Mean Median Mode Worksheet for Maths Olympiad

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

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