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

2. 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)

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

4. 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)

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

6. 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

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 3, 9, 7, 4, 8, and 6?

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

9. 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?

10. 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.

11. Find the mode of the given data: 9, 6, 9, 3, 4, 9, 8, 6, 5, 9, 6, 4.

(a) 4 (b) 6 (c) 8 (d) 9

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

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

13. 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

14. 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

15. 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?

16. Nivedita and Uma started a business by investing ₹3,000 and ₹5,000 respectively. After 6 months, Nivedita added ₹4,000 more to her investment, while Uma withdrew ₹1,000. At the end of one year, the total profit was ₹6,175. Calculate the profit share of both.

17. 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

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

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

20. The mode of the data 4, 6, 4, 5, 4, 7, 8, 5, 9, 5, 7 is 4.

21. The median of 3, 14, 18, 20, 5 is 14.

(a) 3 (b) 18 (c) 20 (d) 14

22. 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

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

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

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

25. A and B started a business by investing ₹15,000 and ₹45,000 respectively. After 6 months, B received ₹3,030 as profit. What is A’s share of the profit?

26. A, B, and C together start a business and make a profit of ₹36,400. The ratio of capital between A and B is 5:3, and the ratio between B and C is 5:4. What will be A’s share of the profit?

27. A person borrows some money under the condition that at the end of the first year, they repay 3,150 INR, and at the end of the second year, they repay 4,410 INR. If the compound interest rate is 5%, how much money did they borrow?

28. At an annual interest rate of \( 8\frac{3}{4}\% \), calculate the interest on ₹12,500 for the period from April 14, 1953, to June 26, 1953.

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

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