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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 418 · 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 mode of 17, 9, 11, 17, 11, 7 and 11? (a) 9 (b) 11 (c) 17 (d) 7
  2. 2.What is the median of 3, 14, 22, 32 and 11? (a) 14 (b) 15 (c) 22 (d) 11
  3. 3.What is the mean of 14, 12, 20 and 14? (a) 15 (b) 16 (c) 12 (d) 20
  4. 4.What is the median of 13, 9, 11, 4, 6, 35 and 8? (a) 11 (b) 4 (c) 8 (d) 9
  5. 5.What is the mode of 4, 16, 8, 6, 16, 4 and 4? (a) 6 (b) 4 (c) 8 (d) 16
  6. 6.What is the median of 21, 31, 34, 23, 2, 10 and 17? (a) 17 (b) 22 (c) 23 (d) 21
  7. 7.What is the mode of 6, 3, 2, 6, 2, 11 and 6? (a) 3 (b) 11 (c) 6 (d) 2
  8. 8.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 19 (b) 29 (c) 27 (d) 28
  9. 9.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 21 (b) 17 (c) 18 (d) 13
  10. 10.What is the mean of 7, 20, 10, 3, 10 and 4? (a) 11 (b) 10 (c) 9 (d) 8
  11. 11.What is the mean of 17, 6, 14, 12, 11 and 6? (a) 13 (b) 12 (c) 11 (d) 10
  12. 12.What is the median of 14, 32, 5, 35, 37, 3 and 2? (a) 5 (b) 35 (c) 14 (d) 32
  13. 13.What is the mode of 8, 3, 2, 8, 14, 14 and 14? (a) 2 (b) 3 (c) 14 (d) 8
  14. 14.What is the mean of 19, 11, 14, 3, 3 and 10? (a) 12 (b) 10 (c) 9 (d) 11
  15. 15.What is the mode of 1, 13, 15, 10, 10, 1 and 10? (a) 1 (b) 15 (c) 10 (d) 13
  16. 16.The mean of 7 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 17 (b) 16 (c) 9 (d) 15
  17. 17.The mean of 9 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 38 (b) 45 (c) 37 (d) 35
  18. 18.What is the median of 5, 15, 7, 13 and 12? (a) 7 (b) 11 (c) 12 (d) 13
  19. 19.What is the mode of 14, 3, 17, 2, 3, 17 and 3? (a) 3 (b) 17 (c) 2 (d) 14
  20. 20.What is the median of 13, 40, 32, 12 and 5? (a) 12 (b) 14 (c) 32 (d) 13
  21. 21.What is the mean of 3, 3, 19 and 7? (a) 10 (b) 7 (c) 8 (d) 9
  22. 22.What is the mode of 8, 6, 19, 15, 8, 8 and 15? (a) 19 (b) 6 (c) 8 (d) 15
  23. 23.What is the median of 36, 10, 33, 38, 19, 22 and 27? (a) 22 (b) 27 (c) 33 (d) 38
  24. 24.What is the median of 24, 35, 10, 39, 6, 27 and 7? (a) 10 (b) 24 (c) 27 (d) 39
  25. 25.What is the mode of 2, 14, 15, 14, 16, 2 and 2? (a) 14 (b) 16 (c) 15 (d) 2
  26. 26.What is the mean of 2, 15, 14, 16, 3 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  27. 27.What is the mode of 12, 3, 8, 19, 3, 12 and 12? (a) 8 (b) 3 (c) 19 (d) 12
  28. 28.What is the mode of 15, 2, 15, 15, 8, 20 and 20? (a) 15 (b) 2 (c) 20 (d) 8
  29. 29.What is the mode of 5, 5, 3, 3, 7, 5 and 20? (a) 7 (b) 20 (c) 3 (d) 5
  30. 30.What is the mean of 18, 16, 8, 20 and 3? (a) 13 (b) 14 (c) 15 (d) 12
  31. 31.What is the median of 11, 4, 13, 7 and 27? (a) 12 (b) 13 (c) 11 (d) 7
  32. 32.What is the mean of 2, 20, 11, 11 and 6? (a) 9 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 18, 11, 17, 3, 30, 36 and 10? (a) 18 (b) 3 (c) 11 (d) 17
  34. 34.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 12 (b) 17 (c) 32 (d) 16
  35. 35.What is the mode of 4, 17, 2, 4, 2, 19 and 4? (a) 19 (b) 4 (c) 2 (d) 17
  36. 36.What is the median of 39, 31, 3, 28, 8, 19 and 38? (a) 31 (b) 19 (c) 29 (d) 28
  37. 37.What is the median of 3, 15, 29, 4, 22, 23 and 32? (a) 23 (b) 22 (c) 15 (d) 4
  38. 38.What is the median of 4, 1, 33, 8 and 16? (a) 4 (b) 8 (c) 16 (d) 33
  39. 39.The mean of 8 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 31 (b) 39 (c) 38 (d) 40
  40. 40.What is the mean of 9, 6, 2 and 3? (a) 5 (b) 6 (c) 4 (d) 7

Answer key

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

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