Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 423 · 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 median of 17, 20, 28, 30 and 9? (a) 17 (b) 21 (c) 28 (d) 20
2. 2.What is the mode of 10, 1, 10, 7, 14, 1 and 1? (a) 14 (b) 1 (c) 10 (d) 7
3. 3.What is the mean of 20, 18, 3, 3 and 6? (a) 11 (b) 12 (c) 10 (d) 9
4. 4.What is the mean of 17, 17, 11, 10, 19 and 22? (a) 18 (b) 17 (c) 16 (d) 15
5. 5.What is the mean of 12, 2, 14, 3 and 14? (a) 10 (b) 11 (c) 8 (d) 9
6. 6.What is the mode of 5, 5, 6, 18, 18, 10 and 18? (a) 5 (b) 6 (c) 18 (d) 10
7. 7.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
8. 8.What is the median of 29, 35, 24, 3 and 34? (a) 25 (b) 34 (c) 29 (d) 24
9. 9.What is the mode of 2, 8, 19, 19, 17, 8 and 19? (a) 8 (b) 2 (c) 19 (d) 17
10. 10.What is the mean of 10, 10, 2, 20 and 8? (a) 10 (b) 9 (c) 12 (d) 11
11. 11.What is the median of 18, 13, 38, 28 and 4? (a) 18 (b) 38 (c) 28 (d) 13
12. 12.What is the mean of 7, 11, 3, 7, 4 and 10? (a) 7 (b) 9 (c) 8 (d) 6
13. 13.What is the mean of 17, 18, 12 and 5? (a) 15 (b) 13 (c) 12 (d) 14
14. 14.What is the median of 20, 25, 1, 17 and 12? (a) 15 (b) 1 (c) 17 (d) 20
15. 15.What is the median of 37, 33, 6, 16, 30, 18 and 35? (a) 25 (b) 16 (c) 33 (d) 30
16. 16.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 29
17. 17.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 34 (b) 39 (c) 38 (d) 40
18. 18.What is the mean of 16, 10, 6, 18 and 5? (a) 11 (b) 13 (c) 12 (d) 10
19. 19.What is the mode of 13, 2, 2, 13, 10, 14 and 13? (a) 14 (b) 10 (c) 13 (d) 2
20. 20.What is the median of 39, 19, 3, 13 and 20? (a) 13 (b) 19 (c) 3 (d) 20
21. 21.What is the mode of 20, 1, 20, 7, 1, 20 and 12? (a) 20 (b) 1 (c) 12 (d) 7
22. 22.What is the mode of 20, 18, 15, 20, 8, 20 and 8? (a) 15 (b) 8 (c) 18 (d) 20
23. 23.What is the median of 27, 2, 22, 20 and 9? (a) 16 (b) 22 (c) 20 (d) 9
24. 24.What is the median of 15, 26, 2, 8 and 16? (a) 2 (b) 8 (c) 15 (d) 16
25. 25.What is the mode of 13, 3, 1, 7, 7, 7 and 3? (a) 13 (b) 7 (c) 1 (d) 3
26. 26.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 32 (b) 36 (c) 33 (d) 24
27. 27.What is the mode of 10, 20, 18, 10, 14, 10 and 14? (a) 14 (b) 18 (c) 20 (d) 10
28. 28.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 31 (b) 35 (c) 29 (d) 32
29. 29.What is the mode of 13, 7, 20, 1, 1, 20 and 1? (a) 13 (b) 7 (c) 1 (d) 20
30. 30.What is the mean of 14, 7, 18, 9 and 12? (a) 12 (b) 13 (c) 10 (d) 15
31. 31.What is the mean of 7, 8, 13, 12 and 10? (a) 10 (b) 12 (c) 11 (d) 9
32. 32.What is the mode of 10, 10, 10, 13, 15, 3 and 15? (a) 10 (b) 15 (c) 13 (d) 3
33. 33.What is the mode of 4, 4, 19, 1, 1, 13 and 4? (a) 19 (b) 1 (c) 13 (d) 4
34. 34.What is the mode of 12, 4, 12, 19, 5, 5 and 5? (a) 5 (b) 4 (c) 12 (d) 19
35. 35.What is the mean of 7, 8, 17, 12 and 6? (a) 10 (b) 12 (c) 11 (d) 9
36. 36.What is the mode of 17, 4, 17, 8, 3, 3 and 3? (a) 4 (b) 8 (c) 3 (d) 17
37. 37.What is the median of 32, 39, 10, 7 and 18? (a) 19 (b) 32 (c) 10 (d) 18
38. 38.What is the mode of 6, 15, 6, 3, 16, 6 and 3? (a) 15 (b) 16 (c) 3 (d) 6
39. 39.What is the mode of 3, 8, 17, 11, 11, 17 and 17? (a) 11 (b) 17 (c) 3 (d) 8
40. 40.What is the mean of 5, 6, 16 and 13? (a) 10 (b) 8 (c) 9 (d) 11

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