Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 942 · 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 median of 7, 6, 36, 15 and 40? (a) 7 (b) 16 (c) 15 (d) 36
2. 2.What is the median of 7, 9, 35, 8 and 40? (a) 35 (b) 10 (c) 8 (d) 9
3. 3.What is the median of 37, 40, 17, 9 and 30? (a) 17 (b) 37 (c) 31 (d) 30
4. 4.What is the median of 35, 39, 23, 7, 33, 5 and 25? (a) 33 (b) 23 (c) 25 (d) 7
5. 5.What is the mean of 14, 10, 12, 16, 2 and 18? (a) 11 (b) 13 (c) 14 (d) 12
6. 6.What is the mean of 17, 7, 15, 4 and 22? (a) 12 (b) 15 (c) 14 (d) 13
7. 7.What is the mean of 13, 14, 8 and 9? (a) 10 (b) 12 (c) 11 (d) 13
8. 8.What is the mean of 17, 15, 18 and 2? (a) 15 (b) 12 (c) 13 (d) 14
9. 9.What is the mean of 20, 6, 14 and 4? (a) 10 (b) 13 (c) 12 (d) 11
10. 10.What is the median of 11, 2, 20, 36, 4, 16 and 34? (a) 16 (b) 36 (c) 20 (d) 11
11. 11.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 12
12. 12.What is the mode of 19, 4, 4, 13, 19, 10 and 19? (a) 4 (b) 13 (c) 19 (d) 10
13. 13.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 16 (b) 21 (c) 34 (d) 20
14. 14.What is the mean of 7, 14, 13, 8, 11 and 25? (a) 12 (b) 15 (c) 13 (d) 14
15. 15.What is the mean of 18, 9, 9 and 8? (a) 13 (b) 11 (c) 12 (d) 10
16. 16.What is the mean of 14, 17, 3, 17, 12 and 21? (a) 13 (b) 15 (c) 14 (d) 12
17. 17.What is the mean of 3, 9, 5, 13, 10 and 20? (a) 10 (b) 9 (c) 12 (d) 11
18. 18.What is the median of 13, 6, 8, 30 and 2? (a) 13 (b) 9 (c) 8 (d) 6
19. 19.What is the median of 2, 10, 12, 33 and 9? (a) 9 (b) 10 (c) 12 (d) 11
20. 20.What is the mean of 2, 7, 8, 7 and 16? (a) 10 (b) 7 (c) 8 (d) 9
21. 21.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 34 (b) 35 (c) 38 (d) 36
22. 22.What is the median of 14, 32, 23, 17, 21, 15 and 28? (a) 23 (b) 22 (c) 17 (d) 21
23. 23.What is the median of 15, 7, 21, 40, 8, 19 and 16? (a) 40 (b) 19 (c) 16 (d) 18
24. 24.What is the mode of 19, 12, 19, 19, 8, 12 and 15? (a) 8 (b) 12 (c) 19 (d) 15
25. 25.What is the median of 40, 7, 39, 11 and 1? (a) 11 (b) 7 (c) 39 (d) 12
26. 26.What is the median of 8, 16, 3, 38, 21, 4 and 17? (a) 17 (b) 16 (c) 8 (d) 38
27. 27.What is the mode of 16, 18, 16, 16, 3, 18 and 19? (a) 3 (b) 16 (c) 18 (d) 19
28. 28.What is the mean of 17, 4, 16, 5 and 18? (a) 10 (b) 12 (c) 15 (d) 13
29. 29.What is the mean of 13, 10, 2, 11, 2 and 16? (a) 9 (b) 10 (c) 8 (d) 11
30. 30.What is the mode of 6, 3, 1, 3, 1, 3 and 7? (a) 6 (b) 1 (c) 7 (d) 3
31. 31.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 10 (b) 15 (c) 17 (d) 16
32. 32.What is the median of 15, 8, 24, 25, 7, 39 and 37? (a) 25 (b) 15 (c) 23 (d) 24
33. 33.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 27 (b) 33 (c) 28 (d) 23
34. 34.What is the mean of 20, 2, 19 and 11? (a) 15 (b) 12 (c) 14 (d) 13
35. 35.What is the median of 6, 23, 35, 2, 19, 28 and 36? (a) 2 (b) 23 (c) 19 (d) 28
36. 36.The mean of 3 numbers is 31. When the number 35 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 31
37. 37.What is the mean of 20, 18, 4 and 6? (a) 11 (b) 12 (c) 13 (d) 16
38. 38.What is the mode of 20, 3, 4, 3, 11, 20 and 20? (a) 3 (b) 11 (c) 4 (d) 20
39. 39.What is the mode of 14, 14, 17, 17, 4, 9 and 17? (a) 17 (b) 14 (c) 4 (d) 9
40. 40.What is the mean of 3, 8, 12 and 5? (a) 7 (b) 9 (c) 8 (d) 6

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