Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 185 · 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 3, 11, 5 and 13? (a) 7 (b) 9 (c) 10 (d) 8
2. 2.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 30 (b) 29 (c) 24 (d) 31
3. 3.The mean of 4 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 25 (b) 18 (c) 28 (d) 24
4. 4.What is the median of 3, 24, 4, 31 and 5? (a) 6 (b) 4 (c) 24 (d) 5
5. 5.What is the mean of 20, 11, 4 and 17? (a) 12 (b) 14 (c) 13 (d) 15
6. 6.What is the mode of 17, 5, 1, 11, 1, 1 and 17? (a) 17 (b) 5 (c) 1 (d) 11
7. 7.What is the median of 1, 19, 13, 12, 5, 23 and 25? (a) 14 (b) 19 (c) 12 (d) 13
8. 8.What is the mode of 6, 3, 11, 3, 1, 11 and 11? (a) 11 (b) 6 (c) 1 (d) 3
9. 9.What is the median of 36, 29, 9, 32, 16, 38 and 7? (a) 16 (b) 32 (c) 30 (d) 29
10. 10.What is the median of 34, 9, 31, 2, 1, 28 and 37? (a) 28 (b) 2 (c) 31 (d) 9
11. 11.What is the mode of 2, 17, 17, 7, 9, 9 and 9? (a) 7 (b) 9 (c) 17 (d) 2
12. 12.What is the median of 37, 15, 25, 35 and 38? (a) 30 (b) 25 (c) 37 (d) 35
13. 13.The mean of 6 numbers is 14. When the number 28 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 21
14. 14.The mean of 8 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 40 (b) 38 (c) 31 (d) 39
15. 15.The mean of 7 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 29 (b) 37 (c) 31 (d) 32
16. 16.What is the mode of 18, 17, 17, 17, 7, 10 and 7? (a) 18 (b) 7 (c) 17 (d) 10
17. 17.What is the mean of 18, 3, 3, 4, 2 and 12? (a) 6 (b) 7 (c) 8 (d) 9
18. 18.What is the mean of 16, 8, 14 and 6? (a) 10 (b) 13 (c) 12 (d) 11
19. 19.The mean of 3 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 27 (b) 30 (c) 31 (d) 29
20. 20.The mean of 6 numbers is 20. When the number 27 is added to them, what is the new mean? (a) 20 (b) 22 (c) 23 (d) 21
21. 21.What is the mean of 11, 18, 6 and 5? (a) 8 (b) 9 (c) 10 (d) 11
22. 22.What is the median of 27, 31, 21, 5, 28, 10 and 36? (a) 21 (b) 27 (c) 28 (d) 5
23. 23.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 32 (b) 31 (c) 30 (d) 34
24. 24.What is the median of 36, 7, 40, 8, 17, 16 and 15? (a) 8 (b) 17 (c) 16 (d) 15
25. 25.What is the mode of 19, 4, 19, 4, 3, 2 and 19? (a) 3 (b) 19 (c) 2 (d) 4
26. 26.What is the mode of 11, 14, 8, 8, 5, 11 and 11? (a) 14 (b) 8 (c) 5 (d) 11
27. 27.The mean of 6 numbers is 29. When the number 22 is added to them, what is the new mean? (a) 29 (b) 30 (c) 27 (d) 28
28. 28.What is the mean of 9, 19, 2 and 18? (a) 13 (b) 16 (c) 11 (d) 12
29. 29.What is the mode of 3, 11, 17, 11, 3, 3 and 9? (a) 3 (b) 9 (c) 11 (d) 17
30. 30.What is the median of 6, 27, 28, 35, 7, 3 and 9? (a) 27 (b) 9 (c) 7 (d) 35
31. 31.What is the mode of 3, 6, 19, 4, 3, 19 and 3? (a) 4 (b) 6 (c) 19 (d) 3
32. 32.What is the mode of 5, 9, 19, 12, 9, 5 and 9? (a) 5 (b) 12 (c) 9 (d) 19
33. 33.What is the mean of 5, 10, 15, 12 and 8? (a) 11 (b) 10 (c) 12 (d) 9
34. 34.What is the mean of 7, 13, 15 and 17? (a) 14 (b) 13 (c) 15 (d) 12
35. 35.What is the mode of 16, 2, 13, 13, 18, 16 and 16? (a) 2 (b) 16 (c) 13 (d) 18
36. 36.What is the mean of 6, 5, 2, 14, 19 and 14? (a) 12 (b) 10 (c) 9 (d) 11
37. 37.What is the mode of 2, 11, 9, 15, 15, 11 and 15? (a) 9 (b) 15 (c) 2 (d) 11
38. 38.What is the median of 26, 31, 22, 15, 13, 2 and 36? (a) 22 (b) 26 (c) 23 (d) 15
39. 39.What is the mode of 17, 4, 15, 17, 17, 19 and 15? (a) 19 (b) 15 (c) 17 (d) 4
40. 40.What is the mean of 15, 5, 2 and 2? (a) 7 (b) 5 (c) 8 (d) 6

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