1. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 10.
2. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 10.
3. The mode of the data set 2, 8, 9, 10, 9, 3, 9 is 10.
4. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 10.
5. 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
6. In the data set 2, 3, 9, 10, 9, 3, 9, the mode is 10.
7. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 9.
8. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 9.
9. The mode of the data set 2, 3, 9, 10, 9, 3, 9 is 9.
10. The mode of the data set 2, 3, 9, 10, 9, 3, 10, 9 is --------.
11. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16 is:
(a) 15 (b) 10 (c) 11.5 (d) 11
12. 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
13. What is the median of the numbers 2, 8, 2, 3, 8, 5, 9, 5, 6?
(a) 8 (b) 6.5 (c) 5.5 (d) 5
14. 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?
15. The ages (in years) of some students are: 10, 11, 9, 7, 13, 8, 14; the median of their ages is _____ years.
16. 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
17. In a game, scores of 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15 were obtained; the average score was 10.
18. Some students are aged (in years): 10, 11, 9, 13, 8, 14; The median of their ages is —— years.
19. The mode of 2, 3, 9, 10, 9, 3, 9 is 9.
20. 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
21. What is the median of 3, 9, 7, 4, 8, and 6?
(a) 5 (b) 5.5 (c) 6 (d) 6.5
22. 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?
23. The median of 8, 15, 10, 11, 7, 9, 11, 13, 16.
24. If 12 is removed from the dataset 10, 14, 12, 16, 8, 9, 24, 20, then the median will increase by _____.
25. 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
26. 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.
27. If the ages of several students are 10, 11, 9, 7, 13, 8, and 14 years, then their median _____.
28. Find the median of 8, 15, 10, 11, 7, 9, 11, 13, and 16.
29. The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13, 16 will be —
(a) 15 (b) 10 (c) 7 (d) 11
30. What will be the median of the numbers 8, 15, 10, 11, 7, 9, 11, 13, and 16?