Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 110 · 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 19, 2, 11, 18 and 23? (a) 11 (b) 19 (c) 17 (d) 18
2. 2.What is the mean of 4, 5, 7, 14, 2 and 16? (a) 9 (b) 10 (c) 7 (d) 8
3. 3.What is the mode of 9, 9, 3, 20, 20, 2 and 9? (a) 2 (b) 20 (c) 3 (d) 9
4. 4.What is the mean of 2, 13, 4 and 13? (a) 10 (b) 7 (c) 8 (d) 9
5. 5.The mean of 7 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 20 (b) 26 (c) 27 (d) 28
6. 6.The mean of 5 numbers is 19. When the number 13 is added to them, what is the new mean? (a) 19 (b) 16 (c) 18 (d) 17
7. 7.What is the mean of 12, 12, 20, 4 and 12? (a) 10 (b) 13 (c) 15 (d) 12
8. 8.What is the mode of 1, 16, 1, 1, 14, 12 and 14? (a) 14 (b) 1 (c) 16 (d) 12
9. 9.What is the mode of 12, 11, 6, 11, 14, 6 and 6? (a) 12 (b) 11 (c) 6 (d) 14
10. 10.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 20 (b) 21 (c) 16 (d) 19
11. 11.What is the median of 15, 8, 35, 32 and 9? (a) 9 (b) 32 (c) 35 (d) 15
12. 12.What is the mode of 3, 17, 17, 13, 3, 19 and 3? (a) 19 (b) 13 (c) 17 (d) 3
13. 13.The mean of 4 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 10 (b) 13 (c) 15 (d) 14
14. 14.The mean of 8 numbers is 39. When the number 3 is added to them, what is the new mean? (a) 36 (b) 21 (c) 35 (d) 39
15. 15.What is the mean of 13, 7, 19 and 21? (a) 15 (b) 20 (c) 16 (d) 12
16. 16.What is the median of 21, 2, 38, 5, 24, 30 and 8? (a) 5 (b) 8 (c) 24 (d) 21
17. 17.What is the mode of 13, 4, 15, 9, 9, 9 and 13? (a) 13 (b) 9 (c) 15 (d) 4
18. 18.What is the mean of 18, 18, 6, 17 and 6? (a) 12 (b) 13 (c) 14 (d) 15
19. 19.What is the mean of 5, 18, 4 and 9? (a) 8 (b) 9 (c) 10 (d) 12
20. 20.What is the mode of 4, 11, 5, 9, 11, 4 and 4? (a) 4 (b) 5 (c) 11 (d) 9
21. 21.What is the mode of 13, 14, 4, 4, 10, 14 and 4? (a) 14 (b) 13 (c) 4 (d) 10
22. 22.What is the median of 30, 40, 34, 10, 4, 13 and 8? (a) 30 (b) 10 (c) 14 (d) 13
23. 23.What is the mean of 3, 6, 14 and 5? (a) 6 (b) 7 (c) 8 (d) 9
24. 24.What is the mean of 19, 11, 3 and 19? (a) 14 (b) 15 (c) 13 (d) 12
25. 25.What is the mean of 11, 5, 8, 19, 12 and 23? (a) 14 (b) 12 (c) 15 (d) 13
26. 26.What is the mode of 5, 7, 17, 17, 5, 2 and 5? (a) 2 (b) 7 (c) 17 (d) 5
27. 27.What is the mean of 12, 16, 15, 10, 2 and 11? (a) 10 (b) 13 (c) 12 (d) 11
28. 28.What is the mean of 17, 12, 7, 17 and 22? (a) 17 (b) 16 (c) 14 (d) 15
29. 29.What is the mode of 6, 6, 7, 3, 8, 3 and 3? (a) 7 (b) 8 (c) 3 (d) 6
30. 30.What is the median of 27, 22, 10, 15, 12, 16 and 31? (a) 19 (b) 15 (c) 22 (d) 16
31. 31.What is the mode of 11, 14, 18, 20, 11, 11 and 18? (a) 11 (b) 20 (c) 18 (d) 14
32. 32.What is the mean of 2, 12, 19 and 19? (a) 12 (b) 13 (c) 15 (d) 14
33. 33.What is the mean of 3, 5, 19, 8, 6 and 13? (a) 8 (b) 10 (c) 11 (d) 9
34. 34.What is the mean of 20, 19, 19 and 6? (a) 17 (b) 18 (c) 15 (d) 16
35. 35.What is the median of 18, 22, 10, 8 and 38? (a) 18 (b) 22 (c) 10 (d) 19
36. 36.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 24 (b) 27 (c) 25 (d) 23
37. 37.What is the median of 18, 25, 39, 17 and 1? (a) 25 (b) 39 (c) 18 (d) 20
38. 38.What is the mean of 18, 16, 7, 16, 10 and 11? (a) 12 (b) 14 (c) 15 (d) 13
39. 39.What is the median of 15, 23, 19, 34 and 12? (a) 19 (b) 15 (c) 20 (d) 23
40. 40.What is the mode of 6, 1, 13, 12, 12, 12 and 13? (a) 13 (b) 12 (c) 1 (d) 6

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