Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 294 · 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 31, 29, 28, 16, 8, 4 and 33? (a) 29 (b) 16 (c) 28 (d) 27
2. 2.What is the median of 36, 20, 35, 27 and 23? (a) 23 (b) 27 (c) 28 (d) 35
3. 3.What is the mean of 20, 3, 16 and 9? (a) 12 (b) 13 (c) 11 (d) 16
4. 4.What is the mean of 8, 18, 12, 5, 4 and 19? (a) 10 (b) 12 (c) 13 (d) 11
5. 5.What is the mean of 19, 3, 18, 13, 2 and 11? (a) 13 (b) 11 (c) 10 (d) 12
6. 6.What is the mean of 5, 10, 15, 4, 4 and 16? (a) 10 (b) 8 (c) 9 (d) 11
7. 7.What is the mode of 7, 2, 2, 7, 2, 10 and 13? (a) 10 (b) 2 (c) 13 (d) 7
8. 8.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 39 (b) 41 (c) 48 (d) 42
9. 9.What is the mode of 7, 16, 5, 16, 7, 19 and 7? (a) 5 (b) 19 (c) 16 (d) 7
10. 10.What is the mode of 6, 7, 3, 3, 7, 7 and 4? (a) 6 (b) 7 (c) 3 (d) 4
11. 11.What is the mode of 20, 15, 4, 9, 9, 4 and 9? (a) 20 (b) 4 (c) 9 (d) 15
12. 12.What is the mode of 5, 4, 10, 7, 10, 5 and 5? (a) 4 (b) 5 (c) 10 (d) 7
13. 13.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 14 (c) 10 (d) 15
14. 14.What is the mean of 7, 7, 12 and 10? (a) 8 (b) 9 (c) 12 (d) 10
15. 15.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 30 (b) 20 (c) 32 (d) 29
16. 16.What is the mean of 6, 19, 8 and 19? (a) 13 (b) 14 (c) 12 (d) 15
17. 17.The mean of 8 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 12 (b) 20 (c) 21 (d) 19
18. 18.What is the median of 14, 34, 12, 15 and 26? (a) 12 (b) 26 (c) 15 (d) 14
19. 19.What is the mode of 15, 13, 19, 15, 10, 19 and 19? (a) 15 (b) 13 (c) 10 (d) 19
20. 20.What is the mode of 7, 11, 2, 7, 2, 5 and 2? (a) 11 (b) 7 (c) 5 (d) 2
21. 21.What is the mode of 20, 20, 1, 12, 8, 20 and 1? (a) 1 (b) 20 (c) 8 (d) 12
22. 22.What is the median of 27, 6, 18, 4, 8, 40 and 38? (a) 18 (b) 27 (c) 8 (d) 4
23. 23.What is the median of 21, 32, 8, 40, 28, 7 and 27? (a) 28 (b) 40 (c) 27 (d) 21
24. 24.What is the median of 3, 18, 24, 25 and 20? (a) 21 (b) 24 (c) 18 (d) 20
25. 25.What is the mode of 12, 12, 19, 8, 7, 8 and 12? (a) 7 (b) 12 (c) 19 (d) 8
26. 26.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 40 (b) 45 (c) 35 (d) 39
27. 27.What is the mode of 5, 5, 19, 4, 5, 4 and 3? (a) 19 (b) 4 (c) 3 (d) 5
28. 28.What is the mean of 4, 4, 12 and 16? (a) 12 (b) 10 (c) 8 (d) 9
29. 29.What is the median of 2, 32, 26, 22 and 3? (a) 26 (b) 3 (c) 22 (d) 17
30. 30.What is the mode of 4, 5, 5, 11, 6, 6 and 5? (a) 11 (b) 6 (c) 4 (d) 5
31. 31.What is the median of 15, 5, 6, 40, 25, 28 and 17? (a) 40 (b) 15 (c) 25 (d) 17
32. 32.What is the mean of 8, 13, 15, 10 and 14? (a) 12 (b) 13 (c) 10 (d) 15
33. 33.What is the mode of 11, 5, 5, 5, 17, 4 and 11? (a) 5 (b) 11 (c) 4 (d) 17
34. 34.What is the median of 4, 11, 9, 3, 8, 24 and 20? (a) 3 (b) 11 (c) 9 (d) 8
35. 35.What is the mode of 7, 2, 19, 7, 2, 15 and 2? (a) 19 (b) 2 (c) 7 (d) 15
36. 36.What is the mean of 7, 20, 14, 20, 19 and 16? (a) 17 (b) 16 (c) 15 (d) 18
37. 37.What is the mode of 7, 7, 2, 2, 14, 6 and 2? (a) 2 (b) 6 (c) 14 (d) 7
38. 38.What is the median of 36, 40, 17, 12, 34, 25 and 7? (a) 12 (b) 25 (c) 17 (d) 34
39. 39.What is the mean of 2, 9, 2, 14, 18 and 3? (a) 7 (b) 9 (c) 10 (d) 8
40. 40.What is the mean of 17, 16, 10 and 21? (a) 16 (b) 17 (c) 18 (d) 15

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