18, they would receive the same amount including principal and interest at a 10% rate of interest. Find how much money was deposited in the name of the elder daughter.

(a) 15000 (b) 16000 (c) 18000 (d) 20000

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

29. A and B jointly started a business at the beginning of the year with investments of ₹18,000 and ₹21,000, respectively. After 6 months, A invested an additional ₹3,000 in the business. If their total profit at the end of the year is ₹7,200, what is the ratio of A and B's individual profit shares?

(a) 13 : 12 (b) 14 : 13 (c) 13 : 14 (d) 14 : 11

30. The median of the data set {3, 14, 18, 20, 5} is 18.