Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 618 · 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 2, 2, 5, 20, 4, 2 and 4? (a) 4 (b) 5 (c) 20 (d) 2
2. 2.What is the median of 19, 1, 18, 8 and 7? (a) 18 (b) 8 (c) 7 (d) 9
3. 3.What is the mean of 12, 8, 5, 3 and 17? (a) 10 (b) 11 (c) 8 (d) 9
4. 4.What is the mode of 12, 12, 10, 7, 10, 10 and 1? (a) 7 (b) 1 (c) 12 (d) 10
5. 5.What is the mode of 5, 8, 16, 8, 5, 5 and 2? (a) 16 (b) 5 (c) 8 (d) 2
6. 6.What is the mode of 19, 20, 17, 6, 20, 6 and 20? (a) 17 (b) 19 (c) 6 (d) 20
7. 7.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 8 (b) 11 (c) 10 (d) 9
8. 8.What is the mean of 8, 15, 8, 18, 3 and 2? (a) 10 (b) 8 (c) 11 (d) 9
9. 9.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 10
10. 10.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
11. 11.What is the mean of 7, 13, 17 and 11? (a) 13 (b) 16 (c) 11 (d) 12
12. 12.What is the mode of 13, 17, 13, 17, 17, 1 and 10? (a) 13 (b) 10 (c) 17 (d) 1
13. 13.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 30 (b) 27 (c) 28 (d) 26
14. 14.What is the mode of 8, 3, 3, 9, 3, 13 and 8? (a) 13 (b) 9 (c) 3 (d) 8
15. 15.What is the median of 1, 23, 7, 32, 36, 10 and 21? (a) 21 (b) 10 (c) 32 (d) 23
16. 16.What is the median of 20, 23, 36, 3 and 27? (a) 36 (b) 23 (c) 20 (d) 27
17. 17.What is the mean of 10, 10, 16, 14, 14 and 14? (a) 13 (b) 14 (c) 15 (d) 12
18. 18.What is the mode of 14, 16, 2, 16, 3, 3 and 16? (a) 2 (b) 14 (c) 16 (d) 3
19. 19.What is the median of 3, 7, 31, 11, 29, 10 and 9? (a) 9 (b) 11 (c) 12 (d) 10
20. 20.What is the median of 13, 16, 9, 5, 33, 24 and 4? (a) 16 (b) 5 (c) 9 (d) 13
21. 21.What is the mean of 3, 4, 5, 2 and 16? (a) 5 (b) 8 (c) 7 (d) 6
22. 22.What is the median of 29, 18, 21, 7 and 28? (a) 28 (b) 22 (c) 18 (d) 21
23. 23.What is the mode of 6, 18, 5, 6, 16, 16 and 16? (a) 5 (b) 6 (c) 18 (d) 16
24. 24.What is the mean of 5, 17, 7 and 7? (a) 8 (b) 12 (c) 9 (d) 10
25. 25.What is the mode of 11, 2, 18, 4, 2, 18 and 2? (a) 18 (b) 2 (c) 11 (d) 4
26. 26.The mean of 8 numbers is 25. When the number 61 is added to them, what is the new mean? (a) 25 (b) 30 (c) 29 (d) 43
27. 27.What is the mode of 20, 19, 3, 3, 3, 20 and 1? (a) 1 (b) 19 (c) 3 (d) 20
28. 28.What is the mode of 2, 2, 3, 11, 2, 6 and 11? (a) 6 (b) 11 (c) 3 (d) 2
29. 29.What is the median of 20, 29, 14, 11 and 38? (a) 14 (b) 29 (c) 21 (d) 20
30. 30.What is the mean of 9, 3, 20, 7, 15 and 6? (a) 10 (b) 11 (c) 9 (d) 12
31. 31.What is the mean of 7, 7, 20, 9, 10 and 13? (a) 12 (b) 10 (c) 13 (d) 11
32. 32.What is the mean of 8, 8, 20, 11 and 8? (a) 13 (b) 10 (c) 12 (d) 11
33. 33.What is the mode of 18, 2, 12, 5, 5, 18 and 18? (a) 18 (b) 12 (c) 5 (d) 2
34. 34.What is the mode of 3, 16, 12, 16, 5, 5 and 16? (a) 5 (b) 12 (c) 16 (d) 3
35. 35.What is the mode of 4, 6, 4, 4, 10, 17 and 6? (a) 10 (b) 17 (c) 6 (d) 4
36. 36.What is the median of 33, 29, 25, 11 and 39? (a) 30 (b) 25 (c) 33 (d) 29
37. 37.What is the median of 39, 11, 13, 33 and 28? (a) 13 (b) 33 (c) 28 (d) 29
38. 38.What is the mode of 18, 15, 14, 15, 15, 18 and 11? (a) 15 (b) 18 (c) 14 (d) 11
39. 39.What is the median of 39, 27, 10, 36, 38, 4 and 40? (a) 36 (b) 37 (c) 27 (d) 38
40. 40.What is the mode of 19, 15, 12, 19, 8, 19 and 12? (a) 12 (b) 8 (c) 19 (d) 15

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