Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 72 · 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 8, 8, 7, 17, 17, 3 and 8? (a) 3 (b) 8 (c) 7 (d) 17
2. 2.What is the mode of 5, 18, 3, 3, 18, 1 and 3? (a) 5 (b) 18 (c) 1 (d) 3
3. 3.What is the median of 18, 2, 1, 33 and 25? (a) 18 (b) 2 (c) 25 (d) 1
4. 4.What is the median of 3, 38, 1, 35 and 31? (a) 35 (b) 31 (c) 1 (d) 3
5. 5.What is the median of 31, 13, 9, 29, 14, 18 and 25? (a) 18 (b) 25 (c) 14 (d) 29
6. 6.What is the median of 5, 40, 17, 25, 3, 1 and 39? (a) 5 (b) 18 (c) 25 (d) 17
7. 7.The mean of 7 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 15 (c) 17 (d) 16
8. 8.What is the mode of 9, 7, 6, 8, 8, 6 and 8? (a) 9 (b) 8 (c) 6 (d) 7
9. 9.What is the mean of 10, 8, 14, 2, 14 and 6? (a) 8 (b) 11 (c) 10 (d) 9
10. 10.What is the mean of 2, 19, 15 and 8? (a) 10 (b) 12 (c) 13 (d) 11
11. 11.What is the median of 22, 32, 1, 26 and 21? (a) 21 (b) 1 (c) 22 (d) 26
12. 12.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 27 (b) 26 (c) 21 (d) 25
13. 13.The mean of 9 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 40 (b) 45 (c) 42 (d) 41
14. 14.What is the mode of 13, 2, 5, 13, 3, 13 and 2? (a) 5 (b) 2 (c) 13 (d) 3
15. 15.The mean of 7 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 43 (b) 38 (c) 35 (d) 37
16. 16.What is the mode of 7, 5, 5, 1, 1, 1 and 14? (a) 7 (b) 5 (c) 1 (d) 14
17. 17.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 18 (b) 13 (c) 19 (d) 20
18. 18.What is the median of 1, 30, 14, 16 and 20? (a) 17 (b) 20 (c) 14 (d) 16
19. 19.What is the mean of 17, 9, 18 and 16? (a) 16 (b) 12 (c) 20 (d) 15
20. 20.What is the median of 29, 12, 21, 2, 26, 10 and 9? (a) 12 (b) 21 (c) 2 (d) 10
21. 21.What is the median of 3, 11, 10, 6 and 31? (a) 6 (b) 11 (c) 9 (d) 10
22. 22.What is the mode of 19, 1, 20, 1, 1, 10 and 10? (a) 19 (b) 10 (c) 20 (d) 1
23. 23.What is the mean of 5, 14, 7, 5 and 19? (a) 12 (b) 11 (c) 9 (d) 10
24. 24.What is the median of 5, 14, 11, 1 and 31? (a) 5 (b) 12 (c) 14 (d) 11
25. 25.What is the median of 37, 27, 36, 30, 40, 20 and 17? (a) 31 (b) 36 (c) 27 (d) 30
26. 26.What is the mode of 18, 3, 13, 3, 5, 13 and 13? (a) 5 (b) 3 (c) 18 (d) 13
27. 27.What is the mode of 1, 13, 17, 20, 13, 1 and 13? (a) 17 (b) 20 (c) 13 (d) 1
28. 28.What is the median of 13, 12, 8, 23, 40, 18 and 19? (a) 18 (b) 19 (c) 23 (d) 13
29. 29.What is the median of 3, 20, 5, 17 and 10? (a) 11 (b) 5 (c) 17 (d) 10
30. 30.What is the mode of 12, 16, 1, 1, 16, 1 and 15? (a) 12 (b) 16 (c) 1 (d) 15
31. 31.What is the median of 8, 37, 40, 9, 27, 4 and 1? (a) 8 (b) 18 (c) 27 (d) 9
32. 32.What is the mode of 4, 14, 19, 14, 19, 1 and 14? (a) 1 (b) 19 (c) 4 (d) 14
33. 33.What is the mean of 20, 9, 10, 6 and 5? (a) 10 (b) 12 (c) 11 (d) 9
34. 34.What is the mean of 8, 20, 19, 3, 8 and 20? (a) 14 (b) 12 (c) 15 (d) 13
35. 35.What is the mean of 4, 11, 18, 8 and 24? (a) 15 (b) 12 (c) 14 (d) 13
36. 36.What is the mode of 15, 15, 15, 10, 10, 14 and 18? (a) 10 (b) 14 (c) 15 (d) 18
37. 37.What is the mode of 18, 5, 18, 18, 4, 16 and 4? (a) 18 (b) 4 (c) 16 (d) 5
38. 38.What is the mean of 3, 8, 10, 12 and 7? (a) 10 (b) 8 (c) 9 (d) 7
39. 39.What is the mode of 20, 10, 7, 7, 7, 20 and 9? (a) 10 (b) 7 (c) 9 (d) 20
40. 40.What is the mode of 19, 4, 6, 4, 4, 14 and 19? (a) 14 (b) 4 (c) 19 (d) 6

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