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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 3 · 40 questions
TalentJR

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).

NameDateTime takenScore ___ / 40
  1. 1.What is the median of 16, 18, 37, 33, 32, 21 and 15? (a) 32 (b) 33 (c) 18 (d) 21
  2. 2.What is the mode of 12, 4, 2, 4, 6, 2 and 4? (a) 2 (b) 6 (c) 4 (d) 12
  3. 3.What is the mode of 15, 15, 13, 3, 3, 15 and 12? (a) 3 (b) 12 (c) 13 (d) 15
  4. 4.What is the median of 2, 1, 23, 9, 24, 11 and 29? (a) 23 (b) 9 (c) 11 (d) 12
  5. 5.What is the mean of 6, 9, 15, 14 and 6? (a) 11 (b) 12 (c) 9 (d) 10
  6. 6.What is the median of 38, 25, 4, 8, 9, 11 and 40? (a) 11 (b) 25 (c) 9 (d) 8
  7. 7.The mean of 3 numbers is 23. When the number 19 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  8. 8.What is the mode of 4, 4, 3, 9, 12, 3 and 3? (a) 9 (b) 12 (c) 4 (d) 3
  9. 9.What is the mean of 20, 10, 8, 12 and 10? (a) 13 (b) 12 (c) 10 (d) 15
  10. 10.What is the mean of 9, 14, 3, 14 and 20? (a) 15 (b) 13 (c) 12 (d) 10
  11. 11.What is the median of 11, 38, 18, 19 and 2? (a) 18 (b) 11 (c) 17 (d) 19
  12. 12.What is the mean of 5, 7, 14, 13 and 11? (a) 9 (b) 12 (c) 11 (d) 10
  13. 13.What is the mean of 5, 17, 14, 13, 14 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  14. 14.What is the mean of 13, 14, 12, 14 and 12? (a) 13 (b) 15 (c) 12 (d) 14
  15. 15.What is the mean of 17, 9, 4 and 14? (a) 13 (b) 12 (c) 11 (d) 10
  16. 16.What is the mode of 19, 19, 13, 20, 19, 12 and 12? (a) 13 (b) 20 (c) 12 (d) 19
  17. 17.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 24 (b) 31 (c) 29 (d) 30
  18. 18.What is the mean of 12, 19, 7, 3 and 9? (a) 9 (b) 10 (c) 12 (d) 11
  19. 19.The mean of 9 numbers is 12. When the number 42 is added to them, what is the new mean? (a) 16 (b) 27 (c) 12 (d) 15
  20. 20.What is the mode of 19, 7, 3, 15, 15, 3 and 3? (a) 3 (b) 15 (c) 19 (d) 7
  21. 21.What is the mode of 13, 3, 9, 10, 9, 10 and 10? (a) 9 (b) 13 (c) 3 (d) 10
  22. 22.What is the median of 5, 20, 24, 23, 36, 38 and 10? (a) 23 (b) 22 (c) 20 (d) 24
  23. 23.What is the median of 6, 24, 14, 36 and 4? (a) 15 (b) 24 (c) 14 (d) 6
  24. 24.The mean of 3 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 16
  25. 25.What is the median of 7, 27, 8, 38 and 21? (a) 27 (b) 22 (c) 21 (d) 8
  26. 26.What is the mode of 2, 12, 12, 17, 3, 2 and 2? (a) 17 (b) 2 (c) 12 (d) 3
  27. 27.What is the mode of 16, 17, 16, 16, 17, 8 and 20? (a) 8 (b) 16 (c) 17 (d) 20
  28. 28.What is the median of 15, 18, 27, 6, 34, 3 and 12? (a) 6 (b) 15 (c) 18 (d) 12
  29. 29.What is the median of 9, 12, 8, 31 and 40? (a) 31 (b) 12 (c) 8 (d) 20
  30. 30.What is the mean of 10, 2, 13 and 7? (a) 10 (b) 7 (c) 8 (d) 9
  31. 31.What is the median of 34, 7, 1, 31 and 37? (a) 31 (b) 22 (c) 1 (d) 34
  32. 32.What is the mode of 10, 15, 1, 15, 9, 15 and 10? (a) 1 (b) 10 (c) 15 (d) 9
  33. 33.The mean of 6 numbers is 38. When the number 45 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 41
  34. 34.What is the mode of 17, 17, 20, 5, 20, 6 and 17? (a) 17 (b) 5 (c) 20 (d) 6
  35. 35.What is the median of 9, 1, 3, 32 and 28? (a) 3 (b) 10 (c) 9 (d) 28
  36. 36.What is the mode of 6, 3, 6, 6, 16, 18 and 18? (a) 16 (b) 6 (c) 3 (d) 18
  37. 37.What is the mean of 15, 15, 7, 18, 16 and 13? (a) 13 (b) 12 (c) 15 (d) 14
  38. 38.What is the mode of 15, 10, 2, 4, 2, 15 and 2? (a) 10 (b) 15 (c) 4 (d) 2
  39. 39.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 41
  40. 40.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 49 (b) 35 (c) 31 (d) 36

Answer key

  1. 21
  2. 4
  3. 15
  4. 11
  5. 10
  6. 11
  7. 22
  8. 3
  9. 12
  10. 12
  11. 18
  12. 10
  13. 11
  14. 13
  15. 11
  16. 19
  17. 29
  18. 10
  19. 15
  20. 3
  21. 10
  22. 23
  23. 14
  24. 14
  25. 21
  26. 2
  27. 16
  28. 15
  29. 12
  30. 8
  31. 31
  32. 15
  33. 39
  34. 17
  35. 9
  36. 6
  37. 14
  38. 2
  39. 33
  40. 35

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