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

(a) 15 (b) 16 (c) 17 (d) 19

2. 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.

3. 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

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. If the mode of the data set 16, 15, 17, 16, 15, x, 19 is 15, then the value of \(x\) is _____

6. 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)

7. 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.

8. 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

9. 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

10. If the combined average of 5, 15, 22, x, y, 25, and z is 14, then which of the following is correct?

(a) x+y+z=42 (b) x+y+z=31 (c) x+y=z (d) x+y=2z

11. If the combined mean of the following data is 15, then calculate the value of \(p\):

12. 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

13. The median of 10, 14, 8, 16, 20, 15, 9 is

(a) 20 (b) 16 (c) 15 (d) 14

14. 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

15. 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

16. 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 _____.

17. Translate: If the data 9, 10, 12, 15, (x + 1), (x + 3), 32, 35, 36, 40 are arranged in ascending order, the median is 20. Find the value of x.

(a) 16 (b) 17 (c) 18 (d) 20

18. If the combined (weighted) mean of the following data is 15, find the value of \(k\):

19. 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 \(x + y\)?

20. Given:

21. 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