Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 128 · 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.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 14
2. 2.What is the median of 29, 31, 38, 36, 13, 11 and 18? (a) 31 (b) 36 (c) 18 (d) 29
3. 3.What is the mean of 8, 11, 4, 3, 3 and 13? (a) 9 (b) 8 (c) 6 (d) 7
4. 4.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 36 (b) 20 (c) 21 (d) 16
5. 5.What is the mode of 12, 19, 2, 10, 2, 2 and 19? (a) 12 (b) 2 (c) 19 (d) 10
6. 6.What is the mean of 14, 5, 13, 7 and 11? (a) 10 (b) 9 (c) 12 (d) 11
7. 7.What is the mean of 5, 8, 6, 3, 12 and 14? (a) 10 (b) 7 (c) 8 (d) 9
8. 8.What is the median of 10, 27, 40, 2 and 23? (a) 27 (b) 40 (c) 23 (d) 10
9. 9.What is the median of 13, 40, 37, 34, 33, 10 and 31? (a) 31 (b) 34 (c) 32 (d) 33
10. 10.What is the median of 32, 31, 11, 18 and 33? (a) 25 (b) 32 (c) 31 (d) 11
11. 11.The mean of 8 numbers is 36. When the number 27 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 37
12. 12.What is the mode of 2, 4, 14, 5, 5, 5 and 4? (a) 4 (b) 5 (c) 14 (d) 2
13. 13.What is the median of 35, 21, 10, 29, 13, 16 and 15? (a) 21 (b) 29 (c) 16 (d) 15
14. 14.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 13
15. 15.What is the median of 6, 35, 21, 2, 17, 23 and 15? (a) 21 (b) 2 (c) 15 (d) 17
16. 16.What is the median of 23, 38, 8, 17 and 20? (a) 17 (b) 8 (c) 23 (d) 20
17. 17.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 39 (b) 41 (c) 42 (d) 40
18. 18.What is the mean of 2, 15, 9, 15 and 4? (a) 10 (b) 8 (c) 11 (d) 9
19. 19.What is the mode of 13, 13, 9, 4, 6, 13 and 4? (a) 6 (b) 9 (c) 4 (d) 13
20. 20.What is the median of 1, 4, 2, 30 and 23? (a) 4 (b) 23 (c) 2 (d) 12
21. 21.What is the median of 3, 32, 2, 9, 15, 19 and 24? (a) 9 (b) 19 (c) 15 (d) 16
22. 22.What is the mean of 2, 2, 12, 2 and 7? (a) 6 (b) 5 (c) 7 (d) 4
23. 23.What is the median of 16, 38, 25, 2 and 26? (a) 16 (b) 24 (c) 26 (d) 25
24. 24.What is the mean of 16, 2, 19, 4, 14 and 5? (a) 11 (b) 9 (c) 12 (d) 10
25. 25.What is the mean of 15, 2, 8, 3 and 7? (a) 6 (b) 7 (c) 9 (d) 8
26. 26.What is the median of 9, 24, 17, 10, 8, 31 and 25? (a) 24 (b) 10 (c) 17 (d) 18
27. 27.What is the mean of 3, 14, 5 and 2? (a) 5 (b) 6 (c) 8 (d) 7
28. 28.What is the mode of 18, 8, 8, 20, 8, 3 and 3? (a) 18 (b) 3 (c) 20 (d) 8
29. 29.What is the median of 11, 1, 10, 38 and 20? (a) 11 (b) 20 (c) 10 (d) 16
30. 30.What is the mean of 15, 2, 12, 5, 7 and 19? (a) 12 (b) 9 (c) 11 (d) 10
31. 31.What is the mean of 8, 2, 9 and 9? (a) 8 (b) 9 (c) 6 (d) 7
32. 32.What is the median of 34, 29, 11, 5, 12, 13 and 22? (a) 5 (b) 22 (c) 18 (d) 13
33. 33.What is the median of 19, 18, 39, 32 and 30? (a) 39 (b) 30 (c) 32 (d) 19
34. 34.What is the mode of 15, 3, 2, 2, 12, 15 and 2? (a) 2 (b) 12 (c) 3 (d) 15
35. 35.What is the mode of 5, 13, 5, 5, 12, 13 and 14? (a) 12 (b) 14 (c) 13 (d) 5
36. 36.What is the mean of 8, 9, 11, 18, 14 and 6? (a) 13 (b) 12 (c) 11 (d) 10
37. 37.What is the mode of 6, 4, 10, 6, 2, 6 and 2? (a) 10 (b) 6 (c) 4 (d) 2
38. 38.The mean of 8 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 32 (b) 35 (c) 41 (d) 34
39. 39.The mean of 4 numbers is 17. When the number 12 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 16
40. 40.What is the median of 28, 4, 23, 9 and 32? (a) 24 (b) 28 (c) 23 (d) 9

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