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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 655 · 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 2, 3, 2, 20, 20, 2 and 17? (a) 20 (b) 3 (c) 17 (d) 2
  2. 2.What is the mean of 4, 12, 6, 18 and 20? (a) 15 (b) 13 (c) 12 (d) 10
  3. 3.What is the mode of 3, 16, 5, 3, 16, 16 and 11? (a) 3 (b) 16 (c) 11 (d) 5
  4. 4.What is the mean of 12, 7, 10, 13, 13 and 17? (a) 14 (b) 11 (c) 12 (d) 13
  5. 5.What is the median of 9, 22, 40, 28 and 37? (a) 37 (b) 28 (c) 22 (d) 40
  6. 6.What is the mode of 19, 4, 3, 11, 11, 11 and 19? (a) 4 (b) 19 (c) 3 (d) 11
  7. 7.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 42 (b) 41 (c) 37 (d) 45
  8. 8.What is the mode of 4, 2, 2, 2, 19, 4 and 6? (a) 19 (b) 2 (c) 4 (d) 6
  9. 9.What is the mean of 6, 8, 15 and 23? (a) 14 (b) 15 (c) 13 (d) 12
  10. 10.What is the median of 25, 32, 23, 1 and 26? (a) 26 (b) 23 (c) 24 (d) 25
  11. 11.What is the mean of 14, 9, 6, 6 and 5? (a) 10 (b) 9 (c) 7 (d) 8
  12. 12.What is the mean of 7, 8, 2 and 15? (a) 7 (b) 10 (c) 8 (d) 9
  13. 13.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 17
  14. 14.What is the mean of 11, 7, 19, 2, 13 and 20? (a) 11 (b) 13 (c) 14 (d) 12
  15. 15.What is the mode of 16, 2, 2, 9, 1, 2 and 9? (a) 2 (b) 1 (c) 16 (d) 9
  16. 16.What is the mode of 17, 2, 3, 2, 1, 2 and 17? (a) 17 (b) 2 (c) 1 (d) 3
  17. 17.What is the mode of 7, 16, 16, 9, 2, 9 and 16? (a) 9 (b) 7 (c) 2 (d) 16
  18. 18.What is the median of 13, 4, 6, 20 and 31? (a) 20 (b) 6 (c) 13 (d) 14
  19. 19.What is the mode of 14, 7, 1, 16, 14, 14 and 7? (a) 16 (b) 1 (c) 14 (d) 7
  20. 20.What is the median of 10, 2, 24, 39 and 15? (a) 18 (b) 15 (c) 10 (d) 24
  21. 21.What is the mean of 8, 3, 4, 12 and 13? (a) 7 (b) 8 (c) 10 (d) 9
  22. 22.What is the median of 30, 39, 4, 18 and 38? (a) 18 (b) 30 (c) 4 (d) 38
  23. 23.What is the mean of 18, 5, 12 and 5? (a) 9 (b) 8 (c) 10 (d) 11
  24. 24.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 12
  25. 25.What is the mean of 14, 5, 9, 4, 13 and 9? (a) 8 (b) 11 (c) 9 (d) 10
  26. 26.What is the mean of 16, 17, 4, 13, 7 and 3? (a) 11 (b) 12 (c) 9 (d) 10
  27. 27.What is the mode of 20, 12, 11, 11, 12, 11 and 16? (a) 11 (b) 20 (c) 12 (d) 16
  28. 28.What is the mode of 13, 7, 19, 7, 19, 17 and 19? (a) 19 (b) 13 (c) 17 (d) 7
  29. 29.What is the mode of 13, 13, 2, 18, 7, 2 and 2? (a) 7 (b) 18 (c) 2 (d) 13
  30. 30.What is the mode of 11, 2, 9, 2, 11, 11 and 13? (a) 2 (b) 11 (c) 9 (d) 13
  31. 31.What is the mean of 12, 10, 3, 19 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  32. 32.What is the mode of 18, 17, 3, 15, 3, 17 and 3? (a) 18 (b) 17 (c) 15 (d) 3
  33. 33.What is the mean of 14, 12, 16, 17, 7 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  34. 34.What is the median of 24, 10, 32, 11 and 17? (a) 17 (b) 32 (c) 24 (d) 11
  35. 35.What is the mode of 18, 12, 7, 10, 7, 12 and 12? (a) 18 (b) 7 (c) 10 (d) 12
  36. 36.What is the mean of 9, 11, 8 and 16? (a) 10 (b) 13 (c) 11 (d) 12
  37. 37.What is the median of 18, 33, 23, 40 and 13? (a) 33 (b) 18 (c) 24 (d) 23
  38. 38.What is the median of 14, 20, 16, 40 and 7? (a) 17 (b) 16 (c) 14 (d) 20
  39. 39.The mean of 8 numbers is 39. When the number 75 is added to them, what is the new mean? (a) 39 (b) 44 (c) 57 (d) 43
  40. 40.What is the mean of 17, 2, 14, 15 and 12? (a) 10 (b) 12 (c) 13 (d) 15

Answer key

  1. 2
  2. 12
  3. 16
  4. 12
  5. 28
  6. 11
  7. 41
  8. 2
  9. 13
  10. 25
  11. 8
  12. 8
  13. 17
  14. 12
  15. 2
  16. 2
  17. 16
  18. 13
  19. 14
  20. 15
  21. 8
  22. 30
  23. 10
  24. 13
  25. 9
  26. 10
  27. 11
  28. 19
  29. 2
  30. 11
  31. 11
  32. 3
  33. 14
  34. 17
  35. 12
  36. 11
  37. 23
  38. 16
  39. 43
  40. 12

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