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. 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. 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.
4. 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
5. 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
6. 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.
(a) 15 (b) 16 (c) 17 (d) 19
7. 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
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 16, 15, 17, 16, 15, x, 19, 17, 14 have a mode of 15, then the value of x is-
11. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
12. 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.
13. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
14. In a game, scores of 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 were obtained; the average score was 10.
15. The mode of the data 4, 6, 4, 5, 4, 7, 8, 5, 9, 5, 7 is 4.
16. 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
17. 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
18. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16 is:
(a) 15 (b) 10 (c) 11.5 (d) 11
19. 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
20. 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
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. The average deviation from the combined mean of the data series 46, 79, 26, 85, 39, 65, 99, 29, 56, 72 will be —
(a) 20.4 (b) 21.4 (c) 19.4 (d) 21
23. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16.
24. 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
25. Find the median of 8, 15, 10, 11, 7, 9, 11, 13, and 16.
26. Today, in our neighborhood cricket match, our scores were: 7, 9, 10, 11, 11, 8, 7, 7, 10, 6, 9, 7, 9, 9, 6, 6, 8, 8, 9, 8, 7, 8 Let’s calculate the **median** of our cricket scores.
27. 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)
28. If the average of the numbers 6, 7, x, 8, y, 14 is 9,
29. What's the median of 8, 15, 10, 11, 7, 9, 11, 13, 16?
(a) 15 (b) 11 (c) 10 (d) 11.5
30. 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
