Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 239 · 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 20, 4, 18, 5, 8 and 11? (a) 11 (b) 13 (c) 12 (d) 10
2. 2.What is the median of 30, 15, 33, 37, 29, 7 and 18? (a) 29 (b) 37 (c) 30 (d) 18
3. 3.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 21 (b) 27 (c) 19 (d) 22
4. 4.What is the mode of 4, 10, 3, 3, 3, 20 and 20? (a) 10 (b) 20 (c) 3 (d) 4
5. 5.What is the mode of 9, 17, 9, 15, 9, 17 and 4? (a) 9 (b) 17 (c) 15 (d) 4
6. 6.What is the mode of 4, 2, 2, 13, 4, 2 and 20? (a) 13 (b) 4 (c) 20 (d) 2
7. 7.What is the median of 16, 9, 13, 26 and 40? (a) 17 (b) 26 (c) 16 (d) 13
8. 8.What is the mode of 4, 4, 5, 13, 5, 14 and 5? (a) 5 (b) 4 (c) 13 (d) 14
9. 9.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 17
10. 10.What is the median of 12, 31, 24, 9, 18, 25 and 14? (a) 19 (b) 9 (c) 18 (d) 24
11. 11.What is the median of 10, 39, 20, 25, 40, 35 and 17? (a) 25 (b) 20 (c) 35 (d) 26
12. 12.What is the median of 18, 10, 1, 5, 36, 14 and 19? (a) 18 (b) 10 (c) 5 (d) 14
13. 13.What is the mean of 16, 15, 6 and 7? (a) 13 (b) 10 (c) 12 (d) 11
14. 14.What is the mean of 4, 7, 6 and 11? (a) 8 (b) 7 (c) 6 (d) 9
15. 15.What is the mean of 20, 11, 11, 10, 14 and 18? (a) 12 (b) 15 (c) 13 (d) 14
16. 16.What is the mode of 12, 15, 12, 9, 1, 12 and 1? (a) 9 (b) 1 (c) 15 (d) 12
17. 17.What is the mode of 5, 19, 6, 19, 5, 19 and 9? (a) 19 (b) 6 (c) 5 (d) 9
18. 18.What is the mean of 15, 7, 12, 2, 2 and 16? (a) 10 (b) 8 (c) 9 (d) 11
19. 19.What is the mean of 4, 10, 17, 6 and 13? (a) 11 (b) 12 (c) 9 (d) 10
20. 20.What is the mean of 4, 9, 6 and 21? (a) 10 (b) 8 (c) 9 (d) 11
21. 21.What is the mode of 15, 10, 15, 15, 12, 11 and 10? (a) 11 (b) 12 (c) 15 (d) 10
22. 22.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 31
23. 23.What is the mode of 15, 15, 4, 4, 4, 5 and 8? (a) 15 (b) 4 (c) 5 (d) 8
24. 24.What is the mean of 14, 9, 16, 6, 17 and 16? (a) 15 (b) 13 (c) 14 (d) 12
25. 25.What is the mode of 12, 12, 2, 9, 1, 2 and 2? (a) 2 (b) 9 (c) 12 (d) 1
26. 26.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
27. 27.What is the mean of 2, 17, 19, 7 and 20? (a) 13 (b) 15 (c) 12 (d) 14
28. 28.What is the mean of 12, 14, 20, 6, 20 and 12? (a) 12 (b) 15 (c) 13 (d) 14
29. 29.What is the mean of 12, 14, 14, 6, 19 and 19? (a) 13 (b) 12 (c) 15 (d) 14
30. 30.What is the median of 6, 4, 17, 38 and 13? (a) 14 (b) 6 (c) 13 (d) 17
31. 31.What is the mean of 20, 20, 19, 2, 17 and 12? (a) 15 (b) 14 (c) 18 (d) 16
32. 32.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 37
33. 33.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 20
34. 34.What is the mean of 11, 18, 6 and 17? (a) 14 (b) 15 (c) 13 (d) 12
35. 35.What is the mode of 11, 14, 9, 14, 5, 14 and 11? (a) 9 (b) 14 (c) 5 (d) 11
36. 36.What is the mode of 14, 10, 14, 2, 10, 10 and 16? (a) 2 (b) 16 (c) 14 (d) 10
37. 37.What is the mode of 10, 16, 6, 15, 16, 15 and 15? (a) 16 (b) 15 (c) 6 (d) 10
38. 38.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 35 (b) 29 (c) 27 (d) 30
39. 39.What is the mode of 9, 6, 6, 4, 14, 4 and 4? (a) 9 (b) 14 (c) 6 (d) 4
40. 40.What is the mode of 1, 14, 11, 14, 14, 1 and 5? (a) 1 (b) 11 (c) 5 (d) 14

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