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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 808 · 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 18, 17, 26, 11 and 7? (a) 26 (b) 18 (c) 17 (d) 11
  2. 2.What is the mean of 3, 19, 18 and 20? (a) 20 (b) 12 (c) 16 (d) 15
  3. 3.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 19
  4. 4.What is the mean of 7, 6, 4, 11, 6 and 20? (a) 8 (b) 11 (c) 9 (d) 10
  5. 5.What is the mean of 5, 4, 11, 11, 5 and 12? (a) 7 (b) 10 (c) 8 (d) 9
  6. 6.What is the mode of 18, 11, 17, 17, 5, 17 and 18? (a) 11 (b) 5 (c) 18 (d) 17
  7. 7.What is the mean of 3, 2, 7, 13, 3 and 20? (a) 10 (b) 9 (c) 7 (d) 8
  8. 8.What is the mode of 13, 19, 13, 19, 3, 14 and 13? (a) 19 (b) 13 (c) 3 (d) 14
  9. 9.What is the mean of 19, 4, 6, 12, 7 and 24? (a) 13 (b) 11 (c) 12 (d) 14
  10. 10.What is the mode of 11, 19, 3, 3, 2, 3 and 2? (a) 11 (b) 2 (c) 19 (d) 3
  11. 11.What is the median of 7, 27, 17, 23, 24, 8 and 12? (a) 17 (b) 23 (c) 12 (d) 18
  12. 12.What is the mode of 5, 13, 5, 13, 3, 16 and 5? (a) 13 (b) 5 (c) 16 (d) 3
  13. 13.What is the mode of 15, 1, 5, 2, 15, 15 and 1? (a) 5 (b) 2 (c) 1 (d) 15
  14. 14.What is the mode of 15, 3, 15, 14, 16, 16 and 15? (a) 15 (b) 3 (c) 16 (d) 14
  15. 15.What is the mean of 20, 6, 4, 9 and 6? (a) 10 (b) 8 (c) 9 (d) 11
  16. 16.What is the mode of 6, 12, 19, 6, 18, 19 and 6? (a) 12 (b) 6 (c) 18 (d) 19
  17. 17.What is the median of 7, 19, 28, 24 and 8? (a) 8 (b) 19 (c) 24 (d) 28
  18. 18.What is the mode of 11, 11, 13, 13, 11, 10 and 15? (a) 15 (b) 11 (c) 10 (d) 13
  19. 19.What is the mean of 11, 19, 19, 20, 20 and 13? (a) 18 (b) 19 (c) 16 (d) 17
  20. 20.What is the median of 15, 17, 37, 31, 4, 21 and 27? (a) 31 (b) 27 (c) 17 (d) 21
  21. 21.What is the median of 20, 40, 37, 34, 19, 29 and 39? (a) 34 (b) 35 (c) 37 (d) 29
  22. 22.What is the mean of 3, 19, 7 and 19? (a) 11 (b) 16 (c) 13 (d) 12
  23. 23.What is the mode of 15, 3, 2, 3, 4, 3 and 4? (a) 4 (b) 2 (c) 15 (d) 3
  24. 24.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  25. 25.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  26. 26.What is the mean of 10, 20, 16 and 22? (a) 16 (b) 17 (c) 19 (d) 18
  27. 27.What is the mean of 17, 10, 10, 4 and 19? (a) 15 (b) 13 (c) 10 (d) 12
  28. 28.What is the mode of 3, 10, 3, 16, 19, 10 and 10? (a) 10 (b) 3 (c) 19 (d) 16
  29. 29.What is the mean of 6, 5, 7, 20 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  30. 30.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 37 (b) 39 (c) 35 (d) 36
  31. 31.What is the mean of 8, 17, 2, 9 and 14? (a) 12 (b) 11 (c) 9 (d) 10
  32. 32.What is the mean of 16, 7, 3, 20, 14 and 6? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 23 (b) 24 (c) 27 (d) 22
  34. 34.What is the mean of 2, 19, 4, 17 and 8? (a) 11 (b) 9 (c) 12 (d) 10
  35. 35.What is the mean of 8, 4, 14 and 18? (a) 12 (b) 10 (c) 13 (d) 11
  36. 36.What is the mode of 3, 2, 3, 19, 3, 2 and 7? (a) 7 (b) 19 (c) 3 (d) 2
  37. 37.What is the median of 9, 19, 10, 11, 39, 24 and 15? (a) 19 (b) 16 (c) 15 (d) 11
  38. 38.What is the mode of 20, 3, 9, 5, 20, 9 and 9? (a) 3 (b) 5 (c) 20 (d) 9
  39. 39.What is the mode of 19, 7, 4, 1, 7, 1 and 1? (a) 1 (b) 19 (c) 4 (d) 7
  40. 40.What is the mean of 17, 3, 7 and 5? (a) 9 (b) 10 (c) 7 (d) 8

Answer key

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

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