Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 562 · 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 32, 4, 33, 11, 17, 9 and 22? (a) 17 (b) 22 (c) 18 (d) 11
2. 2.What is the median of 12, 26, 35, 28 and 24? (a) 28 (b) 26 (c) 25 (d) 35
3. 3.What is the mean of 7, 6, 5, 8, 6 and 4? (a) 6 (b) 7 (c) 8 (d) 5
4. 4.What is the mean of 19, 5, 12, 8 and 16? (a) 15 (b) 12 (c) 10 (d) 13
5. 5.What is the median of 40, 23, 39, 30, 6, 9 and 8? (a) 30 (b) 9 (c) 24 (d) 23
6. 6.What is the median of 17, 14, 34, 7 and 19? (a) 17 (b) 19 (c) 14 (d) 34
7. 7.The mean of 9 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 40 (b) 45 (c) 42 (d) 41
8. 8.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 8 (b) 10 (c) 12 (d) 11
9. 9.The mean of 9 numbers is 34. When the number 64 is added to them, what is the new mean? (a) 37 (b) 34 (c) 49 (d) 38
10. 10.What is the mode of 9, 9, 4, 6, 12, 6 and 6? (a) 6 (b) 12 (c) 9 (d) 4
11. 11.What is the median of 12, 34, 5, 3 and 32? (a) 5 (b) 32 (c) 13 (d) 12
12. 12.What is the mean of 12, 18, 13 and 9? (a) 15 (b) 13 (c) 12 (d) 14
13. 13.What is the mode of 11, 10, 1, 11, 16, 10 and 11? (a) 1 (b) 10 (c) 11 (d) 16
14. 14.What is the mean of 15, 18, 5, 14, 15 and 17? (a) 15 (b) 13 (c) 14 (d) 12
15. 15.What is the mean of 17, 3, 15 and 17? (a) 14 (b) 15 (c) 13 (d) 12
16. 16.What is the mean of 20, 10, 12, 3, 7 and 14? (a) 10 (b) 12 (c) 11 (d) 13
17. 17.What is the median of 19, 25, 32, 37 and 31? (a) 25 (b) 32 (c) 30 (d) 31
18. 18.What is the median of 22, 14, 9, 21, 34, 35 and 5? (a) 20 (b) 14 (c) 21 (d) 22
19. 19.What is the mode of 18, 8, 14, 18, 18, 9 and 8? (a) 14 (b) 9 (c) 8 (d) 18
20. 20.What is the mean of 4, 20, 7 and 21? (a) 14 (b) 15 (c) 13 (d) 12
21. 21.What is the mean of 6, 13, 2, 3 and 21? (a) 10 (b) 11 (c) 9 (d) 8
22. 22.What is the median of 25, 33, 12, 13 and 1? (a) 13 (b) 14 (c) 25 (d) 12
23. 23.What is the mean of 10, 13, 15 and 10? (a) 16 (b) 11 (c) 13 (d) 12
24. 24.What is the median of 34, 37, 38, 2, 27, 11 and 36? (a) 36 (b) 2 (c) 34 (d) 27
25. 25.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 9 (b) 10 (c) 11 (d) 7
26. 26.What is the median of 12, 8, 2, 39 and 26? (a) 8 (b) 26 (c) 2 (d) 12
27. 27.What is the median of 29, 15, 16, 34 and 21? (a) 29 (b) 21 (c) 23 (d) 16
28. 28.What is the mode of 7, 20, 6, 5, 6, 7 and 6? (a) 7 (b) 20 (c) 5 (d) 6
29. 29.What is the mode of 4, 2, 10, 19, 19, 10 and 19? (a) 10 (b) 2 (c) 4 (d) 19
30. 30.What is the mean of 14, 16, 5 and 13? (a) 13 (b) 16 (c) 11 (d) 12
31. 31.What is the mode of 3, 8, 19, 19, 1, 1 and 19? (a) 8 (b) 1 (c) 3 (d) 19
32. 32.What is the mode of 3, 9, 9, 15, 19, 9 and 19? (a) 15 (b) 19 (c) 3 (d) 9
33. 33.What is the mode of 7, 13, 18, 18, 13, 18 and 8? (a) 13 (b) 7 (c) 8 (d) 18
34. 34.What is the mode of 2, 2, 12, 9, 12, 1 and 2? (a) 9 (b) 12 (c) 2 (d) 1
35. 35.What is the mean of 13, 20, 3, 16 and 3? (a) 12 (b) 10 (c) 11 (d) 13
36. 36.What is the mean of 7, 18, 20, 15 and 10? (a) 14 (b) 16 (c) 15 (d) 13
37. 37.What is the median of 39, 31, 17, 3 and 38? (a) 17 (b) 32 (c) 38 (d) 31
38. 38.What is the mean of 2, 12, 2, 2 and 17? (a) 8 (b) 6 (c) 9 (d) 7
39. 39.The mean of 3 numbers is 34. When the number 38 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 36
40. 40.What is the median of 32, 18, 1, 27 and 39? (a) 32 (b) 1 (c) 27 (d) 18

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