Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 518 · 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, 14, 13, 4 and 24? (a) 14 (b) 16 (c) 17 (d) 15
2. 2.What is the mean of 11, 13, 11 and 13? (a) 13 (b) 16 (c) 11 (d) 12
3. 3.What is the mean of 11, 9, 10, 5, 10 and 9? (a) 10 (b) 9 (c) 8 (d) 11
4. 4.What is the mode of 17, 17, 6, 6, 17, 18 and 3? (a) 18 (b) 3 (c) 6 (d) 17
5. 5.What is the mean of 8, 5, 8, 2 and 22? (a) 9 (b) 11 (c) 10 (d) 8
6. 6.What is the mean of 4, 5, 19, 2, 6 and 12? (a) 9 (b) 8 (c) 10 (d) 7
7. 7.What is the median of 20, 19, 40, 26 and 9? (a) 40 (b) 20 (c) 19 (d) 26
8. 8.What is the mode of 6, 6, 16, 16, 5, 6 and 15? (a) 6 (b) 16 (c) 15 (d) 5
9. 9.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 26 (b) 25 (c) 23 (d) 24
10. 10.What is the mean of 12, 20, 3, 12 and 8? (a) 10 (b) 12 (c) 13 (d) 11
11. 11.What is the mean of 8, 4, 2 and 22? (a) 8 (b) 12 (c) 10 (d) 9
12. 12.What is the median of 14, 21, 4, 36, 15, 32 and 2? (a) 36 (b) 15 (c) 21 (d) 14
13. 13.The mean of 6 numbers is 24. When the number 31 is added to them, what is the new mean? (a) 24 (b) 27 (c) 26 (d) 25
14. 14.The mean of 6 numbers is 32. When the number 60 is added to them, what is the new mean? (a) 46 (b) 36 (c) 37 (d) 32
15. 15.What is the mode of 16, 8, 16, 4, 3, 8 and 8? (a) 4 (b) 16 (c) 3 (d) 8
16. 16.What is the mean of 5, 17, 10, 17, 10 and 7? (a) 12 (b) 13 (c) 10 (d) 11
17. 17.What is the mean of 20, 2, 5, 10, 13 and 16? (a) 10 (b) 12 (c) 11 (d) 13
18. 18.The mean of 6 numbers is 32. When the number 11 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 32
19. 19.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 18
20. 20.The mean of 5 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 22 (b) 17 (c) 16 (d) 13
21. 21.What is the mode of 15, 10, 19, 19, 19, 20 and 20? (a) 19 (b) 20 (c) 10 (d) 15
22. 22.What is the mode of 18, 18, 11, 11, 18, 19 and 7? (a) 19 (b) 18 (c) 11 (d) 7
23. 23.What is the mode of 11, 6, 6, 13, 12, 12 and 12? (a) 12 (b) 13 (c) 11 (d) 6
24. 24.What is the mean of 17, 3, 4, 12, 9 and 9? (a) 11 (b) 9 (c) 8 (d) 10
25. 25.What is the mean of 11, 15, 6 and 4? (a) 12 (b) 8 (c) 9 (d) 10
26. 26.What is the median of 21, 23, 13, 9, 32, 16 and 33? (a) 16 (b) 21 (c) 9 (d) 23
27. 27.What is the median of 14, 3, 17, 1, 7, 12 and 28? (a) 1 (b) 7 (c) 14 (d) 12
28. 28.What is the mean of 12, 19, 14 and 7? (a) 12 (b) 13 (c) 15 (d) 14
29. 29.What is the mean of 6, 20, 19, 3, 13 and 5? (a) 10 (b) 13 (c) 11 (d) 12
30. 30.What is the median of 33, 20, 14, 6, 39, 25 and 40? (a) 6 (b) 25 (c) 33 (d) 20
31. 31.What is the mean of 20, 15, 10 and 15? (a) 12 (b) 15 (c) 16 (d) 20
32. 32.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 12 (b) 13 (c) 10 (d) 11
33. 33.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 7
34. 34.What is the mean of 17, 3, 17, 4, 5 and 20? (a) 13 (b) 12 (c) 11 (d) 10
35. 35.The mean of 7 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 31 (b) 19 (c) 23 (d) 22
36. 36.What is the mean of 4, 5, 17, 10, 9 and 15? (a) 10 (b) 12 (c) 9 (d) 11
37. 37.What is the median of 1, 6, 33, 29, 31, 11 and 18? (a) 18 (b) 29 (c) 11 (d) 19
38. 38.What is the mean of 7, 2, 6, 2, 8 and 17? (a) 6 (b) 9 (c) 7 (d) 8
39. 39.What is the mean of 6, 17, 6, 9 and 7? (a) 11 (b) 9 (c) 8 (d) 10
40. 40.What is the mean of 17, 5, 15, 4, 12 and 19? (a) 14 (b) 13 (c) 12 (d) 11

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