Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 597 · 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 19, 19, 12, 2, 1, 19 and 1? (a) 1 (b) 2 (c) 19 (d) 12
2. 2.What is the mean of 20, 13, 8, 16 and 13? (a) 15 (b) 13 (c) 16 (d) 14
3. 3.What is the median of 14, 29, 4, 8 and 36? (a) 29 (b) 8 (c) 4 (d) 14
4. 4.What is the median of 20, 21, 11, 36 and 40? (a) 21 (b) 36 (c) 11 (d) 20
5. 5.What is the median of 30, 2, 13, 8 and 32? (a) 13 (b) 8 (c) 30 (d) 17
6. 6.What is the mean of 8, 14, 4, 2 and 7? (a) 8 (b) 6 (c) 9 (d) 7
7. 7.What is the mean of 7, 14, 3 and 16? (a) 8 (b) 11 (c) 10 (d) 9
8. 8.What is the mean of 12, 2, 13, 4 and 19? (a) 9 (b) 11 (c) 10 (d) 12
9. 9.What is the mode of 5, 3, 5, 14, 3, 5 and 13? (a) 5 (b) 14 (c) 13 (d) 3
10. 10.What is the median of 20, 25, 8, 10, 4, 2 and 32? (a) 11 (b) 8 (c) 20 (d) 10
11. 11.What is the median of 3, 26, 24, 14 and 32? (a) 26 (b) 25 (c) 24 (d) 14
12. 12.What is the mean of 20, 5, 8, 5 and 22? (a) 15 (b) 12 (c) 10 (d) 13
13. 13.What is the mean of 13, 3, 15, 10 and 19? (a) 12 (b) 13 (c) 10 (d) 15
14. 14.What is the median of 4, 33, 8, 10, 13, 28 and 18? (a) 10 (b) 14 (c) 13 (d) 18
15. 15.What is the mean of 10, 7, 6, 15, 11 and 11? (a) 11 (b) 10 (c) 9 (d) 12
16. 16.What is the mean of 15, 13, 9 and 19? (a) 13 (b) 16 (c) 14 (d) 15
17. 17.What is the mean of 14, 16, 13, 13, 9 and 13? (a) 14 (b) 12 (c) 13 (d) 15
18. 18.What is the mode of 16, 2, 8, 2, 16, 14 and 16? (a) 8 (b) 14 (c) 16 (d) 2
19. 19.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 14 (b) 13 (c) 17 (d) 9
20. 20.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 38 (b) 37 (c) 30 (d) 36
21. 21.What is the median of 18, 38, 35, 26, 6, 34 and 31? (a) 34 (b) 31 (c) 32 (d) 26
22. 22.The mean of 8 numbers is 17. When the number 53 is added to them, what is the new mean? (a) 35 (b) 17 (c) 21 (d) 22
23. 23.What is the mode of 11, 15, 15, 16, 15, 7 and 11? (a) 11 (b) 16 (c) 15 (d) 7
24. 24.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19
25. 25.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 17 (b) 16 (c) 12 (d) 22
26. 26.What is the mean of 4, 4, 17, 14, 4 and 11? (a) 9 (b) 11 (c) 10 (d) 8
27. 27.What is the mean of 18, 11, 9 and 18? (a) 14 (b) 15 (c) 13 (d) 16
28. 28.What is the median of 12, 36, 8, 2, 21, 11 and 6? (a) 12 (b) 2 (c) 8 (d) 11
29. 29.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 17
30. 30.What is the mean of 11, 17, 19, 8 and 10? (a) 12 (b) 13 (c) 15 (d) 14
31. 31.What is the median of 4, 22, 28, 16, 27, 20 and 21? (a) 20 (b) 21 (c) 16 (d) 22
32. 32.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 29 (b) 27 (c) 28 (d) 26
33. 33.What is the median of 6, 1, 9, 38 and 34? (a) 34 (b) 6 (c) 9 (d) 10
34. 34.What is the mean of 17, 9, 6, 7 and 6? (a) 8 (b) 9 (c) 11 (d) 10
35. 35.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 38 (b) 34 (c) 35 (d) 36
36. 36.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 24 (c) 21 (d) 27
37. 37.The mean of 9 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 45 (b) 38 (c) 35 (d) 37
38. 38.What is the mode of 16, 16, 2, 16, 7, 1 and 7? (a) 16 (b) 2 (c) 7 (d) 1
39. 39.What is the mode of 1, 1, 16, 1, 12, 16 and 2? (a) 2 (b) 16 (c) 1 (d) 12
40. 40.What is the mean of 5, 12, 19 and 8? (a) 10 (b) 11 (c) 13 (d) 12

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