Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 447 · 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 14, 11, 16, 11, 11, 16 and 20? (a) 14 (b) 16 (c) 20 (d) 11
2. 2.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 24 (b) 23 (c) 19 (d) 39
3. 3.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 40
4. 4.What is the mean of 13, 12, 4, 17 and 9? (a) 11 (b) 10 (c) 13 (d) 12
5. 5.What is the mean of 15, 18, 18, 13 and 21? (a) 16 (b) 19 (c) 17 (d) 18
6. 6.What is the mean of 7, 20, 9, 13 and 16? (a) 12 (b) 15 (c) 14 (d) 13
7. 7.What is the mode of 12, 4, 4, 18, 4, 18 and 17? (a) 17 (b) 18 (c) 4 (d) 12
8. 8.What is the median of 9, 7, 38, 5 and 40? (a) 7 (b) 9 (c) 10 (d) 38
9. 9.What is the mean of 20, 14, 5 and 17? (a) 15 (b) 16 (c) 14 (d) 13
10. 10.What is the median of 10, 6, 19, 35 and 32? (a) 10 (b) 32 (c) 20 (d) 19
11. 11.What is the mean of 4, 8, 7, 10 and 21? (a) 9 (b) 12 (c) 11 (d) 10
12. 12.The mean of 3 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 39
13. 13.What is the mode of 13, 2, 2, 13, 9, 5 and 2? (a) 5 (b) 2 (c) 9 (d) 13
14. 14.The mean of 6 numbers is 31. When the number 45 is added to them, what is the new mean? (a) 33 (b) 31 (c) 38 (d) 34
15. 15.What is the mode of 14, 1, 1, 14, 1, 3 and 13? (a) 1 (b) 13 (c) 3 (d) 14
16. 16.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 13 (b) 12 (c) 15 (d) 14
17. 17.What is the median of 30, 40, 11, 8 and 15? (a) 16 (b) 30 (c) 15 (d) 11
18. 18.What is the median of 39, 11, 29, 38 and 23? (a) 29 (b) 38 (c) 28 (d) 23
19. 19.What is the mean of 3, 8, 5 and 8? (a) 7 (b) 5 (c) 6 (d) 8
20. 20.What is the mode of 10, 10, 8, 2, 10, 15 and 8? (a) 8 (b) 15 (c) 10 (d) 2
21. 21.What is the median of 38, 14, 19, 2 and 25? (a) 20 (b) 19 (c) 14 (d) 25
22. 22.The mean of 5 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 20 (b) 16 (c) 22 (d) 21
23. 23.What is the mode of 4, 14, 15, 16, 4, 4 and 15? (a) 14 (b) 16 (c) 15 (d) 4
24. 24.What is the median of 18, 5, 35, 14, 12, 13 and 17? (a) 14 (b) 15 (c) 17 (d) 13
25. 25.What is the mode of 3, 10, 15, 6, 10, 3 and 10? (a) 3 (b) 15 (c) 10 (d) 6
26. 26.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 13
27. 27.What is the mode of 4, 15, 5, 7, 15, 15 and 5? (a) 15 (b) 4 (c) 7 (d) 5
28. 28.What is the median of 6, 18, 38, 39 and 9? (a) 9 (b) 18 (c) 22 (d) 38
29. 29.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 24 (b) 26 (c) 23 (d) 25
30. 30.What is the median of 6, 4, 18, 11, 23, 29 and 31? (a) 18 (b) 23 (c) 19 (d) 11
31. 31.What is the mode of 12, 6, 1, 16, 12, 12 and 16? (a) 1 (b) 16 (c) 12 (d) 6
32. 32.What is the mean of 11, 5, 5, 4 and 5? (a) 7 (b) 5 (c) 8 (d) 6
33. 33.The mean of 9 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 18 (b) 15 (c) 19 (d) 20
34. 34.What is the mean of 11, 2, 5, 2, 12 and 16? (a) 7 (b) 9 (c) 8 (d) 10
35. 35.What is the mode of 16, 16, 1, 1, 5, 2 and 1? (a) 16 (b) 5 (c) 1 (d) 2
36. 36.What is the median of 32, 35, 30, 34, 12, 23 and 5? (a) 30 (b) 32 (c) 23 (d) 34
37. 37.The mean of 8 numbers is 16. When the number 52 is added to them, what is the new mean? (a) 21 (b) 20 (c) 16 (d) 34
38. 38.What is the mode of 14, 6, 6, 14, 20, 14 and 9? (a) 20 (b) 14 (c) 6 (d) 9
39. 39.What is the median of 33, 15, 19, 36, 5, 26 and 4? (a) 36 (b) 26 (c) 19 (d) 15
40. 40.What is the median of 18, 5, 36, 19 and 38? (a) 36 (b) 20 (c) 18 (d) 19

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