Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 127 · 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 7, 18, 20, 13, 13, 13 and 18? (a) 7 (b) 13 (c) 18 (d) 20
2. 2.What is the mean of 2, 2, 6, 15 and 20? (a) 8 (b) 11 (c) 10 (d) 9
3. 3.What is the mode of 18, 11, 18, 3, 11, 11 and 1? (a) 18 (b) 11 (c) 1 (d) 3
4. 4.What is the mode of 12, 6, 14, 14, 14, 5 and 6? (a) 6 (b) 5 (c) 12 (d) 14
5. 5.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 38
6. 6.What is the mean of 5, 5, 4, 12, 3 and 19? (a) 9 (b) 7 (c) 10 (d) 8
7. 7.What is the mean of 14, 16, 15 and 3? (a) 16 (b) 13 (c) 12 (d) 11
8. 8.What is the median of 31, 22, 16, 1, 23, 14 and 25? (a) 1 (b) 23 (c) 22 (d) 16
9. 9.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 16 (b) 15 (c) 9 (d) 14
10. 10.What is the median of 38, 15, 32, 39 and 23? (a) 38 (b) 23 (c) 33 (d) 32
11. 11.What is the mode of 13, 17, 17, 13, 12, 13 and 4? (a) 17 (b) 4 (c) 12 (d) 13
12. 12.The mean of 6 numbers is 21. When the number 35 is added to them, what is the new mean? (a) 21 (b) 24 (c) 28 (d) 23
13. 13.What is the mean of 12, 12, 17, 3 and 6? (a) 9 (b) 10 (c) 12 (d) 11
14. 14.What is the mode of 2, 10, 5, 14, 5, 5 and 2? (a) 2 (b) 14 (c) 10 (d) 5
15. 15.What is the mean of 12, 16, 20, 9, 4 and 5? (a) 13 (b) 10 (c) 12 (d) 11
16. 16.The mean of 9 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 24 (b) 16 (c) 26 (d) 25
17. 17.What is the mean of 7, 17, 8 and 20? (a) 14 (b) 12 (c) 13 (d) 15
18. 18.What is the mean of 19, 16, 20 and 21? (a) 18 (b) 20 (c) 21 (d) 19
19. 19.What is the mean of 10, 15, 14 and 17? (a) 13 (b) 14 (c) 15 (d) 16
20. 20.What is the median of 7, 24, 6, 36 and 29? (a) 7 (b) 6 (c) 29 (d) 24
21. 21.What is the mean of 3, 6, 7, 5, 15 and 18? (a) 10 (b) 8 (c) 9 (d) 11
22. 22.The mean of 7 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 39 (b) 47 (c) 42 (d) 41
23. 23.What is the mean of 10, 7, 6, 7 and 15? (a) 8 (b) 11 (c) 10 (d) 9
24. 24.What is the mode of 15, 4, 16, 16, 4, 8 and 4? (a) 16 (b) 8 (c) 15 (d) 4
25. 25.What is the mean of 7, 14, 16, 9, 15 and 11? (a) 14 (b) 11 (c) 13 (d) 12
26. 26.What is the mean of 9, 16, 4, 16, 5 and 16? (a) 13 (b) 12 (c) 10 (d) 11
27. 27.What is the mean of 18, 17, 5, 4 and 16? (a) 12 (b) 13 (c) 15 (d) 10
28. 28.What is the mean of 13, 4, 13, 3 and 17? (a) 10 (b) 12 (c) 11 (d) 9
29. 29.What is the mode of 8, 8, 16, 8, 20, 16 and 2? (a) 16 (b) 2 (c) 20 (d) 8
30. 30.What is the mode of 14, 3, 3, 18, 19, 14 and 3? (a) 18 (b) 3 (c) 19 (d) 14
31. 31.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 15
32. 32.What is the mean of 17, 14, 20 and 13? (a) 17 (b) 16 (c) 18 (d) 15
33. 33.What is the median of 16, 18, 38, 1 and 6? (a) 18 (b) 38 (c) 6 (d) 16
34. 34.What is the mode of 5, 9, 13, 9, 5, 9 and 15? (a) 9 (b) 5 (c) 13 (d) 15
35. 35.What is the mean of 3, 13, 11, 16 and 22? (a) 15 (b) 14 (c) 13 (d) 12
36. 36.What is the median of 14, 7, 12, 13, 1, 9 and 23? (a) 13 (b) 9 (c) 11 (d) 12
37. 37.What is the mean of 18, 4, 10, 19 and 9? (a) 12 (b) 15 (c) 10 (d) 13
38. 38.What is the median of 40, 25, 5, 11, 10, 8 and 15? (a) 15 (b) 11 (c) 12 (d) 10
39. 39.What is the mean of 3, 9, 7, 11, 13 and 5? (a) 8 (b) 7 (c) 9 (d) 10
40. 40.What is the median of 11, 12, 7, 17 and 20? (a) 11 (b) 7 (c) 12 (d) 17

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