Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 672 · 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 16, 20, 12, 7 and 20? (a) 14 (b) 16 (c) 17 (d) 15
2. 2.What is the mode of 1, 9, 9, 1, 19, 12 and 1? (a) 19 (b) 1 (c) 12 (d) 9
3. 3.What is the mean of 11, 12, 10, 9 and 8? (a) 9 (b) 11 (c) 10 (d) 12
4. 4.What is the mean of 17, 4, 10, 6 and 8? (a) 8 (b) 11 (c) 10 (d) 9
5. 5.What is the median of 12, 1, 24, 13 and 38? (a) 12 (b) 13 (c) 24 (d) 14
6. 6.What is the median of 7, 11, 13, 19 and 4? (a) 11 (b) 7 (c) 13 (d) 12
7. 7.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
8. 8.What is the median of 19, 17, 20, 30 and 28? (a) 19 (b) 20 (c) 21 (d) 28
9. 9.What is the mode of 5, 11, 5, 5, 18, 18 and 3? (a) 18 (b) 5 (c) 3 (d) 11
10. 10.What is the median of 31, 13, 3, 4 and 25? (a) 3 (b) 4 (c) 25 (d) 13
11. 11.What is the mode of 13, 15, 6, 15, 15, 7 and 7? (a) 13 (b) 6 (c) 15 (d) 7
12. 12.What is the mean of 17, 17, 4, 20 and 7? (a) 12 (b) 15 (c) 13 (d) 14
13. 13.What is the mean of 5, 3, 3, 5 and 14? (a) 5 (b) 7 (c) 6 (d) 8
14. 14.What is the median of 30, 16, 40, 23, 13, 22 and 25? (a) 23 (b) 24 (c) 22 (d) 25
15. 15.What is the median of 12, 6, 1, 31 and 4? (a) 12 (b) 1 (c) 6 (d) 4
16. 16.What is the mode of 6, 1, 6, 6, 9, 1 and 17? (a) 6 (b) 9 (c) 17 (d) 1
17. 17.What is the mean of 16, 19, 9 and 20? (a) 18 (b) 16 (c) 17 (d) 15
18. 18.What is the median of 22, 39, 31, 1, 7, 12 and 10? (a) 1 (b) 22 (c) 12 (d) 10
19. 19.What is the median of 25, 27, 4, 31 and 10? (a) 4 (b) 27 (c) 10 (d) 25
20. 20.What is the mode of 15, 3, 18, 18, 18, 10 and 3? (a) 10 (b) 18 (c) 3 (d) 15
21. 21.What is the mode of 1, 7, 6, 8, 1, 7 and 1? (a) 1 (b) 6 (c) 8 (d) 7
22. 22.What is the median of 18, 13, 12, 6, 32, 11 and 38? (a) 13 (b) 6 (c) 12 (d) 18
23. 23.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 10 (b) 19 (c) 13 (d) 12
24. 24.The mean of 8 numbers is 11. When the number 47 is added to them, what is the new mean? (a) 16 (b) 11 (c) 29 (d) 15
25. 25.What is the mode of 1, 1, 16, 18, 1, 18 and 7? (a) 16 (b) 1 (c) 7 (d) 18
26. 26.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 25 (b) 13 (c) 21 (d) 22
27. 27.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 19 (b) 20 (c) 17 (d) 18
28. 28.What is the mode of 5, 10, 10, 8, 10, 4 and 4? (a) 10 (b) 8 (c) 5 (d) 4
29. 29.What is the median of 29, 39, 19, 40 and 24? (a) 24 (b) 39 (c) 29 (d) 19
30. 30.What is the median of 6, 34, 37, 12 and 29? (a) 12 (b) 37 (c) 34 (d) 29
31. 31.What is the mode of 6, 1, 16, 8, 6, 6 and 1? (a) 16 (b) 8 (c) 1 (d) 6
32. 32.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 39 (c) 38 (d) 37
33. 33.What is the mean of 8, 19, 4, 11 and 3? (a) 9 (b) 8 (c) 10 (d) 11
34. 34.The mean of 9 numbers is 20. When the number 50 is added to them, what is the new mean? (a) 20 (b) 23 (c) 24 (d) 35
35. 35.What is the mean of 7, 18, 17, 3, 4 and 5? (a) 10 (b) 11 (c) 9 (d) 8
36. 36.What is the median of 13, 17, 5, 4, 25, 19 and 7? (a) 4 (b) 13 (c) 17 (d) 7
37. 37.What is the median of 22, 19, 34, 24 and 16? (a) 34 (b) 23 (c) 24 (d) 22
38. 38.What is the mean of 18, 9, 18 and 7? (a) 14 (b) 15 (c) 13 (d) 12
39. 39.The mean of 4 numbers is 35. When the number 15 is added to them, what is the new mean? (a) 35 (b) 25 (c) 31 (d) 32
40. 40.The mean of 6 numbers is 32. When the number 18 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 25

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