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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 454 · 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 16, 9, 20 and 7? (a) 13 (b) 12 (c) 15 (d) 14
  2. 2.What is the median of 29, 6, 37, 5, 40, 2 and 1? (a) 5 (b) 7 (c) 6 (d) 29
  3. 3.What is the mode of 10, 2, 15, 15, 2, 1 and 15? (a) 15 (b) 1 (c) 10 (d) 2
  4. 4.What is the median of 32, 31, 4, 8, 29, 5 and 10? (a) 17 (b) 8 (c) 10 (d) 29
  5. 5.What is the mean of 8, 3, 19, 13, 13 and 16? (a) 12 (b) 11 (c) 13 (d) 14
  6. 6.What is the median of 35, 12, 37, 29, 7, 11 and 22? (a) 23 (b) 29 (c) 22 (d) 12
  7. 7.What is the mean of 2, 9, 6, 12 and 11? (a) 9 (b) 8 (c) 10 (d) 7
  8. 8.What is the median of 27, 3, 9, 18, 28, 1 and 38? (a) 19 (b) 18 (c) 9 (d) 27
  9. 9.The mean of 9 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 15 (b) 12 (c) 11 (d) 10
  10. 10.What is the mean of 15, 9, 4 and 8? (a) 10 (b) 12 (c) 9 (d) 8
  11. 11.What is the median of 4, 23, 27, 18, 3, 38 and 19? (a) 19 (b) 18 (c) 20 (d) 23
  12. 12.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 33 (b) 36 (c) 39 (d) 35
  13. 13.What is the mode of 5, 5, 14, 20, 6, 5 and 20? (a) 6 (b) 20 (c) 14 (d) 5
  14. 14.What is the mode of 13, 8, 18, 7, 13, 8 and 13? (a) 18 (b) 8 (c) 13 (d) 7
  15. 15.What is the mean of 4, 20, 19 and 13? (a) 16 (b) 13 (c) 15 (d) 14
  16. 16.What is the median of 7, 1, 8, 3, 35, 30 and 27? (a) 7 (b) 8 (c) 3 (d) 27
  17. 17.What is the mode of 12, 3, 3, 12, 17, 6 and 12? (a) 6 (b) 12 (c) 3 (d) 17
  18. 18.What is the median of 27, 25, 15, 3 and 1? (a) 3 (b) 25 (c) 16 (d) 15
  19. 19.What is the mean of 19, 10, 7 and 4? (a) 9 (b) 11 (c) 10 (d) 8
  20. 20.What is the mode of 16, 7, 7, 8, 2, 2 and 2? (a) 16 (b) 7 (c) 2 (d) 8
  21. 21.What is the median of 6, 8, 15, 37 and 24? (a) 24 (b) 8 (c) 18 (d) 15
  22. 22.What is the mode of 1, 13, 9, 9, 4, 13 and 9? (a) 9 (b) 13 (c) 1 (d) 4
  23. 23.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 23
  24. 24.What is the median of 2, 17, 11, 39 and 16? (a) 15 (b) 17 (c) 11 (d) 16
  25. 25.What is the mean of 17, 17, 8 and 18? (a) 12 (b) 20 (c) 15 (d) 16
  26. 26.What is the mode of 12, 12, 13, 4, 12, 13 and 18? (a) 13 (b) 12 (c) 4 (d) 18
  27. 27.What is the mean of 9, 8, 16, 5 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  28. 28.What is the mean of 2, 4, 14 and 8? (a) 8 (b) 7 (c) 6 (d) 9
  29. 29.What is the mode of 2, 17, 4, 4, 16, 4 and 17? (a) 4 (b) 2 (c) 17 (d) 16
  30. 30.What is the mean of 17, 12, 17, 2, 18 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  31. 31.What is the mode of 9, 7, 9, 19, 7, 9 and 18? (a) 19 (b) 7 (c) 9 (d) 18
  32. 32.What is the median of 27, 24, 39, 33, 20, 38 and 13? (a) 27 (b) 28 (c) 24 (d) 33
  33. 33.What is the mean of 20, 20, 2, 10, 18 and 8? (a) 15 (b) 12 (c) 14 (d) 13
  34. 34.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 22
  35. 35.What is the mode of 19, 19, 11, 11, 20, 18 and 19? (a) 11 (b) 18 (c) 20 (d) 19
  36. 36.What is the mean of 2, 3, 13, 13, 19 and 10? (a) 12 (b) 9 (c) 10 (d) 11
  37. 37.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 30 (b) 24 (c) 20 (d) 25
  38. 38.The mean of 4 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 17 (b) 15 (c) 12 (d) 14
  39. 39.What is the mode of 2, 17, 1, 2, 18, 18 and 18? (a) 18 (b) 1 (c) 2 (d) 17
  40. 40.What is the mode of 11, 2, 5, 2, 1, 2 and 11? (a) 5 (b) 11 (c) 1 (d) 2

Answer key

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

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