Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 76 · 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 12, 3, 17 and 8? (a) 11 (b) 10 (c) 8 (d) 9
2. 2.What is the median of 40, 2, 32, 22 and 36? (a) 33 (b) 36 (c) 22 (d) 32
3. 3.What is the mean of 13, 14, 5, 15 and 8? (a) 13 (b) 10 (c) 11 (d) 12
4. 4.What is the median of 33, 18, 25, 30 and 9? (a) 30 (b) 18 (c) 25 (d) 23
5. 5.What is the mean of 3, 20, 5 and 8? (a) 12 (b) 8 (c) 10 (d) 9
6. 6.What is the median of 1, 8, 24, 15, 11, 29 and 30? (a) 11 (b) 15 (c) 16 (d) 24
7. 7.What is the median of 19, 28, 36, 1 and 40? (a) 29 (b) 36 (c) 19 (d) 28
8. 8.What is the mean of 11, 3, 6 and 8? (a) 7 (b) 6 (c) 9 (d) 8
9. 9.The mean of 6 numbers is 21. When the number 28 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 24
10. 10.What is the mode of 4, 8, 4, 16, 8, 19 and 8? (a) 4 (b) 19 (c) 16 (d) 8
11. 11.What is the median of 26, 16, 12, 2, 14, 31 and 11? (a) 16 (b) 12 (c) 14 (d) 2
12. 12.What is the median of 18, 29, 30, 10 and 5? (a) 30 (b) 29 (c) 10 (d) 18
13. 13.What is the median of 10, 2, 20, 21, 11, 29 and 13? (a) 20 (b) 11 (c) 21 (d) 13
14. 14.The mean of 8 numbers is 40. When the number 76 is added to them, what is the new mean? (a) 45 (b) 40 (c) 44 (d) 58
15. 15.What is the mean of 3, 13, 2, 19 and 13? (a) 11 (b) 9 (c) 10 (d) 12
16. 16.What is the mode of 10, 15, 18, 20, 20, 15 and 15? (a) 10 (b) 20 (c) 18 (d) 15
17. 17.What is the mode of 13, 16, 19, 16, 19, 12 and 19? (a) 12 (b) 19 (c) 16 (d) 13
18. 18.What is the median of 32, 17, 19, 30 and 27? (a) 19 (b) 27 (c) 25 (d) 30
19. 19.What is the median of 7, 6, 32, 5, 12, 21 and 33? (a) 5 (b) 21 (c) 7 (d) 12
20. 20.What is the mean of 8, 10, 17, 10 and 15? (a) 13 (b) 10 (c) 15 (d) 12
21. 21.What is the mode of 16, 7, 10, 10, 16, 16 and 5? (a) 10 (b) 5 (c) 16 (d) 7
22. 22.What is the median of 21, 19, 32, 8 and 3? (a) 8 (b) 19 (c) 32 (d) 21
23. 23.The mean of 8 numbers is 22. When the number 49 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 26
24. 24.What is the mode of 16, 8, 3, 3, 2, 3 and 2? (a) 8 (b) 2 (c) 16 (d) 3
25. 25.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 14 (b) 17 (c) 19 (d) 18
26. 26.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 26
27. 27.What is the median of 22, 38, 3, 4, 26, 11 and 16? (a) 11 (b) 22 (c) 4 (d) 16
28. 28.What is the mean of 11, 13, 3 and 17? (a) 10 (b) 11 (c) 13 (d) 12
29. 29.What is the median of 29, 27, 39, 34 and 24? (a) 34 (b) 27 (c) 29 (d) 39
30. 30.What is the mode of 10, 11, 11, 10, 17, 13 and 10? (a) 17 (b) 13 (c) 10 (d) 11
31. 31.What is the mode of 4, 11, 11, 4, 5, 17 and 11? (a) 5 (b) 17 (c) 11 (d) 4
32. 32.What is the median of 39, 38, 2, 34 and 7? (a) 34 (b) 38 (c) 2 (d) 24
33. 33.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 18
34. 34.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 36 (b) 35 (c) 33 (d) 34
35. 35.What is the mode of 12, 1, 7, 12, 12, 1 and 5? (a) 7 (b) 1 (c) 12 (d) 5
36. 36.What is the mean of 6, 5, 2, 4, 3 and 16? (a) 7 (b) 5 (c) 6 (d) 8
37. 37.What is the median of 27, 6, 37, 40 and 8? (a) 8 (b) 28 (c) 37 (d) 27
38. 38.What is the median of 35, 18, 2, 7, 5, 17 and 11? (a) 17 (b) 11 (c) 7 (d) 12
39. 39.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 25
40. 40.What is the mean of 13, 6, 8, 9, 20 and 10? (a) 10 (b) 12 (c) 13 (d) 11

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