Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 286 · 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 mode of 18, 6, 14, 6, 6, 11 and 18? (a) 6 (b) 18 (c) 14 (d) 11
2. 2.What is the mean of 5, 11, 19, 11, 5 and 3? (a) 10 (b) 11 (c) 8 (d) 9
3. 3.What is the median of 11, 13, 6, 29, 15, 33 and 27? (a) 13 (b) 27 (c) 15 (d) 29
4. 4.What is the mode of 3, 19, 3, 16, 16, 16 and 15? (a) 16 (b) 3 (c) 15 (d) 19
5. 5.What is the median of 11, 38, 18, 12, 10, 21 and 4? (a) 13 (b) 12 (c) 18 (d) 11
6. 6.What is the mode of 14, 14, 13, 13, 13, 4 and 5? (a) 14 (b) 5 (c) 13 (d) 4
7. 7.What is the median of 27, 12, 32, 8, 21, 33 and 11? (a) 8 (b) 21 (c) 12 (d) 27
8. 8.What is the median of 27, 7, 23, 40, 13, 21 and 22? (a) 40 (b) 22 (c) 23 (d) 21
9. 9.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 33
10. 10.What is the mode of 1, 1, 4, 18, 18, 5 and 18? (a) 4 (b) 5 (c) 1 (d) 18
11. 11.What is the median of 26, 17, 36, 28 and 38? (a) 29 (b) 28 (c) 36 (d) 26
12. 12.What is the mode of 19, 2, 19, 6, 2, 13 and 2? (a) 19 (b) 2 (c) 6 (d) 13
13. 13.What is the mode of 14, 14, 20, 2, 2, 14 and 7? (a) 7 (b) 20 (c) 2 (d) 14
14. 14.What is the median of 35, 18, 7, 16 and 23? (a) 18 (b) 16 (c) 23 (d) 7
15. 15.What is the mean of 5, 3, 12 and 8? (a) 6 (b) 7 (c) 8 (d) 9
16. 16.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 25 (b) 32 (c) 27 (d) 28
17. 17.What is the mean of 8, 10, 16 and 18? (a) 14 (b) 13 (c) 12 (d) 15
18. 18.The mean of 4 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 40 (b) 43 (c) 41 (d) 38
19. 19.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 32
20. 20.What is the mean of 2, 20, 20, 12, 14 and 4? (a) 11 (b) 14 (c) 13 (d) 12
21. 21.What is the mode of 11, 11, 16, 16, 5, 6 and 11? (a) 5 (b) 6 (c) 16 (d) 11
22. 22.What is the mode of 16, 1, 18, 16, 16, 4 and 18? (a) 18 (b) 4 (c) 16 (d) 1
23. 23.What is the median of 16, 31, 19, 23 and 7? (a) 23 (b) 20 (c) 19 (d) 16
24. 24.What is the mean of 15, 18, 2, 15, 13 and 15? (a) 14 (b) 12 (c) 15 (d) 13
25. 25.What is the mean of 8, 19, 7 and 14? (a) 12 (b) 11 (c) 16 (d) 13
26. 26.What is the median of 16, 6, 30, 32 and 28? (a) 29 (b) 30 (c) 28 (d) 16
27. 27.What is the mean of 2, 2, 10 and 18? (a) 10 (b) 9 (c) 8 (d) 7
28. 28.What is the mean of 8, 20, 12, 20 and 10? (a) 13 (b) 14 (c) 16 (d) 15
29. 29.What is the mean of 18, 8, 19, 7 and 13? (a) 14 (b) 15 (c) 12 (d) 13
30. 30.What is the mean of 8, 13, 3, 11, 14 and 11? (a) 12 (b) 11 (c) 10 (d) 9
31. 31.What is the mean of 5, 19, 2 and 14? (a) 8 (b) 10 (c) 11 (d) 9
32. 32.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 22 (b) 32 (c) 33 (d) 36
33. 33.What is the median of 24, 33, 37, 36 and 35? (a) 35 (b) 37 (c) 36 (d) 33
34. 34.The mean of 8 numbers is 28. When the number 64 is added to them, what is the new mean? (a) 32 (b) 33 (c) 28 (d) 46
35. 35.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 29 (b) 28 (c) 25 (d) 30
36. 36.What is the mean of 19, 13, 20 and 8? (a) 16 (b) 15 (c) 20 (d) 12
37. 37.What is the mean of 7, 10, 18, 6 and 19? (a) 12 (b) 15 (c) 10 (d) 13
38. 38.What is the mode of 1, 4, 1, 19, 1, 17 and 17? (a) 19 (b) 4 (c) 1 (d) 17
39. 39.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 22 (b) 24 (c) 18 (d) 23
40. 40.What is the median of 33, 36, 14, 1 and 24? (a) 33 (b) 24 (c) 25 (d) 14

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