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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 851 · 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 mean of 6, 2, 11, 13 and 8? (a) 7 (b) 10 (c) 8 (d) 9
  2. 2.What is the mean of 19, 8, 11 and 14? (a) 15 (b) 13 (c) 12 (d) 14
  3. 3.What is the mode of 3, 4, 8, 4, 8, 4 and 17? (a) 8 (b) 4 (c) 17 (d) 3
  4. 4.What is the mode of 3, 7, 3, 7, 5, 13 and 3? (a) 5 (b) 7 (c) 3 (d) 13
  5. 5.What is the mode of 5, 7, 7, 12, 18, 12 and 12? (a) 5 (b) 18 (c) 7 (d) 12
  6. 6.What is the mode of 11, 10, 6, 20, 20, 20 and 6? (a) 6 (b) 11 (c) 20 (d) 10
  7. 7.What is the median of 29, 35, 39, 8 and 25? (a) 25 (b) 29 (c) 39 (d) 35
  8. 8.What is the median of 17, 29, 20, 7, 33, 16 and 2? (a) 20 (b) 16 (c) 17 (d) 7
  9. 9.What is the median of 24, 22, 33, 23, 1, 26 and 25? (a) 22 (b) 25 (c) 24 (d) 23
  10. 10.What is the median of 38, 16, 32, 7 and 25? (a) 16 (b) 32 (c) 25 (d) 26
  11. 11.What is the mean of 17, 19, 6 and 18? (a) 20 (b) 12 (c) 15 (d) 16
  12. 12.What is the mode of 18, 14, 20, 19, 14, 14 and 20? (a) 18 (b) 14 (c) 20 (d) 19
  13. 13.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 8
  14. 14.What is the mean of 14, 10, 13 and 15? (a) 14 (b) 13 (c) 12 (d) 15
  15. 15.What is the mode of 12, 17, 6, 17, 13, 6 and 6? (a) 12 (b) 13 (c) 17 (d) 6
  16. 16.What is the mode of 12, 12, 14, 19, 3, 14 and 14? (a) 12 (b) 14 (c) 19 (d) 3
  17. 17.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 17 (b) 21 (c) 20 (d) 19
  18. 18.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 23 (b) 19 (c) 25 (d) 24
  19. 19.What is the mode of 5, 5, 12, 12, 6, 8 and 12? (a) 5 (b) 8 (c) 6 (d) 12
  20. 20.What is the mean of 6, 10, 19 and 21? (a) 13 (b) 14 (c) 16 (d) 15
  21. 21.What is the median of 6, 10, 7, 19, 21, 34 and 17? (a) 18 (b) 19 (c) 10 (d) 17
  22. 22.What is the mode of 5, 16, 5, 13, 4, 16 and 5? (a) 16 (b) 13 (c) 5 (d) 4
  23. 23.What is the median of 25, 9, 36, 13 and 7? (a) 18 (b) 13 (c) 36 (d) 25
  24. 24.What is the median of 19, 35, 22, 10 and 16? (a) 19 (b) 16 (c) 22 (d) 20
  25. 25.What is the median of 17, 2, 20, 18, 35, 10 and 26? (a) 20 (b) 18 (c) 17 (d) 19
  26. 26.What is the mean of 2, 7, 8, 13, 14 and 22? (a) 13 (b) 11 (c) 10 (d) 12
  27. 27.What is the median of 26, 10, 30, 39 and 37? (a) 31 (b) 26 (c) 37 (d) 30
  28. 28.What is the mean of 14, 2, 11, 10, 19 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  29. 29.What is the median of 9, 11, 20, 3 and 39? (a) 11 (b) 20 (c) 9 (d) 12
  30. 30.What is the mode of 15, 12, 14, 14, 9, 9 and 9? (a) 15 (b) 9 (c) 12 (d) 14
  31. 31.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 21 (b) 30 (c) 27 (d) 28
  32. 32.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 32
  33. 33.What is the median of 33, 8, 16, 18 and 24? (a) 19 (b) 18 (c) 24 (d) 16
  34. 34.What is the median of 18, 31, 19, 1 and 26? (a) 26 (b) 18 (c) 20 (d) 19
  35. 35.What is the mode of 19, 3, 19, 19, 3, 13 and 15? (a) 15 (b) 13 (c) 19 (d) 3
  36. 36.What is the mean of 2, 15, 13, 13 and 12? (a) 11 (b) 10 (c) 13 (d) 12
  37. 37.What is the mode of 5, 5, 4, 8, 5, 9 and 9? (a) 9 (b) 5 (c) 4 (d) 8
  38. 38.What is the median of 20, 17, 35, 1, 12, 39 and 16? (a) 1 (b) 17 (c) 16 (d) 20
  39. 39.What is the mean of 5, 6, 2, 10, 12 and 7? (a) 7 (b) 9 (c) 8 (d) 6
  40. 40.What is the mean of 11, 13, 20 and 8? (a) 12 (b) 15 (c) 14 (d) 13

Answer key

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

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