Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 102 · 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 21, 24, 6, 7, 26, 32 and 40? (a) 26 (b) 7 (c) 24 (d) 21
2. 2.What is the mean of 4, 20, 5, 5 and 6? (a) 7 (b) 10 (c) 8 (d) 9
3. 3.What is the mean of 13, 15, 6, 14 and 2? (a) 11 (b) 10 (c) 12 (d) 9
4. 4.What is the mode of 2, 2, 4, 5, 16, 4 and 2? (a) 4 (b) 16 (c) 5 (d) 2
5. 5.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 33 (b) 31 (c) 30 (d) 32
6. 6.What is the mean of 7, 12, 20, 18 and 18? (a) 17 (b) 14 (c) 15 (d) 16
7. 7.What is the median of 23, 22, 26, 18, 14, 37 and 40? (a) 26 (b) 22 (c) 23 (d) 18
8. 8.What is the mean of 7, 12, 13, 2 and 16? (a) 10 (b) 11 (c) 12 (d) 9
9. 9.The mean of 6 numbers is 37. When the number 65 is added to them, what is the new mean? (a) 42 (b) 51 (c) 41 (d) 37
10. 10.What is the mean of 5, 8, 6, 8 and 13? (a) 7 (b) 8 (c) 9 (d) 10
11. 11.What is the mode of 4, 4, 2, 4, 1, 16 and 16? (a) 16 (b) 1 (c) 4 (d) 2
12. 12.What is the mode of 2, 7, 7, 16, 8, 16 and 16? (a) 16 (b) 8 (c) 7 (d) 2
13. 13.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 15 (b) 17 (c) 14 (d) 16
14. 14.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 21 (b) 23 (c) 14 (d) 22
15. 15.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 21 (b) 26 (c) 25 (d) 29
16. 16.What is the mode of 17, 14, 9, 17, 14, 6 and 14? (a) 9 (b) 14 (c) 6 (d) 17
17. 17.What is the median of 40, 20, 7, 6, 19, 2 and 30? (a) 6 (b) 20 (c) 19 (d) 7
18. 18.What is the median of 26, 16, 13, 10, 18, 15 and 17? (a) 16 (b) 15 (c) 17 (d) 10
19. 19.What is the median of 5, 33, 29, 16, 4, 39 and 38? (a) 30 (b) 16 (c) 33 (d) 29
20. 20.What is the mean of 13, 13, 5, 8, 5 and 16? (a) 11 (b) 10 (c) 12 (d) 9
21. 21.What is the median of 3, 40, 29, 22, 6, 34 and 19? (a) 23 (b) 29 (c) 19 (d) 22
22. 22.The mean of 8 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 27 (b) 29 (c) 36 (d) 30
23. 23.What is the mean of 12, 17, 13, 3, 6 and 9? (a) 10 (b) 12 (c) 9 (d) 11
24. 24.What is the median of 3, 15, 19, 18 and 5? (a) 18 (b) 19 (c) 12 (d) 15
25. 25.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 13 (b) 9 (c) 11 (d) 12
26. 26.What is the median of 7, 30, 21, 36 and 24? (a) 30 (b) 21 (c) 25 (d) 24
27. 27.What is the mode of 7, 8, 14, 8, 9, 7 and 8? (a) 7 (b) 14 (c) 8 (d) 9
28. 28.What is the median of 5, 31, 2, 18, 32, 21 and 15? (a) 21 (b) 19 (c) 15 (d) 18
29. 29.What is the mode of 2, 2, 6, 6, 14, 17 and 6? (a) 6 (b) 14 (c) 2 (d) 17
30. 30.What is the median of 39, 24, 4, 3 and 10? (a) 24 (b) 10 (c) 16 (d) 4
31. 31.What is the mode of 4, 4, 4, 12, 13, 20 and 12? (a) 4 (b) 20 (c) 13 (d) 12
32. 32.The mean of 5 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 39 (b) 38 (c) 34 (d) 46
33. 33.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 27 (c) 29 (d) 28
34. 34.What is the median of 9, 1, 33, 20, 6, 26 and 25? (a) 20 (b) 25 (c) 9 (d) 21
35. 35.What is the mean of 11, 20, 11, 10, 6 and 2? (a) 12 (b) 9 (c) 11 (d) 10
36. 36.What is the median of 15, 7, 25, 36 and 5? (a) 7 (b) 25 (c) 16 (d) 15
37. 37.What is the median of 36, 23, 32, 37, 3, 11 and 35? (a) 37 (b) 32 (c) 35 (d) 23
38. 38.What is the mode of 17, 3, 3, 17, 5, 12 and 17? (a) 5 (b) 17 (c) 12 (d) 3
39. 39.What is the mode of 8, 3, 6, 6, 8, 6 and 20? (a) 20 (b) 3 (c) 8 (d) 6
40. 40.What is the mean of 17, 9, 19 and 19? (a) 17 (b) 18 (c) 15 (d) 16

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