Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 429 · 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 40, 4, 15, 5 and 35? (a) 35 (b) 5 (c) 16 (d) 15
2. 2.What is the mean of 10, 5, 12, 6, 3 and 6? (a) 8 (b) 7 (c) 6 (d) 9
3. 3.What is the median of 39, 1, 38, 24 and 4? (a) 25 (b) 24 (c) 4 (d) 38
4. 4.What is the mean of 4, 13, 13, 13 and 7? (a) 11 (b) 9 (c) 12 (d) 10
5. 5.What is the mode of 17, 2, 3, 16, 2, 3 and 3? (a) 2 (b) 3 (c) 16 (d) 17
6. 6.What is the median of 3, 32, 12, 37, 22, 16 and 17? (a) 37 (b) 16 (c) 17 (d) 22
7. 7.What is the median of 36, 25, 28, 19 and 34? (a) 29 (b) 28 (c) 25 (d) 34
8. 8.What is the median of 4, 3, 13, 19, 8, 20 and 6? (a) 6 (b) 13 (c) 8 (d) 19
9. 9.What is the median of 40, 6, 32, 20 and 35? (a) 35 (b) 33 (c) 32 (d) 20
10. 10.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
11. 11.What is the mean of 20, 7, 3, 2 and 13? (a) 8 (b) 9 (c) 11 (d) 10
12. 12.What is the mean of 13, 8, 17, 10, 13 and 17? (a) 12 (b) 15 (c) 14 (d) 13
13. 13.What is the mode of 2, 2, 7, 11, 11, 10 and 11? (a) 2 (b) 10 (c) 7 (d) 11
14. 14.What is the mode of 12, 7, 5, 7, 7, 1 and 12? (a) 7 (b) 1 (c) 12 (d) 5
15. 15.What is the mean of 14, 19, 4, 17 and 11? (a) 13 (b) 12 (c) 15 (d) 14
16. 16.What is the mean of 4, 19, 6, 14, 17 and 18? (a) 15 (b) 13 (c) 12 (d) 14
17. 17.What is the mean of 10, 8, 15, 3 and 4? (a) 7 (b) 10 (c) 9 (d) 8
18. 18.What is the median of 10, 36, 37, 4 and 29? (a) 10 (b) 37 (c) 36 (d) 29
19. 19.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 22 (b) 34 (c) 25 (d) 26
20. 20.What is the median of 22, 8, 13, 23 and 40? (a) 23 (b) 13 (c) 21 (d) 22
21. 21.What is the mode of 9, 17, 3, 17, 3, 18 and 3? (a) 17 (b) 3 (c) 18 (d) 9
22. 22.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 13
23. 23.What is the mean of 5, 4, 12 and 19? (a) 8 (b) 11 (c) 9 (d) 10
24. 24.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 25
25. 25.What is the mean of 7, 5, 14, 6, 17 and 23? (a) 13 (b) 14 (c) 12 (d) 11
26. 26.What is the median of 27, 31, 12, 15 and 9? (a) 15 (b) 27 (c) 16 (d) 12
27. 27.What is the mode of 2, 10, 1, 2, 2, 10 and 12? (a) 2 (b) 10 (c) 1 (d) 12
28. 28.The mean of 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 11 (b) 15 (c) 16 (d) 14
29. 29.What is the mean of 20, 2, 15 and 7? (a) 13 (b) 12 (c) 10 (d) 11
30. 30.What is the mean of 16, 10, 2 and 16? (a) 12 (b) 10 (c) 11 (d) 13
31. 31.What is the mean of 12, 2, 17 and 21? (a) 15 (b) 13 (c) 12 (d) 14
32. 32.The mean of 5 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 27 (b) 32 (c) 31 (d) 33
33. 33.What is the mode of 8, 12, 9, 5, 8, 5 and 8? (a) 8 (b) 5 (c) 12 (d) 9
34. 34.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 23
35. 35.What is the mode of 4, 16, 5, 12, 5, 5 and 4? (a) 12 (b) 16 (c) 4 (d) 5
36. 36.What is the median of 34, 16, 27, 8, 1, 28 and 38? (a) 8 (b) 28 (c) 16 (d) 27
37. 37.What is the mode of 1, 1, 15, 15, 1, 12 and 16? (a) 16 (b) 1 (c) 15 (d) 12
38. 38.What is the mean of 6, 18, 3, 3, 5 and 7? (a) 9 (b) 8 (c) 7 (d) 6
39. 39.What is the mean of 15, 13, 11 and 5? (a) 12 (b) 10 (c) 11 (d) 13
40. 40.What is the median of 21, 27, 33, 37 and 31? (a) 32 (b) 27 (c) 31 (d) 33

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