1. 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

2. The median of the data set 3, 7, 2, 3, 5, 7 will be –

(a) 3 (b) 1.5 (c) 4 (d) 4.5

3. The median of the data set 10, 12, 14, 18, 15, 200, 100, 20, 22, 24 will be —

(a) 19 (b) 21 (c) 23 (d) 50

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

5. The median of the data set 2, 3, 4, 5 is _____.

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

7. 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

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

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

10. If the data set \(6, 8, 10, 12, 13, x\) arranged in ascending order has equal mean and median, find the value of \(x\).

11. The given table shows: ```html

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

13. The median of a set of data values will always be one of the values from that data set.

14. 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

15. 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

16. If the data arranged in ascending order, 8, 9, 12, 17, x+2, x+4, 30, 31, 34, 39 has a median of 24, then the value of x -

(a) 22 (b) 21 (c) 20 (d) 24

17. If the data set 30, 34, 35, 36, 37, 38, 39, 40 excludes 35, the median increases

(a) 2 (b) 1.5 (c) 1 (d) 0.5

18. 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

19. 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

20. The maximum value of a data set is 520. What should be the minimum value for the range of the data to be 100?

(a) 120 (b) 320 (c) 420 (d) 500

21. 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

22. In the dataset 12, 18, 24, 31, 32, 38, 43, 48 — if the number 31 were not present, how much would the median decrease or increase?

(a) 1.5 decrease (b) 1.5 increase (c) 0.5 decrease (d) 0.5 increase

23. If for a set of data, \[ \sum_{i=1}^n (x_i - 7) = -8 \quad \text{and} \quad \sum_{i=1}^n (x_i + 3) = 72, \] then find the values of \(\bar{x}\) (the mean) and \(n\) (the number of data points).

24. If the median of the following data is 32 and the total frequency is 100, find the values of \(x\) and \(y\): | Class Interval | 0–10 | 10–20 | 20–30 | |----------------|------|--------|--------| | Frequency | 10 | \(x\) | 25 | | Class Interval | 30–40 | 40–50 | 50–60 | |----------------|--------|--------|--------| | Frequency | 30 | \(y\) | 10 |

25. The median of the data 2, 3, 9, 10, 9, 3, 9 is 10.

26. The mode of a data set can have more than one value.

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

28. If the median of the following data is 28.5 and the total frequency is 60, determine the values of x and y.

29. If 12 is removed from the dataset 10, 14, 12, 16, 8, 9, 24, 20, then the median will increase by _____.

30. If the ascending order of data is 8, 9, 12, 17, \(x+2\), \(x+6\), 30, 31, 34, 39 and its median is 24, determine the value of \(x\).

(a) 22 (b) 21 (c) 20 (d) 24