Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 986 · 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 17, 5, 8, 5, 17, 17 and 6? (a) 17 (b) 6 (c) 5 (d) 8
2. 2.What is the median of 18, 28, 3, 16, 23, 20 and 19? (a) 16 (b) 18 (c) 19 (d) 20
3. 3.What is the mode of 20, 16, 4, 6, 4, 20 and 4? (a) 4 (b) 6 (c) 20 (d) 16
4. 4.What is the mode of 7, 10, 10, 7, 14, 6 and 10? (a) 6 (b) 10 (c) 14 (d) 7
5. 5.What is the mean of 20, 13, 4, 8 and 5? (a) 11 (b) 9 (c) 12 (d) 10
6. 6.What is the median of 31, 39, 5, 9 and 1? (a) 17 (b) 9 (c) 31 (d) 5
7. 7.What is the mean of 4, 17, 20, 3 and 6? (a) 11 (b) 10 (c) 12 (d) 9
8. 8.What is the mode of 18, 17, 19, 19, 19, 3 and 18? (a) 19 (b) 17 (c) 3 (d) 18
9. 9.What is the mode of 5, 18, 3, 18, 5, 19 and 18? (a) 18 (b) 19 (c) 3 (d) 5
10. 10.What is the mode of 18, 14, 6, 13, 6, 6 and 18? (a) 6 (b) 13 (c) 18 (d) 14
11. 11.What is the median of 15, 32, 39, 37, 24, 25 and 13? (a) 37 (b) 32 (c) 25 (d) 24
12. 12.What is the mode of 2, 8, 8, 1, 8, 1 and 7? (a) 2 (b) 7 (c) 1 (d) 8
13. 13.What is the mean of 14, 5, 4, 2, 14 and 9? (a) 10 (b) 8 (c) 7 (d) 9
14. 14.What is the mean of 4, 10, 19, 18 and 19? (a) 14 (b) 15 (c) 16 (d) 13
15. 15.What is the mean of 19, 15, 2 and 4? (a) 11 (b) 10 (c) 8 (d) 9
16. 16.What is the mode of 15, 5, 13, 16, 5, 5 and 16? (a) 5 (b) 15 (c) 13 (d) 16
17. 17.What is the mode of 12, 2, 3, 11, 3, 12 and 12? (a) 3 (b) 11 (c) 12 (d) 2
18. 18.What is the median of 4, 6, 2, 33 and 37? (a) 33 (b) 6 (c) 2 (d) 4
19. 19.What is the median of 33, 3, 1, 8, 26, 13 and 21? (a) 8 (b) 15 (c) 21 (d) 13
20. 20.What is the median of 11, 37, 14, 19 and 3? (a) 19 (b) 11 (c) 14 (d) 15
21. 21.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 9
22. 22.What is the mean of 20, 12, 13 and 15? (a) 16 (b) 15 (c) 12 (d) 20
23. 23.What is the median of 39, 4, 13, 10, 29, 33 and 25? (a) 13 (b) 25 (c) 10 (d) 29
24. 24.What is the mean of 3, 18, 2 and 17? (a) 8 (b) 9 (c) 10 (d) 11
25. 25.What is the mode of 2, 16, 4, 20, 20, 20 and 2? (a) 2 (b) 4 (c) 16 (d) 20
26. 26.What is the mode of 14, 4, 3, 5, 3, 3 and 14? (a) 14 (b) 3 (c) 5 (d) 4
27. 27.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 34 (b) 31 (c) 32 (d) 33
28. 28.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 37
29. 29.What is the median of 13, 15, 21, 23, 30, 34 and 37? (a) 30 (b) 21 (c) 24 (d) 23
30. 30.The mean of 5 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 16 (b) 22 (c) 25 (d) 23
31. 31.What is the mode of 8, 19, 16, 7, 16, 8 and 16? (a) 19 (b) 8 (c) 7 (d) 16
32. 32.What is the mean of 3, 8, 7 and 10? (a) 7 (b) 9 (c) 8 (d) 6
33. 33.What is the mode of 13, 14, 13, 2, 15, 13 and 2? (a) 14 (b) 15 (c) 13 (d) 2
34. 34.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 23
35. 35.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 45 (b) 42 (c) 41 (d) 39
36. 36.What is the mean of 3, 3, 14, 14 and 6? (a) 9 (b) 7 (c) 8 (d) 10
37. 37.What is the mode of 16, 16, 5, 19, 16, 2 and 5? (a) 19 (b) 16 (c) 5 (d) 2
38. 38.What is the median of 39, 38, 15, 14 and 35? (a) 36 (b) 38 (c) 35 (d) 15
39. 39.What is the mode of 11, 14, 11, 4, 19, 19 and 19? (a) 11 (b) 4 (c) 19 (d) 14
40. 40.What is the mode of 16, 14, 15, 16, 11, 14 and 16? (a) 11 (b) 15 (c) 16 (d) 14

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