Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 873 · 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 1, 7, 39, 30, 37, 10 and 34? (a) 31 (b) 34 (c) 10 (d) 30
2. 2.What is the mode of 2, 2, 17, 17, 18, 4 and 2? (a) 17 (b) 18 (c) 4 (d) 2
3. 3.What is the mean of 12, 2, 3, 12 and 21? (a) 11 (b) 12 (c) 10 (d) 9
4. 4.What is the mean of 12, 10, 18, 19 and 16? (a) 15 (b) 14 (c) 17 (d) 16
5. 5.What is the mean of 6, 5, 13, 5 and 21? (a) 12 (b) 9 (c) 11 (d) 10
6. 6.What is the mean of 14, 4, 3, 12, 7 and 14? (a) 8 (b) 11 (c) 9 (d) 10
7. 7.What is the mean of 18, 11, 14, 14, 7 and 14? (a) 13 (b) 15 (c) 14 (d) 12
8. 8.What is the median of 20, 30, 2, 29 and 33? (a) 2 (b) 30 (c) 20 (d) 29
9. 9.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 32 (c) 27 (d) 31
10. 10.What is the mode of 15, 18, 17, 9, 17, 17 and 9? (a) 9 (b) 17 (c) 15 (d) 18
11. 11.What is the mean of 7, 2, 10 and 13? (a) 7 (b) 9 (c) 8 (d) 10
12. 12.What is the median of 5, 35, 17, 12, 14, 34 and 31? (a) 14 (b) 12 (c) 17 (d) 31
13. 13.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 13 (b) 16 (c) 10 (d) 14
14. 14.What is the mode of 19, 20, 20, 20, 5, 19 and 2? (a) 19 (b) 5 (c) 2 (d) 20
15. 15.What is the mean of 7, 5, 3, 13 and 12? (a) 10 (b) 8 (c) 7 (d) 9
16. 16.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 23 (b) 24 (c) 26 (d) 22
17. 17.What is the mean of 6, 16, 5, 6, 9 and 12? (a) 11 (b) 9 (c) 10 (d) 8
18. 18.What is the mean of 3, 2, 4 and 7? (a) 3 (b) 6 (c) 5 (d) 4
19. 19.What is the mean of 20, 9, 4, 3, 8 and 4? (a) 7 (b) 8 (c) 10 (d) 9
20. 20.What is the median of 40, 1, 7, 36 and 3? (a) 3 (b) 8 (c) 36 (d) 7
21. 21.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 14
22. 22.What is the mode of 6, 6, 10, 6, 10, 19 and 1? (a) 10 (b) 1 (c) 6 (d) 19
23. 23.What is the mode of 12, 12, 7, 7, 14, 7 and 2? (a) 2 (b) 12 (c) 7 (d) 14
24. 24.What is the mode of 1, 17, 5, 17, 1, 1 and 13? (a) 13 (b) 1 (c) 5 (d) 17
25. 25.What is the mean of 3, 9, 13 and 23? (a) 16 (b) 13 (c) 11 (d) 12
26. 26.What is the mode of 9, 14, 4, 14, 4, 4 and 11? (a) 9 (b) 11 (c) 14 (d) 4
27. 27.What is the median of 17, 28, 19, 29 and 22? (a) 19 (b) 23 (c) 22 (d) 28
28. 28.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 30 (b) 33 (c) 29 (d) 19
29. 29.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 19
30. 30.What is the median of 11, 32, 6, 13 and 23? (a) 6 (b) 17 (c) 23 (d) 13
31. 31.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 19 (b) 14 (c) 22 (d) 18
32. 32.What is the median of 8, 25, 33, 22, 17, 37 and 18? (a) 22 (b) 25 (c) 18 (d) 23
33. 33.What is the mode of 16, 8, 15, 15, 16, 6 and 16? (a) 8 (b) 6 (c) 16 (d) 15
34. 34.What is the mode of 19, 14, 19, 2, 19, 15 and 14? (a) 15 (b) 2 (c) 14 (d) 19
35. 35.What is the median of 10, 3, 20, 8 and 23? (a) 11 (b) 8 (c) 10 (d) 20
36. 36.What is the median of 7, 23, 15, 10, 31, 38 and 30? (a) 30 (b) 23 (c) 22 (d) 10
37. 37.What is the mode of 3, 6, 7, 7, 9, 9 and 9? (a) 6 (b) 3 (c) 9 (d) 7
38. 38.What is the mode of 15, 7, 15, 15, 4, 4 and 14? (a) 14 (b) 4 (c) 15 (d) 7
39. 39.What is the mean of 13, 20, 7, 2 and 23? (a) 13 (b) 15 (c) 14 (d) 12
40. 40.What is the mean of 12, 20, 7, 20, 3 and 16? (a) 12 (b) 14 (c) 15 (d) 13

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