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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 159 · 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.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 19 (b) 15 (c) 23 (d) 20
  2. 2.What is the median of 8, 14, 32, 19, 12, 39 and 24? (a) 20 (b) 14 (c) 24 (d) 19
  3. 3.The mean of 5 numbers is 24. When the number 48 is added to them, what is the new mean? (a) 28 (b) 24 (c) 36 (d) 29
  4. 4.What is the median of 26, 9, 12, 32 and 21? (a) 26 (b) 12 (c) 21 (d) 20
  5. 5.What is the mode of 19, 19, 9, 4, 5, 4 and 19? (a) 4 (b) 5 (c) 9 (d) 19
  6. 6.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 38
  7. 7.What is the median of 15, 12, 30, 34 and 40? (a) 34 (b) 31 (c) 30 (d) 15
  8. 8.What is the mode of 7, 11, 7, 19, 12, 11 and 11? (a) 7 (b) 12 (c) 19 (d) 11
  9. 9.What is the mode of 7, 9, 12, 9, 12, 4 and 12? (a) 4 (b) 9 (c) 12 (d) 7
  10. 10.What is the mode of 19, 3, 1, 3, 17, 19 and 3? (a) 3 (b) 1 (c) 19 (d) 17
  11. 11.What is the median of 1, 13, 14, 20 and 27? (a) 13 (b) 14 (c) 15 (d) 20
  12. 12.What is the mode of 6, 1, 6, 17, 1, 1 and 13? (a) 17 (b) 6 (c) 1 (d) 13
  13. 13.What is the mean of 15, 20, 8 and 13? (a) 15 (b) 16 (c) 14 (d) 13
  14. 14.What is the median of 30, 16, 25, 1, 4, 34 and 12? (a) 25 (b) 1 (c) 12 (d) 16
  15. 15.What is the mode of 6, 17, 20, 6, 18, 6 and 18? (a) 17 (b) 6 (c) 20 (d) 18
  16. 16.What is the median of 9, 36, 35, 10, 38, 40 and 16? (a) 10 (b) 36 (c) 16 (d) 35
  17. 17.What is the mean of 2, 16, 20 and 6? (a) 10 (b) 13 (c) 11 (d) 12
  18. 18.What is the mean of 14, 6, 7 and 17? (a) 13 (b) 12 (c) 10 (d) 11
  19. 19.What is the mean of 13, 6, 16, 9 and 16? (a) 15 (b) 12 (c) 13 (d) 10
  20. 20.What is the median of 6, 7, 12, 24, 2, 3 and 39? (a) 24 (b) 6 (c) 7 (d) 12
  21. 21.What is the median of 37, 13, 3, 10 and 16? (a) 3 (b) 13 (c) 10 (d) 16
  22. 22.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 42 (b) 40 (c) 43 (d) 41
  23. 23.What is the mean of 20, 2, 2, 7, 5 and 18? (a) 8 (b) 9 (c) 11 (d) 10
  24. 24.What is the mean of 12, 6, 3, 9 and 5? (a) 8 (b) 6 (c) 7 (d) 9
  25. 25.The mean of 6 numbers is 17. When the number 24 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  26. 26.What is the mode of 13, 18, 12, 12, 13, 12 and 1? (a) 1 (b) 12 (c) 13 (d) 18
  27. 27.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 37 (b) 28 (c) 38 (d) 36
  28. 28.What is the mean of 10, 7, 3 and 12? (a) 9 (b) 7 (c) 8 (d) 10
  29. 29.What is the mean of 19, 14, 20, 5, 17 and 9? (a) 13 (b) 15 (c) 14 (d) 12
  30. 30.The mean of 8 numbers is 19. When the number 10 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 18
  31. 31.What is the mean of 7, 15, 16, 4, 5 and 19? (a) 10 (b) 13 (c) 12 (d) 11
  32. 32.The mean of 6 numbers is 20. When the number 41 is added to them, what is the new mean? (a) 22 (b) 24 (c) 20 (d) 23
  33. 33.What is the mean of 4, 7, 5, 13 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  34. 34.What is the mean of 12, 18, 15, 14 and 16? (a) 14 (b) 16 (c) 17 (d) 15
  35. 35.What is the median of 20, 40, 26, 23 and 11? (a) 20 (b) 26 (c) 23 (d) 24
  36. 36.What is the mode of 18, 20, 18, 6, 11, 20 and 18? (a) 6 (b) 11 (c) 18 (d) 20
  37. 37.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 13
  38. 38.What is the mode of 20, 7, 15, 15, 20, 20 and 13? (a) 7 (b) 20 (c) 15 (d) 13
  39. 39.What is the median of 28, 33, 29, 9 and 13? (a) 27 (b) 29 (c) 13 (d) 28
  40. 40.What is the mean of 4, 14, 6, 17, 12 and 7? (a) 11 (b) 12 (c) 9 (d) 10

Answer key

  1. 19
  2. 19
  3. 28
  4. 21
  5. 19
  6. 39
  7. 30
  8. 11
  9. 12
  10. 3
  11. 14
  12. 1
  13. 14
  14. 16
  15. 6
  16. 35
  17. 11
  18. 11
  19. 12
  20. 7
  21. 13
  22. 41
  23. 9
  24. 7
  25. 18
  26. 12
  27. 36
  28. 8
  29. 14
  30. 18
  31. 11
  32. 23
  33. 7
  34. 15
  35. 23
  36. 18
  37. 13
  38. 20
  39. 28
  40. 10

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