1. 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
2. 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
3. If the average of the numbers 6, 7, x, 8, y, 14 is 9,
4. 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
5. 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
6. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
7. 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.
8. If the mode of the data set 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then the value of x is—
9. In a game, scores of 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 were obtained; the average score was 10.
10. If the combined average of the data set 7, 5, 2, 10, x, 6, 4, y, 8, 1 is 5, then what is the value of \(x + y\)?
11. 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.
12. 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
13. 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
14. If 29 is removed from the dataset 20, 22, 25, 26, 27, 28, 29, 30, the median will decrease by –
15. 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
16. If the average of the first four numbers out of five is 26, and the average of the last four numbers is 25, then find the difference between the first and the last number.
17. The ages (in years) of some students are: 10, 11, 9, 7, 13, 8, 14; the median of their ages is _____ years.
18. If the average of the numbers \(7, x - 3, x + 3, 10, x - 5\) is \(15\), then their median will be \(10\).
19. If the combined average of the numbers 7, \(x - 3\), 10, \(x + 3\), and \(x - 5\) is 15, then the median is _____.
(a) 16 (b) 10 (c) 18 (d) 24
20. If 12 is removed from the dataset 10, 14, 12, 16, 8, 9, 24, 20, then the median will increase by _____.
21. If the ages of several students are 10, 11, 9, 7, 13, 8, and 14 years, then their median _____.
22. 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)
23. 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
24. 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 _____.
25. The mode of the data 4, 6, 4, 5, 4, 7, 8, 5, 9, 5, 7 is 4.
26. If the number 15 is replaced by ----------, the combined average of the numbers 9, 12, 15, 18, 20, 22 will increase by 1.
27. 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
