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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 516 · 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 7, 20, 4 and 21? (a) 15 (b) 13 (c) 14 (d) 12
  2. 2.What is the median of 29, 20, 8, 21 and 15? (a) 21 (b) 20 (c) 8 (d) 15
  3. 3.What is the mode of 11, 4, 7, 4, 7, 7 and 9? (a) 11 (b) 9 (c) 7 (d) 4
  4. 4.What is the median of 1, 37, 10, 36, 28, 27 and 25? (a) 28 (b) 36 (c) 25 (d) 27
  5. 5.The mean of 8 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 23 (b) 24 (c) 30 (d) 21
  6. 6.What is the mean of 19, 20, 6, 12 and 8? (a) 13 (b) 14 (c) 12 (d) 15
  7. 7.What is the mean of 19, 17, 13, 18 and 8? (a) 14 (b) 16 (c) 15 (d) 17
  8. 8.What is the mean of 8, 7, 10, 7 and 3? (a) 8 (b) 9 (c) 7 (d) 6
  9. 9.What is the median of 31, 34, 39, 24 and 26? (a) 26 (b) 34 (c) 39 (d) 31
  10. 10.What is the mode of 8, 4, 1, 3, 8, 3 and 8? (a) 8 (b) 3 (c) 1 (d) 4
  11. 11.What is the median of 40, 7, 10, 6 and 35? (a) 10 (b) 35 (c) 7 (d) 11
  12. 12.What is the mean of 19, 15, 2 and 20? (a) 14 (b) 16 (c) 13 (d) 15
  13. 13.What is the median of 30, 9, 24, 35 and 31? (a) 24 (b) 30 (c) 29 (d) 31
  14. 14.What is the mean of 3, 12, 13, 10, 19 and 21? (a) 14 (b) 15 (c) 12 (d) 13
  15. 15.What is the median of 24, 19, 30, 8 and 27? (a) 30 (b) 27 (c) 24 (d) 19
  16. 16.What is the mean of 14, 6, 5 and 11? (a) 12 (b) 8 (c) 10 (d) 9
  17. 17.What is the median of 6, 20, 30, 14 and 27? (a) 30 (b) 20 (c) 27 (d) 14
  18. 18.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 25 (b) 21 (c) 24 (d) 26
  19. 19.What is the median of 13, 28, 38, 16 and 8? (a) 13 (b) 38 (c) 28 (d) 16
  20. 20.What is the mode of 20, 13, 13, 1, 13, 5 and 5? (a) 13 (b) 20 (c) 5 (d) 1
  21. 21.What is the median of 36, 27, 35, 10 and 32? (a) 32 (b) 27 (c) 28 (d) 35
  22. 22.What is the mode of 1, 5, 1, 7, 5, 19 and 1? (a) 7 (b) 5 (c) 19 (d) 1
  23. 23.What is the median of 14, 13, 27, 10, 34, 2 and 29? (a) 13 (b) 10 (c) 14 (d) 27
  24. 24.What is the mode of 5, 5, 14, 16, 20, 5 and 16? (a) 5 (b) 14 (c) 16 (d) 20
  25. 25.What is the mean of 11, 2, 2, 2, 18 and 19? (a) 10 (b) 9 (c) 11 (d) 8
  26. 26.What is the mode of 13, 18, 18, 10, 18, 11 and 13? (a) 18 (b) 10 (c) 11 (d) 13
  27. 27.What is the median of 14, 10, 38, 31, 6, 15 and 22? (a) 15 (b) 22 (c) 14 (d) 31
  28. 28.The mean of 6 numbers is 29. When the number 1 is added to them, what is the new mean? (a) 29 (b) 26 (c) 25 (d) 15
  29. 29.What is the mean of 9, 19, 17, 5 and 20? (a) 15 (b) 16 (c) 13 (d) 14
  30. 30.What is the median of 7, 13, 24, 9 and 11? (a) 13 (b) 11 (c) 9 (d) 24
  31. 31.What is the median of 30, 12, 40, 24 and 5? (a) 12 (b) 30 (c) 24 (d) 40
  32. 32.What is the mean of 5, 7, 20, 16, 17 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  33. 33.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 33
  34. 34.What is the mean of 6, 18, 5, 18, 5 and 20? (a) 14 (b) 13 (c) 12 (d) 11
  35. 35.What is the mean of 4, 3, 18, 7, 18 and 10? (a) 9 (b) 10 (c) 12 (d) 11
  36. 36.What is the median of 22, 10, 16, 19 and 21? (a) 16 (b) 19 (c) 20 (d) 21
  37. 37.What is the median of 7, 9, 3, 22 and 14? (a) 9 (b) 11 (c) 14 (d) 3
  38. 38.What is the mean of 6, 17, 18, 10 and 14? (a) 12 (b) 14 (c) 15 (d) 13
  39. 39.What is the median of 34, 36, 2, 1, 31, 32 and 29? (a) 31 (b) 32 (c) 29 (d) 1
  40. 40.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 15

Answer key

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

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