Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 175 · 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.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 36
2. 2.What is the mode of 17, 17, 6, 17, 11, 20 and 6? (a) 11 (b) 6 (c) 20 (d) 17
3. 3.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 36 (b) 38 (c) 37 (d) 35
4. 4.What is the mode of 2, 5, 1, 5, 2, 4 and 5? (a) 5 (b) 4 (c) 1 (d) 2
5. 5.What is the median of 24, 23, 27, 3, 33, 8 and 30? (a) 23 (b) 3 (c) 24 (d) 27
6. 6.What is the mean of 8, 19, 6, 5, 3 and 7? (a) 9 (b) 10 (c) 7 (d) 8
7. 7.What is the mode of 2, 11, 16, 2, 6, 2 and 11? (a) 6 (b) 16 (c) 2 (d) 11
8. 8.What is the median of 3, 11, 31, 13, 5, 21 and 40? (a) 21 (b) 11 (c) 14 (d) 13
9. 9.What is the median of 4, 7, 38, 37, 34, 15 and 1? (a) 15 (b) 7 (c) 34 (d) 37
10. 10.What is the mode of 10, 7, 7, 8, 10, 9 and 10? (a) 8 (b) 9 (c) 10 (d) 7
11. 11.The mean of 4 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 45 (b) 43 (c) 42 (d) 40
12. 12.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 18 (b) 22 (c) 24 (d) 21
13. 13.What is the mean of 20, 10, 14, 9 and 12? (a) 15 (b) 13 (c) 14 (d) 12
14. 14.What is the mean of 15, 16, 11 and 22? (a) 16 (b) 18 (c) 15 (d) 17
15. 15.What is the median of 10, 4, 11, 13, 5, 40 and 8? (a) 10 (b) 11 (c) 13 (d) 8
16. 16.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 37 (b) 46 (c) 38 (d) 34
17. 17.What is the mean of 8, 17, 2 and 5? (a) 7 (b) 10 (c) 9 (d) 8
18. 18.What is the mode of 6, 3, 6, 10, 6, 8 and 10? (a) 8 (b) 3 (c) 6 (d) 10
19. 19.What is the mean of 6, 7, 16, 13 and 8? (a) 11 (b) 9 (c) 10 (d) 12
20. 20.What is the median of 29, 33, 37, 38 and 39? (a) 37 (b) 36 (c) 33 (d) 38
21. 21.What is the median of 33, 25, 4, 27, 12, 32 and 37? (a) 25 (b) 32 (c) 28 (d) 27
22. 22.What is the median of 27, 7, 8, 33 and 30? (a) 21 (b) 30 (c) 8 (d) 27
23. 23.What is the mode of 16, 16, 12, 7, 7, 7 and 4? (a) 16 (b) 7 (c) 4 (d) 12
24. 24.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 18 (b) 16 (c) 15 (d) 17
25. 25.What is the mode of 11, 7, 5, 7, 7, 3 and 3? (a) 11 (b) 3 (c) 5 (d) 7
26. 26.What is the mean of 5, 6, 8 and 9? (a) 9 (b) 7 (c) 6 (d) 8
27. 27.What is the median of 20, 16, 2, 10 and 38? (a) 2 (b) 16 (c) 20 (d) 10
28. 28.What is the median of 17, 21, 10, 15 and 9? (a) 15 (b) 16 (c) 17 (d) 10
29. 29.What is the median of 12, 3, 1, 8 and 36? (a) 3 (b) 12 (c) 1 (d) 8
30. 30.The mean of 9 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 19
31. 31.What is the mean of 20, 19, 9 and 16? (a) 15 (b) 18 (c) 17 (d) 16
32. 32.What is the mean of 6, 6, 5, 15 and 18? (a) 11 (b) 12 (c) 9 (d) 10
33. 33.What is the median of 23, 36, 10, 14, 9, 11 and 39? (a) 23 (b) 14 (c) 15 (d) 11
34. 34.What is the mean of 5, 16, 12, 5 and 17? (a) 12 (b) 11 (c) 13 (d) 10
35. 35.What is the mean of 5, 11, 14, 6 and 9? (a) 11 (b) 10 (c) 9 (d) 8
36. 36.What is the mean of 2, 8, 4, 12 and 14? (a) 10 (b) 8 (c) 9 (d) 7
37. 37.What is the median of 32, 22, 30, 39, 20, 38 and 9? (a) 32 (b) 22 (c) 39 (d) 30
38. 38.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 35 (b) 32 (c) 27 (d) 31
39. 39.What is the mode of 3, 8, 4, 3, 19, 3 and 4? (a) 19 (b) 8 (c) 4 (d) 3
40. 40.What is the mean of 15, 7, 9, 14, 13 and 14? (a) 12 (b) 14 (c) 11 (d) 13

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