Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 407 · 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 mean of 4, 3, 7 and 10? (a) 7 (b) 5 (c) 8 (d) 6
2. 2.What is the mode of 18, 18, 18, 5, 12, 5 and 10? (a) 5 (b) 12 (c) 10 (d) 18
3. 3.What is the mode of 16, 13, 16, 16, 5, 18 and 5? (a) 16 (b) 18 (c) 5 (d) 13
4. 4.The mean of 5 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 29 (b) 33 (c) 38 (d) 32
5. 5.What is the mode of 18, 2, 20, 2, 13, 2 and 18? (a) 2 (b) 20 (c) 18 (d) 13
6. 6.What is the median of 11, 23, 28, 4 and 8? (a) 8 (b) 11 (c) 23 (d) 28
7. 7.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 35 (b) 23 (c) 26 (d) 27
8. 8.What is the mode of 13, 2, 13, 13, 10, 14 and 2? (a) 14 (b) 10 (c) 2 (d) 13
9. 9.What is the mode of 10, 15, 16, 15, 6, 15 and 10? (a) 15 (b) 6 (c) 16 (d) 10
10. 10.What is the mean of 18, 9, 8, 2, 2 and 15? (a) 8 (b) 11 (c) 9 (d) 10
11. 11.What is the median of 8, 9, 12, 37 and 30? (a) 12 (b) 30 (c) 9 (d) 13
12. 12.What is the mean of 9, 15, 6 and 14? (a) 13 (b) 10 (c) 11 (d) 12
13. 13.What is the mode of 19, 15, 15, 19, 1, 16 and 19? (a) 1 (b) 15 (c) 16 (d) 19
14. 14.What is the mean of 20, 19, 16 and 21? (a) 20 (b) 21 (c) 18 (d) 19
15. 15.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 19
16. 16.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 10 (b) 13 (c) 7 (d) 11
17. 17.What is the mode of 20, 1, 7, 20, 3, 1 and 1? (a) 20 (b) 7 (c) 3 (d) 1
18. 18.What is the mode of 5, 11, 17, 5, 6, 17 and 17? (a) 6 (b) 17 (c) 5 (d) 11
19. 19.What is the mean of 9, 18, 19 and 10? (a) 15 (b) 16 (c) 14 (d) 13
20. 20.What is the mean of 8, 4, 17, 7 and 9? (a) 8 (b) 11 (c) 10 (d) 9
21. 21.What is the mode of 9, 9, 19, 9, 17, 11 and 17? (a) 11 (b) 19 (c) 9 (d) 17
22. 22.What is the mean of 11, 19, 5, 14 and 6? (a) 11 (b) 13 (c) 10 (d) 12
23. 23.What is the mode of 18, 17, 18, 18, 8, 4 and 17? (a) 17 (b) 4 (c) 18 (d) 8
24. 24.The mean of 8 numbers is 39. When the number 66 is added to them, what is the new mean? (a) 42 (b) 43 (c) 41 (d) 39
25. 25.What is the mode of 9, 9, 2, 12, 12, 9 and 3? (a) 2 (b) 12 (c) 3 (d) 9
26. 26.What is the median of 26, 3, 33, 37, 34, 36 and 6? (a) 33 (b) 25 (c) 34 (d) 37
27. 27.The mean of 5 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 33
28. 28.The mean of 5 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 19 (b) 10 (c) 14 (d) 13
29. 29.What is the mode of 16, 10, 10, 8, 10, 16 and 3? (a) 8 (b) 16 (c) 3 (d) 10
30. 30.What is the mode of 2, 3, 20, 14, 20, 2 and 20? (a) 14 (b) 3 (c) 2 (d) 20
31. 31.The mean of 6 numbers is 28. When the number 35 is added to them, what is the new mean? (a) 28 (b) 29 (c) 31 (d) 30
32. 32.The mean of 7 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 34
33. 33.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 23
34. 34.What is the mean of 4, 18, 10 and 8? (a) 9 (b) 8 (c) 10 (d) 11
35. 35.What is the median of 13, 9, 8, 23 and 37? (a) 23 (b) 13 (c) 18 (d) 8
36. 36.What is the mode of 5, 18, 13, 11, 18, 11 and 18? (a) 5 (b) 18 (c) 11 (d) 13
37. 37.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 6 (b) 9 (c) 11 (d) 10
38. 38.What is the mode of 2, 11, 15, 11, 15, 15 and 5? (a) 5 (b) 2 (c) 15 (d) 11
39. 39.What is the mean of 8, 13, 17, 7, 19 and 20? (a) 15 (b) 13 (c) 12 (d) 14
40. 40.What is the median of 26, 12, 8, 36 and 9? (a) 26 (b) 8 (c) 9 (d) 12

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