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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 89 · 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 mode of 6, 7, 6, 11, 6, 15 and 7? (a) 7 (b) 11 (c) 15 (d) 6
  2. 2.What is the mean of 14, 14, 6, 19 and 12? (a) 15 (b) 12 (c) 13 (d) 14
  3. 3.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 19
  4. 4.What is the median of 35, 32, 17, 34 and 19? (a) 32 (b) 34 (c) 17 (d) 19
  5. 5.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 28 (b) 19 (c) 18 (d) 14
  6. 6.What is the median of 1, 36, 17, 7 and 26? (a) 7 (b) 17 (c) 26 (d) 18
  7. 7.What is the median of 2, 18, 11, 1, 20, 13 and 29? (a) 11 (b) 1 (c) 18 (d) 13
  8. 8.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 14
  9. 9.The mean of 9 numbers is 31. When the number 41 is added to them, what is the new mean? (a) 36 (b) 33 (c) 31 (d) 32
  10. 10.What is the mode of 18, 11, 11, 9, 17, 18 and 18? (a) 9 (b) 11 (c) 17 (d) 18
  11. 11.The mean of 3 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 41 (b) 40 (c) 43 (d) 37
  12. 12.What is the mode of 5, 1, 16, 1, 20, 1 and 16? (a) 1 (b) 20 (c) 5 (d) 16
  13. 13.What is the mean of 4, 6, 6, 5 and 9? (a) 5 (b) 7 (c) 6 (d) 8
  14. 14.What is the mean of 13, 20, 2, 7, 13 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  15. 15.What is the mode of 19, 3, 13, 13, 3, 17 and 3? (a) 13 (b) 17 (c) 3 (d) 19
  16. 16.What is the median of 16, 36, 17, 37 and 31? (a) 17 (b) 36 (c) 31 (d) 32
  17. 17.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 25 (b) 41 (c) 30 (d) 29
  18. 18.What is the mean of 19, 12, 20, 4, 2 and 3? (a) 12 (b) 10 (c) 11 (d) 9
  19. 19.The mean of 4 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 41 (b) 38 (c) 40 (d) 43
  20. 20.What is the median of 17, 15, 2, 28, 35, 26 and 13? (a) 28 (b) 15 (c) 17 (d) 26
  21. 21.What is the mode of 4, 17, 8, 4, 4, 8 and 20? (a) 8 (b) 17 (c) 20 (d) 4
  22. 22.What is the mean of 5, 5, 6 and 4? (a) 6 (b) 4 (c) 5 (d) 7
  23. 23.What is the mode of 12, 4, 13, 4, 4, 12 and 16? (a) 13 (b) 12 (c) 16 (d) 4
  24. 24.What is the mode of 10, 7, 10, 18, 3, 10 and 7? (a) 3 (b) 7 (c) 10 (d) 18
  25. 25.What is the mean of 20, 12, 19, 9, 18 and 24? (a) 16 (b) 17 (c) 18 (d) 19
  26. 26.What is the mean of 5, 20, 19 and 16? (a) 15 (b) 12 (c) 20 (d) 16
  27. 27.What is the mode of 12, 4, 17, 15, 4, 4 and 15? (a) 15 (b) 12 (c) 4 (d) 17
  28. 28.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 33
  29. 29.What is the median of 23, 34, 2, 33 and 20? (a) 33 (b) 23 (c) 2 (d) 20
  30. 30.What is the mean of 3, 14, 2 and 13? (a) 7 (b) 9 (c) 10 (d) 8
  31. 31.What is the mode of 4, 7, 12, 12, 4, 12 and 5? (a) 5 (b) 12 (c) 4 (d) 7
  32. 32.The mean of 6 numbers is 18. When the number 11 is added to them, what is the new mean? (a) 18 (b) 16 (c) 19 (d) 17
  33. 33.What is the mode of 18, 12, 16, 16, 13, 13 and 16? (a) 12 (b) 18 (c) 16 (d) 13
  34. 34.What is the median of 39, 4, 9, 16, 8, 31 and 14? (a) 16 (b) 9 (c) 15 (d) 14
  35. 35.What is the median of 4, 28, 17, 8, 39, 31 and 9? (a) 28 (b) 8 (c) 9 (d) 17
  36. 36.What is the mean of 12, 7, 17, 6 and 8? (a) 10 (b) 11 (c) 9 (d) 12
  37. 37.What is the mode of 20, 20, 17, 17, 17, 15 and 9? (a) 20 (b) 9 (c) 15 (d) 17
  38. 38.What is the mean of 15, 5, 17 and 19? (a) 15 (b) 13 (c) 16 (d) 14
  39. 39.What is the mode of 8, 20, 20, 5, 7, 7 and 7? (a) 5 (b) 8 (c) 20 (d) 7
  40. 40.What is the median of 25, 6, 36, 15 and 12? (a) 25 (b) 12 (c) 36 (d) 15

Answer key

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

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