Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 94 · 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 3 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 19
2. 2.What is the median of 24, 9, 30, 8, 19, 13 and 31? (a) 8 (b) 13 (c) 19 (d) 24
3. 3.The mean of 7 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 30 (b) 29 (c) 27 (d) 31
4. 4.What is the mode of 3, 20, 4, 3, 4, 10 and 4? (a) 10 (b) 20 (c) 4 (d) 3
5. 5.What is the mode of 9, 4, 9, 4, 3, 4 and 6? (a) 3 (b) 9 (c) 6 (d) 4
6. 6.What is the mean of 8, 11, 12, 11, 9 and 9? (a) 12 (b) 11 (c) 9 (d) 10
7. 7.What is the median of 19, 33, 38, 36 and 40? (a) 36 (b) 33 (c) 38 (d) 37
8. 8.What is the mean of 3, 5, 5 and 7? (a) 7 (b) 5 (c) 6 (d) 4
9. 9.What is the mean of 6, 10, 5, 4 and 15? (a) 10 (b) 9 (c) 7 (d) 8
10. 10.What is the mean of 14, 5, 14, 5, 6 and 10? (a) 11 (b) 8 (c) 9 (d) 10
11. 11.What is the mode of 1, 15, 6, 6, 10, 15 and 15? (a) 6 (b) 15 (c) 1 (d) 10
12. 12.What is the mean of 13, 18, 20, 3, 14 and 16? (a) 12 (b) 15 (c) 14 (d) 13
13. 13.The mean of 4 numbers is 20. When the number 15 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 18
14. 14.What is the median of 37, 18, 16, 22, 28, 33 and 19? (a) 19 (b) 28 (c) 22 (d) 23
15. 15.What is the median of 21, 13, 9, 19, 3, 22 and 12? (a) 19 (b) 13 (c) 14 (d) 12
16. 16.What is the mode of 4, 2, 20, 18, 20, 4 and 20? (a) 4 (b) 20 (c) 2 (d) 18
17. 17.What is the median of 9, 3, 40, 33 and 2? (a) 3 (b) 9 (c) 40 (d) 33
18. 18.What is the mean of 14, 2, 8, 15, 8 and 13? (a) 11 (b) 9 (c) 12 (d) 10
19. 19.What is the mean of 8, 13, 12, 10 and 17? (a) 13 (b) 15 (c) 10 (d) 12
20. 20.What is the mean of 15, 8, 10, 16 and 6? (a) 10 (b) 11 (c) 12 (d) 13
21. 21.The mean of 8 numbers is 11. When the number 20 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
22. 22.What is the mean of 6, 12, 8, 6 and 18? (a) 10 (b) 11 (c) 9 (d) 12
23. 23.What is the median of 9, 2, 8, 23, 39, 18 and 38? (a) 19 (b) 18 (c) 23 (d) 9
24. 24.What is the mode of 6, 11, 3, 9, 11, 6 and 11? (a) 11 (b) 3 (c) 6 (d) 9
25. 25.What is the mean of 3, 5, 5, 16 and 16? (a) 10 (b) 9 (c) 11 (d) 8
26. 26.What is the mode of 4, 12, 7, 6, 4, 4 and 7? (a) 12 (b) 4 (c) 6 (d) 7
27. 27.What is the median of 23, 28, 35, 17, 25, 6 and 9? (a) 23 (b) 17 (c) 25 (d) 24
28. 28.What is the mean of 8, 2, 10, 8 and 17? (a) 9 (b) 8 (c) 11 (d) 10
29. 29.What is the mean of 6, 5, 10 and 19? (a) 8 (b) 11 (c) 9 (d) 10
30. 30.What is the median of 40, 20, 22, 33 and 25? (a) 25 (b) 28 (c) 33 (d) 22
31. 31.What is the mean of 6, 5, 12, 16 and 6? (a) 9 (b) 11 (c) 10 (d) 8
32. 32.The mean of 8 numbers is 11. When the number 38 is added to them, what is the new mean? (a) 15 (b) 11 (c) 13 (d) 14
33. 33.What is the mean of 17, 14, 5 and 12? (a) 12 (b) 16 (c) 11 (d) 13
34. 34.What is the mean of 2, 14, 17 and 7? (a) 9 (b) 10 (c) 11 (d) 8
35. 35.What is the mode of 6, 6, 3, 7, 7, 6 and 4? (a) 3 (b) 6 (c) 7 (d) 4
36. 36.What is the mean of 13, 16, 18, 6, 6 and 7? (a) 11 (b) 13 (c) 10 (d) 12
37. 37.What is the mean of 12, 20, 18, 9 and 21? (a) 15 (b) 16 (c) 20 (d) 17
38. 38.What is the mode of 5, 18, 18, 20, 16, 18 and 20? (a) 18 (b) 16 (c) 20 (d) 5
39. 39.What is the mean of 6, 7, 11, 2 and 9? (a) 6 (b) 9 (c) 8 (d) 7
40. 40.What is the mode of 6, 20, 20, 12, 9, 20 and 12? (a) 6 (b) 20 (c) 9 (d) 12

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad