Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 742 · 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 mode of 4, 17, 3, 2, 17, 2 and 2? (a) 3 (b) 2 (c) 4 (d) 17
2. 2.What is the median of 18, 25, 15, 32 and 1? (a) 15 (b) 25 (c) 18 (d) 19
3. 3.What is the mode of 13, 13, 13, 18, 3, 2 and 18? (a) 18 (b) 3 (c) 13 (d) 2
4. 4.What is the mean of 11, 10, 11, 16, 10 and 14? (a) 14 (b) 12 (c) 13 (d) 11
5. 5.What is the mean of 13, 17, 19 and 19? (a) 19 (b) 18 (c) 17 (d) 16
6. 6.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 14 (b) 19 (c) 18 (d) 24
7. 7.What is the median of 20, 27, 15, 10 and 32? (a) 15 (b) 27 (c) 21 (d) 20
8. 8.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 27 (b) 23 (c) 28 (d) 26
9. 9.What is the median of 22, 23, 4, 2 and 38? (a) 23 (b) 21 (c) 22 (d) 4
10. 10.What is the mean of 18, 13, 14, 2 and 18? (a) 14 (b) 15 (c) 13 (d) 12
11. 11.What is the mean of 15, 2, 3 and 20? (a) 8 (b) 9 (c) 10 (d) 11
12. 12.The mean of 3 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 24 (b) 28 (c) 29 (d) 32
13. 13.What is the mode of 13, 13, 18, 12, 3, 13 and 12? (a) 3 (b) 12 (c) 13 (d) 18
14. 14.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 23
15. 15.What is the median of 25, 2, 24, 4 and 10? (a) 4 (b) 10 (c) 13 (d) 24
16. 16.What is the mean of 7, 8, 7, 20 and 23? (a) 13 (b) 14 (c) 12 (d) 15
17. 17.What is the mode of 17, 3, 3, 8, 17, 11 and 3? (a) 11 (b) 3 (c) 8 (d) 17
18. 18.What is the mode of 19, 19, 19, 18, 8, 12 and 18? (a) 18 (b) 12 (c) 8 (d) 19
19. 19.What is the median of 32, 35, 15, 1, 36, 10 and 9? (a) 15 (b) 10 (c) 32 (d) 1
20. 20.What is the median of 34, 36, 17, 8, 10, 11 and 13? (a) 11 (b) 13 (c) 8 (d) 17
21. 21.What is the mode of 3, 8, 2, 2, 2, 3 and 11? (a) 8 (b) 11 (c) 2 (d) 3
22. 22.What is the mode of 16, 16, 16, 14, 14, 12 and 10? (a) 10 (b) 12 (c) 14 (d) 16
23. 23.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 22
24. 24.What is the mean of 14, 4, 3, 10 and 9? (a) 9 (b) 8 (c) 7 (d) 10
25. 25.What is the median of 6, 39, 2, 37, 35, 19 and 10? (a) 10 (b) 35 (c) 37 (d) 19
26. 26.What is the mode of 6, 6, 9, 10, 14, 9 and 6? (a) 9 (b) 6 (c) 14 (d) 10
27. 27.What is the median of 5, 28, 15, 1 and 19? (a) 19 (b) 5 (c) 15 (d) 16
28. 28.What is the median of 12, 6, 35, 9, 14, 23 and 5? (a) 9 (b) 12 (c) 14 (d) 13
29. 29.What is the mode of 16, 4, 20, 9, 16, 16 and 20? (a) 4 (b) 9 (c) 16 (d) 20
30. 30.What is the mode of 10, 2, 4, 18, 4, 4 and 18? (a) 10 (b) 18 (c) 2 (d) 4
31. 31.What is the mean of 2, 4, 12 and 10? (a) 9 (b) 7 (c) 6 (d) 8
32. 32.What is the mode of 12, 12, 20, 12, 4, 4 and 17? (a) 4 (b) 12 (c) 17 (d) 20
33. 33.What is the mean of 2, 6, 11 and 13? (a) 7 (b) 9 (c) 10 (d) 8
34. 34.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 44 (b) 33 (c) 32 (d) 28
35. 35.What is the mode of 15, 15, 15, 8, 3, 3 and 1? (a) 1 (b) 3 (c) 15 (d) 8
36. 36.What is the mean of 20, 5, 18, 4, 20 and 17? (a) 12 (b) 15 (c) 13 (d) 14
37. 37.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
38. 38.What is the median of 9, 10, 13, 27, 5, 7 and 24? (a) 27 (b) 9 (c) 13 (d) 10
39. 39.What is the median of 1, 27, 11, 6, 24, 35 and 22? (a) 22 (b) 24 (c) 6 (d) 18
40. 40.What is the mean of 8, 19, 3, 14, 9 and 7? (a) 9 (b) 12 (c) 10 (d) 11

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