1. 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)
2. The mode of the data 4, 6, 4, 5, 4, 7, 8, 5, 9, 5, 7 is 4.
3. 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
4. In a game, scores of 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 were obtained; the average score was 10.
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. "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.
7. 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?
8. 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
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. The daily amounts of money received by our 16 friends for school commuting and other expenses are: 15, 16, 17, 18, 17, 19, 17, 15, 15, 10, 17, 16, 15, 16, 18, 11 Let us determine the **mode** of the amounts received daily by our friends.
11. The median of the data set 6,10,5,4,9,11,20,186,10,5,4,9,11,20,18
(a) 9 (b) 10 (c) 9.25 (d) 9.5
12. 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
13. If 16, 15, 17, 16, 15, x, 19, 17, 14 have a mode of 15, then the value of x is-
(a) 15 (b) 16 (c) 17 (d) 19
14. If the data set 30, 34, 35, 36, 37, 38, 39, 40 excludes 35, the median increases
15. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
16. If the mode of the data 16, 15, 16, 16, 15, x, 19, 17, 14 is 16, then the value of x must be 16.
17. 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?
18. A, B, and C started a business with initial capitals of 6,000 rupees, 8,000 rupees, and 9,000 rupees, respectively. A invested an additional 3,000 rupees after a few months. At the end of the year, the total profit was 3,000 rupees, and C received a share of 1,080 rupees from the profit. Determine how many months later A made the additional investment of 3,000 rupees.
19. 3, 5, 3, 4, 3, 6, 3, 7, 4, 8, 4. The frequency of 6 is 1 and the mode is 3.
20. A, B, and C started a business by investing ₹6,500, ₹5,200, and ₹9,100 respectively. After exactly one year, they made a profit of ₹14,400. If \(\cfrac{2}{3}\) of the profit is divided equally among them and the remaining part is shared in the ratio of their investments, find out how much profit each person will receive.
21. The ages (in years) of some animals are: 6, 10, 5, 4, 9, 11, 20, 18. Let’s find the median of their ages.
22. 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)
23. If 35 is removed from the data set 30, 34, 35, 36, 37, 38, 39, 40, the median increases.
24. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
25. In the data set 30, 34, 35, 36, 37, 38, 39, 40 — if 35 is removed, the median increases.
(a) 2 (b) 1:5 (c) 1 (d) 0.5
26. 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.
27. 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
28. If the average of the numbers 6, 7, \(x\), 8, \(y\), 14 is 9, then –
(a) x+y=21 (b) x+y=29 (c) x-y=21 (d) x+y=19
29. If 29 is removed from the dataset 20, 22, 25, 26, 27, 28, 29, 30, the median will decrease by –
30. 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
