Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 536 · 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 mean of 14, 17, 5 and 20? (a) 14 (b) 16 (c) 13 (d) 15
2. 2.What is the mode of 3, 3, 7, 12, 8, 12 and 3? (a) 8 (b) 3 (c) 7 (d) 12
3. 3.What is the median of 24, 37, 8, 20, 26, 27 and 17? (a) 25 (b) 20 (c) 24 (d) 26
4. 4.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 18 (b) 22 (c) 14 (d) 19
5. 5.What is the mean of 9, 11, 19 and 17? (a) 13 (b) 16 (c) 15 (d) 14
6. 6.The mean of 9 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 22
7. 7.What is the median of 19, 5, 32, 35, 8, 7 and 34? (a) 35 (b) 32 (c) 20 (d) 19
8. 8.What is the mode of 3, 16, 5, 7, 16, 5 and 16? (a) 5 (b) 3 (c) 7 (d) 16
9. 9.What is the mean of 19, 4, 11, 8, 5 and 25? (a) 12 (b) 13 (c) 14 (d) 11
10. 10.What is the median of 40, 13, 4, 2, 22, 12 and 1? (a) 13 (b) 4 (c) 12 (d) 2
11. 11.What is the mean of 15, 7, 13 and 5? (a) 11 (b) 9 (c) 8 (d) 10
12. 12.What is the mean of 9, 14, 7, 5 and 15? (a) 12 (b) 9 (c) 10 (d) 11
13. 13.What is the mode of 1, 3, 1, 1, 18, 18 and 4? (a) 18 (b) 4 (c) 1 (d) 3
14. 14.What is the mean of 19, 16, 20, 5, 13 and 17? (a) 15 (b) 16 (c) 18 (d) 14
15. 15.What is the mean of 7, 7, 11, 8 and 12? (a) 11 (b) 9 (c) 8 (d) 10
16. 16.What is the mode of 17, 3, 17, 11, 10, 17 and 11? (a) 10 (b) 3 (c) 17 (d) 11
17. 17.What is the mean of 15, 3, 5, 5 and 7? (a) 8 (b) 9 (c) 6 (d) 7
18. 18.What is the median of 31, 24, 10, 4, 2, 35 and 22? (a) 4 (b) 24 (c) 22 (d) 10
19. 19.What is the median of 25, 10, 30, 26 and 19? (a) 22 (b) 30 (c) 26 (d) 25
20. 20.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 33 (b) 26 (c) 32 (d) 35
21. 21.The mean of 3 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 23 (b) 29 (c) 27 (d) 26
22. 22.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 33 (b) 32 (c) 34 (d) 31
23. 23.What is the median of 29, 16, 34, 10 and 31? (a) 34 (b) 29 (c) 24 (d) 31
24. 24.What is the median of 13, 33, 40, 5 and 9? (a) 40 (b) 33 (c) 20 (d) 13
25. 25.What is the mean of 17, 6, 18, 11, 12 and 20? (a) 14 (b) 13 (c) 15 (d) 12
26. 26.What is the median of 8, 18, 10, 5 and 25? (a) 11 (b) 8 (c) 18 (d) 10
27. 27.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 14 (b) 18 (c) 17 (d) 26
28. 28.What is the mode of 20, 20, 17, 2, 19, 2 and 2? (a) 17 (b) 2 (c) 19 (d) 20
29. 29.What is the median of 34, 8, 6, 17, 11, 31 and 19? (a) 17 (b) 18 (c) 19 (d) 11
30. 30.What is the mean of 6, 19, 15, 4 and 6? (a) 12 (b) 11 (c) 10 (d) 9
31. 31.What is the mode of 5, 2, 12, 5, 14, 12 and 5? (a) 12 (b) 14 (c) 2 (d) 5
32. 32.What is the mean of 5, 3, 19, 10, 13 and 4? (a) 8 (b) 11 (c) 9 (d) 10
33. 33.What is the mode of 1, 3, 1, 11, 1, 3 and 5? (a) 3 (b) 1 (c) 11 (d) 5
34. 34.What is the mean of 14, 11, 10, 2 and 8? (a) 11 (b) 10 (c) 9 (d) 8
35. 35.What is the mode of 10, 6, 9, 10, 10, 6 and 4? (a) 6 (b) 4 (c) 9 (d) 10
36. 36.What is the median of 29, 10, 12, 34 and 18? (a) 18 (b) 19 (c) 29 (d) 12
37. 37.What is the median of 1, 5, 14, 33 and 7? (a) 14 (b) 5 (c) 12 (d) 7
38. 38.What is the median of 16, 34, 36, 31, 14, 6 and 2? (a) 17 (b) 16 (c) 14 (d) 31
39. 39.What is the median of 28, 1, 21, 23 and 18? (a) 21 (b) 23 (c) 22 (d) 18
40. 40.What is the mean of 11, 4, 13, 15 and 22? (a) 13 (b) 12 (c) 14 (d) 15

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