Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 529 · 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 7 numbers is 40. When the number 72 is added to them, what is the new mean? (a) 44 (b) 56 (c) 45 (d) 40
2. 2.What is the mode of 13, 13, 17, 9, 7, 7 and 13? (a) 7 (b) 13 (c) 17 (d) 9
3. 3.What is the mean of 5, 6, 12 and 17? (a) 10 (b) 9 (c) 8 (d) 11
4. 4.What is the median of 14, 10, 8, 5 and 9? (a) 11 (b) 10 (c) 8 (d) 9
5. 5.What is the mean of 7, 6, 19 and 8? (a) 11 (b) 10 (c) 8 (d) 9
6. 6.What is the mode of 19, 13, 10, 13, 17, 19 and 19? (a) 19 (b) 17 (c) 13 (d) 10
7. 7.The mean of 6 numbers is 38. When the number 59 is added to them, what is the new mean? (a) 41 (b) 42 (c) 40 (d) 38
8. 8.What is the mean of 19, 18, 15, 10, 16 and 12? (a) 16 (b) 14 (c) 18 (d) 15
9. 9.What is the mean of 11, 9, 2 and 22? (a) 12 (b) 11 (c) 10 (d) 13
10. 10.What is the mode of 15, 15, 19, 19, 6, 15 and 1? (a) 1 (b) 15 (c) 6 (d) 19
11. 11.What is the mode of 10, 5, 20, 20, 20, 13 and 10? (a) 20 (b) 13 (c) 10 (d) 5
12. 12.What is the mode of 8, 19, 10, 19, 19, 8 and 5? (a) 8 (b) 5 (c) 10 (d) 19
13. 13.What is the mode of 15, 20, 20, 8, 15, 15 and 4? (a) 15 (b) 4 (c) 8 (d) 20
14. 14.What is the median of 40, 25, 16, 13 and 10? (a) 16 (b) 25 (c) 13 (d) 17
15. 15.What is the mode of 14, 1, 1, 14, 14, 10 and 9? (a) 14 (b) 10 (c) 1 (d) 9
16. 16.What is the mean of 18, 6, 12 and 16? (a) 12 (b) 15 (c) 14 (d) 13
17. 17.What is the mode of 2, 18, 18, 17, 2, 18 and 9? (a) 2 (b) 9 (c) 18 (d) 17
18. 18.What is the mode of 19, 11, 14, 14, 11, 8 and 11? (a) 11 (b) 14 (c) 19 (d) 8
19. 19.What is the mean of 12, 7, 4, 13, 13 and 23? (a) 12 (b) 14 (c) 13 (d) 11
20. 20.The mean of 3 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 38 (b) 35 (c) 30 (d) 34
21. 21.The mean of 5 numbers is 33. When the number 27 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
22. 22.What is the median of 11, 28, 30, 20, 39, 22 and 35? (a) 30 (b) 20 (c) 28 (d) 22
23. 23.What is the mean of 8, 9, 15 and 4? (a) 10 (b) 8 (c) 12 (d) 9
24. 24.What is the mean of 18, 16, 4, 14, 2 and 6? (a) 9 (b) 10 (c) 12 (d) 11
25. 25.What is the mean of 4, 16, 19, 4 and 12? (a) 13 (b) 11 (c) 12 (d) 10
26. 26.What is the mean of 14, 2, 7 and 5? (a) 9 (b) 8 (c) 7 (d) 6
27. 27.What is the median of 25, 31, 3, 26 and 10? (a) 25 (b) 3 (c) 26 (d) 19
28. 28.What is the mode of 16, 12, 7, 9, 9, 7 and 7? (a) 12 (b) 9 (c) 16 (d) 7
29. 29.What is the mean of 10, 4, 11 and 7? (a) 7 (b) 9 (c) 10 (d) 8
30. 30.What is the median of 11, 2, 4, 9, 18, 37 and 19? (a) 11 (b) 12 (c) 18 (d) 9
31. 31.What is the mean of 8, 8, 20, 4 and 10? (a) 11 (b) 12 (c) 9 (d) 10
32. 32.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 35
33. 33.What is the mean of 17, 12, 9, 13, 20 and 7? (a) 15 (b) 14 (c) 12 (d) 13
34. 34.What is the median of 18, 9, 1, 25, 10, 40 and 4? (a) 18 (b) 10 (c) 9 (d) 25
35. 35.What is the mean of 5, 4, 14 and 5? (a) 9 (b) 7 (c) 6 (d) 8
36. 36.What is the mean of 16, 19, 20, 6, 19 and 16? (a) 15 (b) 17 (c) 18 (d) 16
37. 37.What is the mode of 15, 11, 7, 11, 13, 7 and 11? (a) 13 (b) 7 (c) 11 (d) 15
38. 38.What is the median of 14, 20, 24, 30 and 9? (a) 20 (b) 14 (c) 21 (d) 24
39. 39.What is the mean of 19, 16, 14, 19, 16 and 18? (a) 18 (b) 19 (c) 17 (d) 16
40. 40.What is the mode of 8, 14, 14, 4, 8, 8 and 1? (a) 1 (b) 4 (c) 8 (d) 14

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