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. 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

3. What will be the mode of the data: 2, 3, 4, 6, 7, 3, 3, 2, 5, 6, 7?

(a) 7 (b) 6 (c) 4 (d) 3

4. 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

5. The mode of the data set 4, 6, 5, 4, 7, 2, 3, 4, 5 is 4.

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

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

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

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

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

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

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

10. 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

11. Here is the ogive (greater than cumulative frequency curve) based on your data: - **Class Intervals:** 0–10, 10–20, 20–30, 30–40, 40–50, 50–60 - **Frequencies:** 7, 10, 23, 50, 6, 4 - **Cumulative Frequencies (Greater Than):** Calculated from the lower bounds of each class The ogive has been successfully generated and saved.

12. If the average of the numbers \(7, x - 3, x + 3, 10, x - 5\) is \(15\), then their median will be \(10\).

13. If A : B = 2 : 3, B : C = 4 : 5, and C : D = 6 : 7, then what will be the value of D : A?

(a) 16 : 35 (b) 35 : 16 (c) 2 : 3 (d) 4 : 5

14. The daily earnings (in rupees) of Mr. Madhu's shop over the past week were: 107, 210, 92, 52, 113, 75, 195. Let’s find the median of the earnings.

15. 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)

16. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x will be 15.

17. 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

18. 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

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

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

20. 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

21. Asit and Dipak invested ₹22,500 and ₹35,000 respectively in a joint business. If the total profit is ₹13,800, then Dipak's share of the profit will be —

(a) ₹ 8400 (b) ₹ 8600 (c) ₹ 8200 (d) ₹ 8000

22. 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

23. "What will be the mode of the data: 7, 9, 11, 7, 6, 5, 9, 13?

(a) 7 (b) 9 (c) 7 and 9 (d) There is no mode.

24. 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?

25. If the sum of the roots of a quadratic equation is 7 and their difference is 3, then the equation will be –

(a) \(x^2–7x+3=0\) (b) \(x^2–7x-3=0\) (c) \(x^2–7x+10=0\) (d) \(x^2-7x+7=0\)

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

27. The median of the data set 2, 3, 4, 5 is _____.

28. 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

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

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

30. The population of a place was 13,310. At what rate of growth will it become 17,280 in 3 years?