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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 36 · 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 11, 32, 24, 9 and 20? (a) 21 (b) 20 (c) 11 (d) 24
  2. 2.What is the mean of 9, 2, 17, 9, 4 and 19? (a) 11 (b) 10 (c) 12 (d) 9
  3. 3.What is the median of 23, 2, 24, 4 and 10? (a) 10 (b) 24 (c) 23 (d) 4
  4. 4.What is the median of 35, 1, 34, 7, 10, 31 and 27? (a) 27 (b) 7 (c) 10 (d) 31
  5. 5.What is the median of 34, 4, 16, 7, 8, 31 and 21? (a) 8 (b) 21 (c) 7 (d) 16
  6. 6.What is the mean of 2, 18, 11 and 17? (a) 16 (b) 11 (c) 13 (d) 12
  7. 7.What is the mean of 20, 5, 18, 3, 2 and 18? (a) 11 (b) 10 (c) 12 (d) 13
  8. 8.What is the mean of 18, 11, 2 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  9. 9.What is the mode of 15, 8, 6, 15, 2, 6 and 6? (a) 2 (b) 15 (c) 8 (d) 6
  10. 10.What is the mean of 3, 11, 17 and 21? (a) 13 (b) 12 (c) 15 (d) 14
  11. 11.What is the mean of 7, 10, 3, 20 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  12. 12.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 18
  13. 13.What is the mean of 2, 15, 6, 12 and 10? (a) 9 (b) 11 (c) 8 (d) 10
  14. 14.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 32 (b) 26 (c) 31 (d) 30
  15. 15.What is the mode of 4, 12, 5, 12, 5, 8 and 5? (a) 12 (b) 4 (c) 5 (d) 8
  16. 16.What is the median of 11, 1, 5, 33, 36, 30 and 14? (a) 33 (b) 11 (c) 30 (d) 14
  17. 17.The mean of 9 numbers is 21. When the number 51 is added to them, what is the new mean? (a) 36 (b) 21 (c) 25 (d) 24
  18. 18.What is the median of 18, 17, 5, 22 and 7? (a) 5 (b) 17 (c) 18 (d) 7
  19. 19.What is the median of 28, 7, 8, 32 and 10? (a) 8 (b) 28 (c) 17 (d) 10
  20. 20.The mean of 5 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 21
  21. 21.What is the median of 11, 14, 9, 30, 25, 4 and 35? (a) 25 (b) 11 (c) 14 (d) 30
  22. 22.What is the mode of 10, 16, 10, 16, 16, 3 and 2? (a) 2 (b) 3 (c) 16 (d) 10
  23. 23.What is the mean of 11, 5, 18 and 6? (a) 9 (b) 8 (c) 10 (d) 11
  24. 24.What is the mode of 20, 1, 13, 1, 8, 20 and 1? (a) 8 (b) 1 (c) 13 (d) 20
  25. 25.The mean of 7 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 42 (b) 40 (c) 43 (d) 48
  26. 26.What is the mean of 13, 17, 12, 14 and 9? (a) 12 (b) 14 (c) 13 (d) 15
  27. 27.What is the mean of 6, 8, 17, 19, 3 and 19? (a) 13 (b) 12 (c) 11 (d) 14
  28. 28.The mean of 8 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 22 (b) 20 (c) 23 (d) 29
  29. 29.What is the median of 14, 7, 37, 15 and 38? (a) 16 (b) 14 (c) 15 (d) 37
  30. 30.What is the median of 33, 40, 7, 30, 26, 17 and 2? (a) 30 (b) 17 (c) 26 (d) 27
  31. 31.What is the mean of 14, 5, 15, 5 and 16? (a) 12 (b) 11 (c) 13 (d) 10
  32. 32.What is the mean of 2, 6, 8 and 12? (a) 7 (b) 9 (c) 6 (d) 8
  33. 33.What is the mode of 7, 12, 2, 2, 2, 18 and 18? (a) 18 (b) 7 (c) 2 (d) 12
  34. 34.The mean of 9 numbers is 31. When the number 71 is added to them, what is the new mean? (a) 35 (b) 36 (c) 51 (d) 31
  35. 35.What is the mode of 5, 19, 19, 6, 19, 1 and 1? (a) 19 (b) 6 (c) 1 (d) 5
  36. 36.What is the mean of 10, 20, 17, 7, 14 and 10? (a) 15 (b) 13 (c) 12 (d) 14
  37. 37.What is the median of 25, 28, 30, 3, 15, 38 and 13? (a) 28 (b) 25 (c) 15 (d) 3
  38. 38.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 16 (b) 15 (c) 14 (d) 17
  39. 39.What is the median of 3, 6, 39, 25 and 11? (a) 25 (b) 6 (c) 11 (d) 39
  40. 40.The mean of 3 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 27 (b) 24 (c) 28 (d) 26

Answer key

  1. 20
  2. 10
  3. 10
  4. 27
  5. 16
  6. 12
  7. 11
  8. 10
  9. 6
  10. 13
  11. 10
  12. 15
  13. 9
  14. 30
  15. 5
  16. 14
  17. 24
  18. 17
  19. 10
  20. 17
  21. 14
  22. 16
  23. 10
  24. 1
  25. 42
  26. 13
  27. 12
  28. 22
  29. 15
  30. 26
  31. 11
  32. 7
  33. 2
  34. 35
  35. 19
  36. 13
  37. 25
  38. 15
  39. 11
  40. 26

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