Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 330 · 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 median of 37, 18, 12, 17, 19, 38 and 21? (a) 17 (b) 18 (c) 21 (d) 19
2. 2.What is the mode of 8, 12, 7, 12, 11, 7 and 7? (a) 11 (b) 8 (c) 7 (d) 12
3. 3.What is the mode of 16, 15, 8, 8, 15, 15 and 6? (a) 16 (b) 6 (c) 15 (d) 8
4. 4.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 43 (b) 28 (c) 32 (d) 31
5. 5.What is the mean of 13, 12, 19, 8 and 23? (a) 14 (b) 15 (c) 17 (d) 16
6. 6.What is the mean of 8, 15, 17, 11 and 9? (a) 10 (b) 15 (c) 13 (d) 12
7. 7.What is the mode of 15, 8, 8, 19, 8, 15 and 1? (a) 1 (b) 8 (c) 19 (d) 15
8. 8.What is the mode of 11, 11, 10, 8, 14, 10 and 10? (a) 14 (b) 10 (c) 8 (d) 11
9. 9.What is the median of 10, 6, 4, 37 and 7? (a) 6 (b) 4 (c) 10 (d) 7
10. 10.What is the mean of 3, 4, 17, 19, 6 and 17? (a) 12 (b) 13 (c) 11 (d) 10
11. 11.What is the mean of 9, 5, 8, 8 and 20? (a) 12 (b) 11 (c) 9 (d) 10
12. 12.What is the mean of 16, 10, 20, 6 and 13? (a) 13 (b) 15 (c) 14 (d) 12
13. 13.The mean of 9 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 29 (b) 26 (c) 25 (d) 24
14. 14.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 19
15. 15.What is the mean of 9, 12, 10, 2 and 17? (a) 11 (b) 10 (c) 12 (d) 9
16. 16.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 33
17. 17.What is the mode of 12, 19, 13, 18, 18, 19 and 18? (a) 18 (b) 19 (c) 12 (d) 13
18. 18.What is the mode of 1, 4, 16, 14, 4, 4 and 16? (a) 16 (b) 1 (c) 14 (d) 4
19. 19.What is the mode of 20, 3, 3, 7, 16, 7 and 3? (a) 20 (b) 7 (c) 3 (d) 16
20. 20.What is the mean of 11, 3, 7, 20, 11 and 14? (a) 11 (b) 10 (c) 12 (d) 13
21. 21.What is the mean of 17, 10, 5, 17, 3 and 2? (a) 10 (b) 11 (c) 9 (d) 8
22. 22.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 20 (b) 15 (c) 25 (d) 19
23. 23.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 17 (c) 12 (d) 16
24. 24.What is the median of 1, 26, 5, 7, 30, 28 and 3? (a) 5 (b) 7 (c) 26 (d) 8
25. 25.What is the mode of 4, 6, 4, 15, 9, 15 and 4? (a) 9 (b) 4 (c) 15 (d) 6
26. 26.What is the median of 20, 26, 15, 3, 36, 22 and 32? (a) 3 (b) 26 (c) 22 (d) 20
27. 27.The mean of 8 numbers is 26. When the number 53 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 26
28. 28.The mean of 7 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 25 (b) 33 (c) 21 (d) 24
29. 29.What is the mode of 5, 15, 6, 3, 15, 15 and 3? (a) 6 (b) 3 (c) 15 (d) 5
30. 30.What is the mean of 4, 3, 12 and 9? (a) 8 (b) 7 (c) 6 (d) 9
31. 31.What is the median of 1, 19, 14, 6 and 13? (a) 14 (b) 12 (c) 6 (d) 13
32. 32.What is the mode of 3, 2, 3, 2, 3, 4 and 5? (a) 2 (b) 4 (c) 3 (d) 5
33. 33.What is the mode of 14, 4, 11, 11, 15, 15 and 15? (a) 4 (b) 14 (c) 15 (d) 11
34. 34.What is the median of 4, 25, 26, 3 and 29? (a) 4 (b) 25 (c) 24 (d) 26
35. 35.What is the median of 13, 33, 25, 3 and 14? (a) 15 (b) 25 (c) 13 (d) 14
36. 36.What is the mean of 3, 5, 12, 8 and 7? (a) 7 (b) 8 (c) 6 (d) 9
37. 37.What is the mode of 17, 19, 17, 15, 19, 18 and 17? (a) 18 (b) 19 (c) 15 (d) 17
38. 38.What is the mode of 13, 17, 20, 20, 7, 20 and 7? (a) 20 (b) 7 (c) 17 (d) 13
39. 39.What is the mode of 1, 16, 9, 16, 15, 15 and 16? (a) 9 (b) 16 (c) 15 (d) 1
40. 40.What is the median of 38, 5, 3, 27 and 37? (a) 27 (b) 22 (c) 3 (d) 37

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