Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 709 · 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.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 38
2. 2.What is the median of 34, 25, 8, 18, 7, 12 and 19? (a) 18 (b) 19 (c) 12 (d) 17
3. 3.What is the mode of 4, 19, 19, 5, 3, 3 and 19? (a) 5 (b) 19 (c) 4 (d) 3
4. 4.The mean of 5 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 27 (b) 21 (c) 18 (d) 22
5. 5.What is the mode of 1, 6, 9, 9, 1, 15 and 1? (a) 15 (b) 6 (c) 1 (d) 9
6. 6.What is the mean of 19, 13, 3, 3 and 17? (a) 11 (b) 13 (c) 12 (d) 10
7. 7.What is the median of 5, 6, 8, 30 and 32? (a) 9 (b) 6 (c) 8 (d) 30
8. 8.What is the mean of 6, 18, 7, 17, 6 and 12? (a) 10 (b) 11 (c) 13 (d) 12
9. 9.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
10. 10.What is the mean of 2, 8, 13 and 9? (a) 8 (b) 10 (c) 7 (d) 9
11. 11.What is the mode of 2, 18, 5, 2, 18, 18 and 4? (a) 4 (b) 2 (c) 5 (d) 18
12. 12.The mean of 8 numbers is 39. When the number 48 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 40
13. 13.What is the median of 7, 16, 19, 22, 18, 6 and 2? (a) 18 (b) 16 (c) 7 (d) 22
14. 14.What is the median of 16, 2, 31, 14, 33, 15 and 35? (a) 31 (b) 16 (c) 14 (d) 15
15. 15.The mean of 5 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 15 (b) 18 (c) 21 (d) 17
16. 16.What is the mean of 2, 7, 17 and 14? (a) 11 (b) 10 (c) 8 (d) 9
17. 17.What is the median of 23, 12, 26, 20 and 1? (a) 26 (b) 20 (c) 12 (d) 23
18. 18.What is the median of 18, 10, 35, 37 and 39? (a) 35 (b) 36 (c) 37 (d) 18
19. 19.What is the mean of 14, 13, 8 and 9? (a) 13 (b) 12 (c) 11 (d) 10
20. 20.What is the median of 32, 36, 40, 14, 39, 9 and 34? (a) 32 (b) 34 (c) 36 (d) 14
21. 21.What is the median of 7, 32, 18, 14, 40, 29 and 28? (a) 28 (b) 14 (c) 24 (d) 29
22. 22.What is the mean of 10, 9, 6 and 3? (a) 6 (b) 7 (c) 9 (d) 8
23. 23.What is the median of 39, 19, 15, 27, 10, 32 and 1? (a) 20 (b) 27 (c) 19 (d) 15
24. 24.What is the mode of 11, 16, 5, 10, 11, 5 and 5? (a) 16 (b) 10 (c) 5 (d) 11
25. 25.What is the mean of 13, 12, 7, 11, 8 and 9? (a) 12 (b) 9 (c) 10 (d) 11
26. 26.What is the mode of 19, 15, 15, 9, 9, 9 and 5? (a) 5 (b) 19 (c) 15 (d) 9
27. 27.What is the mode of 8, 10, 8, 5, 15, 15 and 15? (a) 15 (b) 5 (c) 8 (d) 10
28. 28.What is the mean of 2, 11, 14, 7, 4 and 4? (a) 8 (b) 7 (c) 9 (d) 6
29. 29.What is the mean of 13, 19, 3, 14, 4 and 13? (a) 10 (b) 11 (c) 13 (d) 12
30. 30.What is the mode of 6, 6, 5, 4, 9, 5 and 5? (a) 4 (b) 5 (c) 6 (d) 9
31. 31.What is the mean of 6, 2, 2, 9 and 21? (a) 8 (b) 10 (c) 9 (d) 7
32. 32.What is the mode of 6, 5, 11, 18, 6, 11 and 11? (a) 6 (b) 11 (c) 18 (d) 5
33. 33.What is the mean of 6, 15, 19, 12 and 23? (a) 16 (b) 14 (c) 17 (d) 15
34. 34.What is the mean of 15, 17, 20, 16 and 17? (a) 18 (b) 17 (c) 16 (d) 19
35. 35.What is the mean of 20, 4, 5 and 19? (a) 13 (b) 16 (c) 12 (d) 11
36. 36.What is the mode of 6, 7, 19, 7, 13, 19 and 7? (a) 7 (b) 13 (c) 19 (d) 6
37. 37.What is the mode of 3, 13, 10, 3, 3, 13 and 16? (a) 16 (b) 13 (c) 3 (d) 10
38. 38.What is the median of 33, 28, 36, 27 and 24? (a) 36 (b) 28 (c) 33 (d) 27
39. 39.What is the mode of 1, 16, 16, 1, 6, 3 and 1? (a) 1 (b) 3 (c) 6 (d) 16
40. 40.What is the mean of 5, 5, 12, 16 and 17? (a) 12 (b) 11 (c) 13 (d) 10

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