Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 537 · 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 3 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 19
2. 2.What is the mean of 7, 2, 18, 20, 6 and 13? (a) 13 (b) 10 (c) 11 (d) 12
3. 3.What is the mean of 14, 6, 15, 7, 6 and 12? (a) 11 (b) 12 (c) 10 (d) 9
4. 4.What is the median of 24, 11, 39, 37, 9, 15 and 32? (a) 15 (b) 37 (c) 32 (d) 24
5. 5.What is the median of 3, 14, 13, 36, 10, 31 and 17? (a) 17 (b) 36 (c) 13 (d) 14
6. 6.What is the mean of 17, 15, 4, 20, 2 and 8? (a) 11 (b) 13 (c) 12 (d) 10
7. 7.What is the mean of 9, 11, 10, 9, 3 and 18? (a) 9 (b) 12 (c) 10 (d) 11
8. 8.What is the mode of 17, 17, 12, 8, 17, 12 and 3? (a) 17 (b) 8 (c) 3 (d) 12
9. 9.What is the mean of 17, 8, 5, 11, 17 and 14? (a) 11 (b) 13 (c) 14 (d) 12
10. 10.What is the median of 10, 2, 6, 40 and 38? (a) 11 (b) 10 (c) 38 (d) 6
11. 11.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 30
12. 12.What is the mode of 8, 3, 13, 17, 8, 3 and 8? (a) 13 (b) 17 (c) 8 (d) 3
13. 13.What is the mean of 12, 6, 16, 18, 18 and 2? (a) 11 (b) 14 (c) 12 (d) 13
14. 14.What is the mode of 10, 10, 16, 10, 8, 1 and 1? (a) 16 (b) 1 (c) 8 (d) 10
15. 15.The mean of 4 numbers is 21. When the number 6 is added to them, what is the new mean? (a) 18 (b) 21 (c) 17 (d) 19
16. 16.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 37 (b) 39 (c) 36 (d) 35
17. 17.What is the mean of 15, 6, 14, 20, 11 and 6? (a) 12 (b) 14 (c) 13 (d) 11
18. 18.What is the mean of 19, 17, 19, 19, 20 and 14? (a) 17 (b) 19 (c) 20 (d) 18
19. 19.What is the mode of 6, 15, 15, 8, 17, 17 and 17? (a) 17 (b) 6 (c) 15 (d) 8
20. 20.What is the mode of 4, 4, 6, 16, 16, 4 and 2? (a) 16 (b) 2 (c) 4 (d) 6
21. 21.What is the mean of 8, 7, 16, 12, 16 and 19? (a) 14 (b) 15 (c) 12 (d) 13
22. 22.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 14
23. 23.What is the median of 20, 10, 19, 27, 15, 6 and 17? (a) 19 (b) 15 (c) 27 (d) 17
24. 24.What is the mode of 10, 16, 16, 16, 3, 3 and 12? (a) 16 (b) 12 (c) 10 (d) 3
25. 25.The mean of 5 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 24 (b) 26 (c) 20 (d) 25
26. 26.What is the mode of 16, 1, 5, 11, 16, 16 and 5? (a) 16 (b) 5 (c) 11 (d) 1
27. 27.What is the median of 20, 17, 10, 34 and 4? (a) 17 (b) 18 (c) 20 (d) 10
28. 28.What is the median of 6, 21, 15, 22 and 19? (a) 15 (b) 19 (c) 21 (d) 20
29. 29.What is the median of 23, 34, 2, 39 and 37? (a) 37 (b) 34 (c) 2 (d) 27
30. 30.What is the median of 10, 31, 22, 18, 12, 2 and 38? (a) 22 (b) 12 (c) 19 (d) 18
31. 31.What is the median of 3, 21, 2, 19, 30, 32 and 22? (a) 19 (b) 22 (c) 20 (d) 21
32. 32.What is the mean of 11, 12, 6, 18, 20 and 17? (a) 14 (b) 12 (c) 13 (d) 15
33. 33.The mean of 5 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 20 (b) 27 (c) 26 (d) 29
34. 34.What is the mode of 8, 16, 17, 8, 17, 8 and 15? (a) 16 (b) 17 (c) 8 (d) 15
35. 35.What is the median of 28, 26, 5, 10 and 2? (a) 26 (b) 11 (c) 10 (d) 5
36. 36.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 38 (b) 31 (c) 30 (d) 28
37. 37.What is the mode of 4, 20, 4, 20, 17, 18 and 4? (a) 17 (b) 4 (c) 20 (d) 18
38. 38.What is the median of 32, 23, 8, 30, 3, 12 and 39? (a) 23 (b) 21 (c) 30 (d) 12
39. 39.What is the mean of 8, 4, 11, 7 and 15? (a) 11 (b) 8 (c) 9 (d) 10
40. 40.What is the median of 31, 21, 3, 5 and 19? (a) 21 (b) 19 (c) 3 (d) 5

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