Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 154 · 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 6, 14, 6, 15, 14, 6 and 2? (a) 15 (b) 6 (c) 2 (d) 14
2. 2.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 18 (b) 30 (c) 19 (d) 15
3. 3.What is the median of 29, 13, 8, 18 and 26? (a) 18 (b) 8 (c) 13 (d) 26
4. 4.What is the median of 40, 38, 27, 12 and 4? (a) 28 (b) 12 (c) 27 (d) 38
5. 5.What is the median of 38, 9, 12, 31 and 29? (a) 29 (b) 30 (c) 12 (d) 31
6. 6.What is the mean of 19, 20, 11, 12, 12 and 4? (a) 12 (b) 13 (c) 15 (d) 14
7. 7.What is the median of 35, 34, 25, 40 and 7? (a) 35 (b) 33 (c) 25 (d) 34
8. 8.What is the median of 27, 24, 33, 40 and 1? (a) 27 (b) 25 (c) 24 (d) 33
9. 9.What is the mode of 3, 2, 9, 9, 3, 19 and 9? (a) 2 (b) 9 (c) 3 (d) 19
10. 10.What is the median of 27, 5, 16, 11 and 13? (a) 13 (b) 16 (c) 14 (d) 11
11. 11.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
12. 12.What is the mean of 4, 16, 4, 19, 15 and 14? (a) 12 (b) 11 (c) 14 (d) 13
13. 13.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 29 (b) 28 (c) 25 (d) 27
14. 14.What is the mode of 8, 19, 19, 13, 20, 19 and 13? (a) 8 (b) 19 (c) 20 (d) 13
15. 15.What is the median of 9, 13, 30, 2 and 16? (a) 30 (b) 14 (c) 13 (d) 16
16. 16.What is the mean of 18, 9, 3 and 22? (a) 15 (b) 13 (c) 12 (d) 14
17. 17.What is the mode of 18, 5, 18, 18, 15, 5 and 7? (a) 5 (b) 15 (c) 7 (d) 18
18. 18.What is the median of 32, 19, 3, 12, 13, 38 and 4? (a) 14 (b) 13 (c) 19 (d) 12
19. 19.What is the mean of 7, 19, 13, 19 and 22? (a) 15 (b) 17 (c) 16 (d) 20
20. 20.What is the median of 37, 32, 33, 20 and 8? (a) 32 (b) 33 (c) 20 (d) 26
21. 21.What is the mean of 10, 8, 7, 3 and 7? (a) 7 (b) 8 (c) 6 (d) 9
22. 22.What is the median of 5, 25, 6, 32 and 28? (a) 6 (b) 26 (c) 25 (d) 28
23. 23.What is the median of 4, 8, 5, 28, 34, 14 and 35? (a) 8 (b) 15 (c) 14 (d) 28
24. 24.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 16
25. 25.What is the median of 30, 14, 40, 19 and 8? (a) 40 (b) 14 (c) 30 (d) 19
26. 26.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 39
27. 27.What is the median of 38, 15, 4, 8, 7, 30 and 10? (a) 10 (b) 16 (c) 8 (d) 15
28. 28.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 13 (b) 16 (c) 17 (d) 15
29. 29.What is the median of 14, 28, 26, 18, 20, 34 and 11? (a) 21 (b) 26 (c) 20 (d) 18
30. 30.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 19
31. 31.What is the mean of 14, 14, 20, 8, 20 and 8? (a) 14 (b) 13 (c) 12 (d) 15
32. 32.What is the mode of 5, 15, 2, 15, 2, 18 and 2? (a) 5 (b) 15 (c) 18 (d) 2
33. 33.What is the median of 32, 11, 5, 22, 19, 3 and 40? (a) 22 (b) 19 (c) 11 (d) 20
34. 34.What is the mean of 3, 19, 17, 13 and 13? (a) 14 (b) 13 (c) 12 (d) 15
35. 35.What is the mode of 15, 15, 13, 13, 9, 2 and 13? (a) 15 (b) 2 (c) 13 (d) 9
36. 36.What is the median of 40, 33, 37, 39 and 16? (a) 39 (b) 38 (c) 37 (d) 33
37. 37.What is the mode of 16, 16, 20, 10, 6, 6 and 16? (a) 10 (b) 6 (c) 20 (d) 16
38. 38.What is the mean of 4, 2, 11, 11 and 7? (a) 7 (b) 9 (c) 6 (d) 8
39. 39.What is the mean of 14, 11, 10 and 13? (a) 13 (b) 11 (c) 16 (d) 12
40. 40.What is the mean of 8, 12, 13, 10 and 12? (a) 10 (b) 12 (c) 11 (d) 13

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