Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 364 · 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 10, 1, 7, 1, 7, 1 and 11? (a) 10 (b) 7 (c) 1 (d) 11
2. 2.What is the mode of 10, 7, 7, 2, 10, 10 and 1? (a) 7 (b) 1 (c) 10 (d) 2
3. 3.What is the mean of 20, 2, 4 and 14? (a) 8 (b) 11 (c) 9 (d) 10
4. 4.What is the mean of 4, 9, 15, 19, 11 and 20? (a) 15 (b) 14 (c) 13 (d) 12
5. 5.What is the mode of 15, 10, 1, 15, 15, 11 and 10? (a) 1 (b) 10 (c) 15 (d) 11
6. 6.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 31 (b) 28 (c) 29 (d) 30
7. 7.What is the mode of 18, 5, 18, 1, 5, 18 and 11? (a) 5 (b) 18 (c) 1 (d) 11
8. 8.What is the mean of 12, 14, 12, 20 and 7? (a) 14 (b) 12 (c) 15 (d) 13
9. 9.What is the mode of 17, 2, 17, 1, 17, 1 and 4? (a) 4 (b) 2 (c) 1 (d) 17
10. 10.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 33 (b) 30 (c) 31 (d) 32
11. 11.The mean of 9 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 15 (b) 23 (c) 13 (d) 16
12. 12.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 43 (b) 40 (c) 46 (d) 42
13. 13.What is the median of 8, 36, 9, 13 and 19? (a) 9 (b) 17 (c) 13 (d) 19
14. 14.What is the mode of 16, 20, 1, 16, 1, 7 and 16? (a) 20 (b) 16 (c) 7 (d) 1
15. 15.What is the mean of 20, 8, 6, 16 and 15? (a) 12 (b) 13 (c) 15 (d) 14
16. 16.What is the median of 28, 23, 5, 6 and 32? (a) 23 (b) 5 (c) 6 (d) 28
17. 17.What is the median of 24, 34, 19, 40, 17, 32 and 3? (a) 19 (b) 32 (c) 24 (d) 40
18. 18.What is the mean of 5, 7, 14, 4, 18 and 18? (a) 11 (b) 12 (c) 13 (d) 10
19. 19.What is the mean of 2, 14, 11 and 13? (a) 8 (b) 9 (c) 11 (d) 10
20. 20.What is the median of 5, 12, 13, 21, 39, 40 and 4? (a) 14 (b) 21 (c) 12 (d) 13
21. 21.What is the median of 18, 38, 35, 24, 32, 15 and 25? (a) 26 (b) 25 (c) 32 (d) 24
22. 22.What is the mean of 20, 10, 4 and 6? (a) 11 (b) 8 (c) 10 (d) 9
23. 23.The mean of 6 numbers is 20. When the number 13 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 18
24. 24.What is the mode of 14, 2, 2, 1, 19, 1 and 2? (a) 19 (b) 1 (c) 14 (d) 2
25. 25.What is the mode of 17, 11, 1, 17, 17, 11 and 6? (a) 17 (b) 11 (c) 6 (d) 1
26. 26.What is the mean of 11, 2, 16, 18, 3 and 16? (a) 12 (b) 13 (c) 11 (d) 10
27. 27.What is the mean of 4, 17, 16, 17 and 11? (a) 13 (b) 14 (c) 15 (d) 12
28. 28.What is the median of 5, 30, 29, 16, 11, 2 and 25? (a) 16 (b) 25 (c) 17 (d) 11
29. 29.What is the median of 25, 37, 6, 16 and 13? (a) 13 (b) 16 (c) 25 (d) 6
30. 30.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 22 (c) 21 (d) 19
31. 31.What is the mean of 4, 7, 9 and 20? (a) 11 (b) 9 (c) 10 (d) 8
32. 32.What is the mean of 15, 6, 18, 16, 4 and 13? (a) 13 (b) 14 (c) 11 (d) 12
33. 33.What is the mean of 4, 11, 8 and 5? (a) 7 (b) 6 (c) 8 (d) 9
34. 34.What is the mode of 10, 10, 8, 6, 8, 8 and 2? (a) 10 (b) 6 (c) 2 (d) 8
35. 35.What is the mode of 17, 3, 9, 17, 9, 16 and 17? (a) 9 (b) 17 (c) 16 (d) 3
36. 36.What is the mean of 10, 18, 6, 14, 18 and 18? (a) 12 (b) 13 (c) 15 (d) 14
37. 37.What is the mode of 17, 13, 5, 17, 5, 11 and 17? (a) 11 (b) 17 (c) 13 (d) 5
38. 38.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 33 (b) 38 (c) 45 (d) 37
39. 39.What is the mode of 13, 5, 2, 2, 8, 2 and 5? (a) 5 (b) 8 (c) 13 (d) 2
40. 40.What is the median of 14, 33, 4, 35, 30, 7 and 38? (a) 35 (b) 33 (c) 23 (d) 30

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