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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 637 · 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 29, 24, 20, 6 and 13? (a) 21 (b) 24 (c) 20 (d) 13
  2. 2.What is the mean of 18, 4, 20, 15 and 23? (a) 17 (b) 16 (c) 20 (d) 15
  3. 3.What is the mean of 2, 10, 2 and 14? (a) 8 (b) 7 (c) 6 (d) 9
  4. 4.What is the median of 39, 34, 33, 15 and 14? (a) 15 (b) 33 (c) 34 (d) 27
  5. 5.What is the mean of 6, 15, 15, 19, 13 and 22? (a) 15 (b) 18 (c) 14 (d) 16
  6. 6.What is the mean of 20, 20, 17, 10, 13 and 16? (a) 15 (b) 16 (c) 18 (d) 17
  7. 7.What is the median of 37, 36, 29, 7 and 32? (a) 32 (b) 36 (c) 29 (d) 33
  8. 8.What is the mode of 11, 14, 12, 11, 2, 2 and 2? (a) 2 (b) 12 (c) 11 (d) 14
  9. 9.What is the mean of 18, 4, 10, 9 and 9? (a) 12 (b) 9 (c) 10 (d) 11
  10. 10.What is the mode of 6, 7, 8, 8, 12, 6 and 8? (a) 8 (b) 12 (c) 7 (d) 6
  11. 11.What is the mode of 9, 9, 8, 8, 2, 8 and 5? (a) 2 (b) 5 (c) 9 (d) 8
  12. 12.What is the mean of 15, 19, 5 and 9? (a) 11 (b) 13 (c) 12 (d) 16
  13. 13.What is the mean of 2, 4, 20, 15, 8 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  14. 14.What is the mean of 4, 15, 18, 17, 13 and 11? (a) 12 (b) 15 (c) 14 (d) 13
  15. 15.What is the mean of 14, 6, 4 and 16? (a) 11 (b) 9 (c) 8 (d) 10
  16. 16.What is the median of 8, 23, 40, 15, 38, 39 and 2? (a) 24 (b) 38 (c) 23 (d) 15
  17. 17.What is the mode of 15, 9, 2, 2, 2, 7 and 7? (a) 15 (b) 7 (c) 9 (d) 2
  18. 18.What is the mode of 18, 2, 2, 1, 2, 18 and 20? (a) 1 (b) 18 (c) 20 (d) 2
  19. 19.What is the mode of 6, 5, 11, 5, 5, 7 and 11? (a) 11 (b) 5 (c) 7 (d) 6
  20. 20.What is the mode of 2, 7, 10, 2, 2, 10 and 17? (a) 7 (b) 10 (c) 17 (d) 2
  21. 21.What is the mean of 3, 15, 13, 15, 17 and 15? (a) 15 (b) 14 (c) 13 (d) 12
  22. 22.The mean of 3 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 44 (b) 41 (c) 40 (d) 36
  23. 23.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 9
  24. 24.What is the mode of 20, 2, 4, 10, 20, 20 and 10? (a) 4 (b) 10 (c) 2 (d) 20
  25. 25.What is the mode of 2, 6, 2, 16, 5, 16 and 2? (a) 6 (b) 5 (c) 2 (d) 16
  26. 26.What is the median of 7, 26, 18, 15, 21, 6 and 2? (a) 7 (b) 15 (c) 18 (d) 16
  27. 27.What is the mode of 4, 3, 14, 4, 19, 3 and 3? (a) 14 (b) 4 (c) 3 (d) 19
  28. 28.What is the mean of 7, 6, 18 and 13? (a) 11 (b) 10 (c) 12 (d) 13
  29. 29.What is the mode of 12, 1, 1, 14, 7, 14 and 14? (a) 12 (b) 7 (c) 14 (d) 1
  30. 30.What is the median of 7, 13, 1, 11 and 27? (a) 1 (b) 13 (c) 7 (d) 11
  31. 31.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 12
  32. 32.The mean of 3 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 9 (b) 13 (c) 12 (d) 15
  33. 33.What is the mean of 14, 7, 12 and 11? (a) 11 (b) 13 (c) 12 (d) 10
  34. 34.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 19
  35. 35.The mean of 6 numbers is 34. When the number 55 is added to them, what is the new mean? (a) 36 (b) 38 (c) 34 (d) 37
  36. 36.What is the mean of 13, 15, 5 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  37. 37.What is the median of 11, 6, 13, 14, 23, 4 and 2? (a) 13 (b) 14 (c) 11 (d) 6
  38. 38.The mean of 7 numbers is 29. When the number 5 is added to them, what is the new mean? (a) 26 (b) 27 (c) 17 (d) 29
  39. 39.What is the mean of 5, 10, 10, 6, 2 and 15? (a) 7 (b) 9 (c) 8 (d) 10
  40. 40.What is the mode of 1, 10, 3, 10, 6, 6 and 6? (a) 10 (b) 1 (c) 3 (d) 6

Answer key

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

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