Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 563 · 40 questions

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

1. 1.What is the mean of 20, 9, 18 and 21? (a) 17 (b) 19 (c) 16 (d) 18
2. 2.What is the mean of 20, 12, 6 and 22? (a) 12 (b) 15 (c) 16 (d) 20
3. 3.What is the median of 8, 5, 25, 34, 33, 1 and 12? (a) 25 (b) 12 (c) 8 (d) 34
4. 4.What is the median of 8, 16, 10, 12 and 35? (a) 13 (b) 12 (c) 10 (d) 16
5. 5.What is the mean of 7, 12, 13, 12 and 16? (a) 10 (b) 12 (c) 15 (d) 13
6. 6.What is the median of 3, 40, 31, 15 and 24? (a) 15 (b) 31 (c) 25 (d) 24
7. 7.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 17 (b) 25 (c) 27 (d) 26
8. 8.What is the mean of 6, 13, 16 and 5? (a) 9 (b) 8 (c) 10 (d) 11
9. 9.What is the mean of 8, 7, 13, 13 and 4? (a) 9 (b) 10 (c) 8 (d) 11
10. 10.What is the median of 4, 18, 10, 14, 11, 26 and 34? (a) 18 (b) 14 (c) 15 (d) 11
11. 11.What is the median of 23, 39, 29, 37 and 18? (a) 30 (b) 37 (c) 23 (d) 29
12. 12.What is the mean of 2, 6, 10, 13 and 19? (a) 12 (b) 9 (c) 10 (d) 11
13. 13.What is the mean of 17, 10, 6, 15 and 22? (a) 15 (b) 13 (c) 16 (d) 14
14. 14.What is the mean of 10, 3, 6 and 17? (a) 12 (b) 8 (c) 10 (d) 9
15. 15.What is the mean of 2, 20, 3 and 15? (a) 11 (b) 9 (c) 10 (d) 8
16. 16.What is the mean of 8, 4, 20 and 8? (a) 11 (b) 8 (c) 10 (d) 9
17. 17.What is the median of 9, 7, 3, 5, 25, 19 and 4? (a) 5 (b) 8 (c) 7 (d) 9
18. 18.What is the mean of 11, 7, 16, 13 and 18? (a) 15 (b) 14 (c) 13 (d) 12
19. 19.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 13 (b) 11 (c) 10 (d) 12
20. 20.The mean of 5 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 22 (b) 27 (c) 21 (d) 18
21. 21.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 25
22. 22.What is the median of 15, 37, 12, 2 and 33? (a) 33 (b) 16 (c) 15 (d) 12
23. 23.What is the median of 1, 3, 30, 7, 38, 20 and 16? (a) 17 (b) 7 (c) 20 (d) 16
24. 24.What is the median of 16, 17, 28, 36, 6, 32 and 2? (a) 36 (b) 28 (c) 16 (d) 17
25. 25.What is the mean of 10, 20, 10, 11 and 19? (a) 13 (b) 14 (c) 16 (d) 15
26. 26.What is the median of 11, 25, 33, 28 and 26? (a) 28 (b) 25 (c) 26 (d) 33
27. 27.What is the mode of 10, 7, 13, 7, 16, 7 and 10? (a) 16 (b) 13 (c) 7 (d) 10
28. 28.What is the mode of 9, 18, 3, 18, 18, 3 and 7? (a) 18 (b) 7 (c) 3 (d) 9
29. 29.What is the median of 12, 34, 6, 38, 27, 3 and 8? (a) 8 (b) 27 (c) 12 (d) 38
30. 30.What is the median of 16, 40, 11, 34, 28, 31 and 20? (a) 31 (b) 20 (c) 34 (d) 28
31. 31.What is the mean of 19, 4, 9 and 16? (a) 13 (b) 16 (c) 12 (d) 11
32. 32.What is the mean of 17, 19, 5, 13 and 6? (a) 13 (b) 15 (c) 10 (d) 12
33. 33.What is the median of 26, 2, 35, 40, 24, 23 and 30? (a) 26 (b) 40 (c) 24 (d) 30
34. 34.What is the median of 33, 15, 23, 40, 5, 22 and 36? (a) 23 (b) 40 (c) 22 (d) 33
35. 35.What is the mode of 19, 3, 9, 1, 1, 19 and 19? (a) 3 (b) 9 (c) 1 (d) 19
36. 36.What is the median of 34, 16, 8, 40, 9, 23 and 39? (a) 23 (b) 16 (c) 34 (d) 40
37. 37.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 34
38. 38.What is the mean of 10, 17, 16, 20 and 17? (a) 17 (b) 16 (c) 20 (d) 15
39. 39.What is the mean of 19, 17, 7, 8, 3 and 24? (a) 15 (b) 14 (c) 12 (d) 13
40. 40.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19

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