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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 628 · 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 13, 27, 19, 40 and 10? (a) 13 (b) 19 (c) 27 (d) 20
  2. 2.What is the mode of 3, 7, 12, 3, 8, 12 and 3? (a) 7 (b) 3 (c) 8 (d) 12
  3. 3.What is the median of 9, 12, 18, 3 and 24? (a) 18 (b) 12 (c) 9 (d) 13
  4. 4.What is the mode of 8, 7, 7, 8, 2, 5 and 7? (a) 2 (b) 7 (c) 5 (d) 8
  5. 5.What is the mode of 1, 9, 14, 9, 20, 9 and 14? (a) 14 (b) 9 (c) 1 (d) 20
  6. 6.What is the median of 30, 28, 24, 12, 35, 16 and 10? (a) 12 (b) 28 (c) 16 (d) 24
  7. 7.What is the mean of 4, 17, 20, 17, 13 and 19? (a) 18 (b) 16 (c) 15 (d) 14
  8. 8.The mean of 4 numbers is 31. When the number 26 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 30
  9. 9.What is the mode of 5, 12, 5, 9, 9, 6 and 5? (a) 5 (b) 9 (c) 12 (d) 6
  10. 10.What is the median of 8, 25, 1, 23 and 11? (a) 8 (b) 11 (c) 23 (d) 1
  11. 11.What is the median of 40, 36, 8, 31, 16, 19 and 11? (a) 23 (b) 31 (c) 16 (d) 19
  12. 12.What is the median of 12, 3, 35, 20 and 7? (a) 12 (b) 35 (c) 20 (d) 7
  13. 13.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 32 (b) 27 (c) 29 (d) 28
  14. 14.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 25 (b) 24 (c) 21 (d) 23
  15. 15.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 11 (b) 9 (c) 6 (d) 10
  16. 16.What is the mean of 8, 17, 19 and 16? (a) 16 (b) 20 (c) 12 (d) 15
  17. 17.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 31 (b) 29 (c) 28 (d) 26
  18. 18.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 31 (b) 28 (c) 33 (d) 30
  19. 19.What is the mode of 17, 5, 13, 5, 17, 5 and 6? (a) 17 (b) 6 (c) 13 (d) 5
  20. 20.What is the mean of 6, 7, 18, 8 and 21? (a) 13 (b) 15 (c) 12 (d) 10
  21. 21.What is the mean of 6, 19, 5, 5 and 10? (a) 10 (b) 9 (c) 11 (d) 8
  22. 22.What is the mean of 8, 11, 4, 15, 6 and 22? (a) 13 (b) 12 (c) 10 (d) 11
  23. 23.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 12 (b) 17 (c) 16 (d) 15
  24. 24.What is the mean of 17, 4, 3 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  25. 25.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 12 (b) 14 (c) 10 (d) 11
  26. 26.What is the median of 2, 13, 39, 19 and 6? (a) 6 (b) 19 (c) 39 (d) 13
  27. 27.What is the mean of 5, 4, 6, 15, 19 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  28. 28.What is the median of 13, 38, 27, 31 and 8? (a) 31 (b) 13 (c) 28 (d) 27
  29. 29.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 15
  30. 30.What is the mean of 8, 4, 16, 9, 5 and 12? (a) 10 (b) 8 (c) 11 (d) 9
  31. 31.What is the mode of 10, 11, 8, 8, 2, 10 and 10? (a) 2 (b) 8 (c) 11 (d) 10
  32. 32.What is the mean of 5, 5, 12 and 6? (a) 6 (b) 7 (c) 8 (d) 9
  33. 33.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 28 (b) 29 (c) 23 (d) 27
  34. 34.What is the mean of 18, 16, 11, 12, 3 and 6? (a) 11 (b) 12 (c) 13 (d) 10
  35. 35.What is the mean of 3, 3, 17 and 13? (a) 10 (b) 8 (c) 12 (d) 9
  36. 36.What is the mean of 16, 8, 15, 6 and 20? (a) 14 (b) 13 (c) 12 (d) 15
  37. 37.What is the mean of 20, 14, 6, 3, 13 and 16? (a) 14 (b) 12 (c) 13 (d) 11
  38. 38.What is the mode of 1, 14, 14, 5, 1, 1 and 2? (a) 2 (b) 5 (c) 1 (d) 14
  39. 39.What is the mean of 10, 6, 8 and 20? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the mode of 18, 12, 12, 5, 10, 12 and 10? (a) 5 (b) 12 (c) 18 (d) 10

Answer key

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

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