Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 472 · 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 2, 10, 9, 2, 9, 19 and 9? (a) 10 (b) 19 (c) 9 (d) 2
2. 2.What is the mean of 10, 16, 9, 11, 7 and 7? (a) 12 (b) 11 (c) 10 (d) 9
3. 3.What is the mean of 8, 4, 8 and 16? (a) 12 (b) 10 (c) 8 (d) 9
4. 4.What is the median of 9, 7, 34, 35 and 6? (a) 10 (b) 7 (c) 9 (d) 34
5. 5.The mean of 8 numbers is 12. When the number 48 is added to them, what is the new mean? (a) 12 (b) 30 (c) 17 (d) 16
6. 6.What is the mean of 2, 2, 2, 4, 10 and 10? (a) 7 (b) 5 (c) 4 (d) 6
7. 7.What is the median of 15, 40, 21, 39 and 12? (a) 21 (b) 15 (c) 39 (d) 22
8. 8.What is the median of 13, 6, 29, 11, 25, 8 and 15? (a) 15 (b) 14 (c) 11 (d) 13
9. 9.The mean of 4 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 43 (b) 40 (c) 45 (d) 42
10. 10.What is the median of 11, 28, 39, 27 and 9? (a) 11 (b) 39 (c) 28 (d) 27
11. 11.What is the mean of 4, 5, 10, 19 and 22? (a) 10 (b) 13 (c) 15 (d) 12
12. 12.What is the mean of 20, 17, 6, 6, 10 and 7? (a) 11 (b) 12 (c) 10 (d) 13
13. 13.The mean of 7 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 22 (b) 14 (c) 16 (d) 17
14. 14.What is the mode of 18, 7, 2, 14, 18, 18 and 7? (a) 18 (b) 2 (c) 7 (d) 14
15. 15.What is the mean of 5, 5, 19, 19 and 17? (a) 15 (b) 13 (c) 14 (d) 12
16. 16.What is the mode of 18, 4, 13, 2, 13, 13 and 18? (a) 2 (b) 13 (c) 4 (d) 18
17. 17.What is the mean of 20, 15, 6 and 19? (a) 12 (b) 20 (c) 16 (d) 15
18. 18.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 15
19. 19.What is the mean of 18, 7, 2 and 13? (a) 10 (b) 8 (c) 9 (d) 11
20. 20.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 33 (c) 38 (d) 37
21. 21.What is the median of 12, 40, 1, 13, 14, 37 and 7? (a) 12 (b) 14 (c) 15 (d) 13
22. 22.What is the mean of 5, 16, 20 and 11? (a) 14 (b) 15 (c) 12 (d) 13
23. 23.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 16 (b) 17 (c) 19 (d) 18
24. 24.What is the mode of 8, 13, 8, 6, 6, 9 and 8? (a) 8 (b) 6 (c) 13 (d) 9
25. 25.What is the mean of 14, 2, 20 and 4? (a) 11 (b) 10 (c) 8 (d) 9
26. 26.What is the median of 3, 37, 19, 8 and 27? (a) 19 (b) 27 (c) 20 (d) 8
27. 27.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 29 (b) 24 (c) 27 (d) 28
28. 28.What is the mean of 4, 16, 4, 15, 11 and 16? (a) 12 (b) 11 (c) 10 (d) 13
29. 29.What is the mean of 13, 4, 14 and 13? (a) 11 (b) 10 (c) 12 (d) 13
30. 30.The mean of 5 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 25 (b) 28 (c) 24 (d) 22
31. 31.What is the median of 25, 35, 20, 29 and 10? (a) 29 (b) 26 (c) 20 (d) 25
32. 32.What is the median of 18, 13, 35, 40 and 25? (a) 35 (b) 25 (c) 26 (d) 18
33. 33.What is the mode of 13, 19, 1, 16, 19, 1 and 19? (a) 1 (b) 16 (c) 13 (d) 19
34. 34.What is the mode of 17, 2, 19, 13, 2, 2 and 13? (a) 13 (b) 17 (c) 2 (d) 19
35. 35.What is the mode of 11, 1, 12, 11, 17, 12 and 12? (a) 17 (b) 1 (c) 12 (d) 11
36. 36.What is the median of 14, 32, 37, 24 and 18? (a) 25 (b) 32 (c) 24 (d) 37
37. 37.What is the mode of 5, 3, 5, 1, 6, 1 and 5? (a) 1 (b) 3 (c) 5 (d) 6
38. 38.What is the mean of 7, 10, 17, 6, 4 and 22? (a) 11 (b) 12 (c) 13 (d) 10
39. 39.What is the median of 15, 28, 27, 10 and 18? (a) 18 (b) 27 (c) 19 (d) 15
40. 40.The mean of 8 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 31 (b) 22 (c) 25 (d) 24

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