Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 657 · 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 14, 3, 12, 12 and 24? (a) 13 (b) 14 (c) 12 (d) 15
2. 2.What is the mode of 15, 15, 9, 20, 13, 9 and 9? (a) 9 (b) 13 (c) 15 (d) 20
3. 3.What is the mode of 11, 12, 6, 17, 6, 6 and 12? (a) 12 (b) 6 (c) 11 (d) 17
4. 4.What is the mode of 1, 1, 13, 1, 13, 6 and 16? (a) 13 (b) 6 (c) 1 (d) 16
5. 5.What is the mean of 10, 6, 13, 17 and 14? (a) 15 (b) 13 (c) 12 (d) 10
6. 6.What is the mean of 2, 3, 11 and 20? (a) 12 (b) 10 (c) 9 (d) 8
7. 7.What is the median of 33, 17, 30, 24 and 3? (a) 25 (b) 30 (c) 17 (d) 24
8. 8.What is the mean of 14, 18, 11 and 9? (a) 12 (b) 14 (c) 15 (d) 13
9. 9.What is the mean of 12, 16, 12 and 20? (a) 12 (b) 20 (c) 15 (d) 16
10. 10.What is the median of 6, 11, 32, 28, 24, 30 and 25? (a) 24 (b) 26 (c) 28 (d) 25
11. 11.What is the mean of 9, 6, 12, 3, 6 and 6? (a) 8 (b) 6 (c) 9 (d) 7
12. 12.The mean of 9 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 31 (b) 26 (c) 28 (d) 27
13. 13.What is the mean of 20, 2, 10, 6, 11 and 11? (a) 12 (b) 11 (c) 10 (d) 9
14. 14.What is the median of 2, 16, 7, 18, 39, 31 and 23? (a) 23 (b) 18 (c) 16 (d) 19
15. 15.What is the mode of 17, 15, 8, 12, 15, 12 and 12? (a) 17 (b) 12 (c) 8 (d) 15
16. 16.What is the mean of 10, 2, 6, 11, 6 and 25? (a) 12 (b) 9 (c) 10 (d) 11
17. 17.What is the mean of 5, 2, 12 and 13? (a) 10 (b) 8 (c) 7 (d) 9
18. 18.What is the median of 36, 35, 31, 11, 2, 16 and 4? (a) 11 (b) 16 (c) 17 (d) 31
19. 19.What is the mean of 2, 18, 12, 6, 14 and 14? (a) 12 (b) 13 (c) 11 (d) 10
20. 20.What is the median of 12, 33, 19, 38 and 40? (a) 19 (b) 34 (c) 38 (d) 33
21. 21.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 37
22. 22.What is the mean of 6, 6, 15 and 21? (a) 16 (b) 13 (c) 11 (d) 12
23. 23.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 24
24. 24.What is the median of 9, 30, 37, 34, 12, 31 and 38? (a) 32 (b) 30 (c) 31 (d) 34
25. 25.What is the median of 19, 11, 34, 38, 21, 27 and 36? (a) 27 (b) 21 (c) 38 (d) 34
26. 26.What is the mode of 10, 10, 13, 4, 13, 13 and 11? (a) 4 (b) 13 (c) 10 (d) 11
27. 27.What is the mean of 18, 9, 2 and 7? (a) 8 (b) 10 (c) 9 (d) 12
28. 28.What is the median of 35, 25, 40, 33 and 1? (a) 35 (b) 40 (c) 25 (d) 33
29. 29.What is the median of 12, 5, 15, 31, 36, 38 and 39? (a) 15 (b) 36 (c) 32 (d) 31
30. 30.What is the mode of 5, 6, 2, 2, 6, 12 and 6? (a) 12 (b) 2 (c) 6 (d) 5
31. 31.What is the median of 27, 8, 22, 3 and 34? (a) 27 (b) 22 (c) 8 (d) 23
32. 32.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 27 (b) 28 (c) 31 (d) 23
33. 33.What is the median of 31, 14, 23, 37, 33, 13 and 1? (a) 23 (b) 37 (c) 14 (d) 31
34. 34.What is the mode of 17, 11, 11, 5, 10, 10 and 10? (a) 10 (b) 11 (c) 17 (d) 5
35. 35.What is the median of 35, 8, 12, 6 and 2? (a) 6 (b) 8 (c) 12 (d) 9
36. 36.What is the median of 31, 2, 34, 33, 21, 4 and 5? (a) 33 (b) 5 (c) 31 (d) 21
37. 37.What is the median of 40, 37, 22, 11, 25, 4 and 9? (a) 22 (b) 25 (c) 11 (d) 23
38. 38.What is the median of 22, 38, 37, 17 and 18? (a) 23 (b) 22 (c) 18 (d) 37
39. 39.What is the median of 2, 7, 12, 3, 40, 24 and 10? (a) 12 (b) 10 (c) 14 (d) 3
40. 40.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 12 (b) 10 (c) 11 (d) 13

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