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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 698 · 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 32, 5, 10, 28, 7, 15 and 33? (a) 16 (b) 28 (c) 15 (d) 10
  2. 2.What is the mean of 6, 13, 9 and 8? (a) 8 (b) 10 (c) 12 (d) 9
  3. 3.What is the mode of 11, 2, 2, 2, 3, 11 and 16? (a) 3 (b) 16 (c) 2 (d) 11
  4. 4.What is the median of 16, 37, 13, 26, 40, 19 and 6? (a) 26 (b) 19 (c) 20 (d) 16
  5. 5.What is the mode of 1, 19, 1, 10, 10, 1 and 12? (a) 10 (b) 12 (c) 1 (d) 19
  6. 6.What is the mean of 2, 5, 6, 6, 17 and 18? (a) 11 (b) 10 (c) 9 (d) 8
  7. 7.What is the mode of 11, 11, 1, 1, 1, 14 and 13? (a) 11 (b) 1 (c) 14 (d) 13
  8. 8.The mean of 4 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 36 (b) 38 (c) 33 (d) 35
  9. 9.What is the mean of 18, 6, 17 and 7? (a) 12 (b) 11 (c) 16 (d) 13
  10. 10.What is the median of 34, 28, 15, 23 and 22? (a) 15 (b) 23 (c) 22 (d) 28
  11. 11.What is the median of 35, 1, 16, 4 and 5? (a) 5 (b) 6 (c) 4 (d) 16
  12. 12.What is the median of 28, 10, 37, 34, 31, 7 and 8? (a) 34 (b) 31 (c) 28 (d) 10
  13. 13.What is the mean of 5, 4, 9 and 10? (a) 9 (b) 8 (c) 7 (d) 6
  14. 14.What is the mean of 20, 8, 3, 6, 4 and 13? (a) 9 (b) 8 (c) 10 (d) 11
  15. 15.What is the mean of 6, 19, 2, 2, 2 and 5? (a) 6 (b) 5 (c) 7 (d) 8
  16. 16.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 25 (c) 21 (d) 22
  17. 17.What is the mode of 6, 4, 2, 6, 19, 2 and 6? (a) 19 (b) 4 (c) 2 (d) 6
  18. 18.What is the mode of 8, 6, 5, 8, 15, 5 and 5? (a) 6 (b) 15 (c) 5 (d) 8
  19. 19.What is the mean of 7, 6, 13 and 10? (a) 9 (b) 8 (c) 10 (d) 12
  20. 20.What is the median of 5, 37, 25, 6, 14, 9 and 16? (a) 6 (b) 9 (c) 14 (d) 16
  21. 21.What is the median of 15, 10, 20, 3, 17, 39 and 27? (a) 20 (b) 3 (c) 15 (d) 17
  22. 22.The mean of 6 numbers is 34. When the number 62 is added to them, what is the new mean? (a) 48 (b) 34 (c) 38 (d) 39
  23. 23.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  24. 24.What is the mode of 18, 14, 4, 18, 6, 18 and 4? (a) 18 (b) 6 (c) 4 (d) 14
  25. 25.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 28 (b) 31 (c) 29 (d) 30
  26. 26.What is the mean of 4, 3, 3 and 6? (a) 5 (b) 4 (c) 6 (d) 3
  27. 27.What is the mode of 6, 3, 3, 6, 13, 6 and 20? (a) 20 (b) 6 (c) 13 (d) 3
  28. 28.What is the mean of 14, 12, 8, 4, 6 and 10? (a) 11 (b) 9 (c) 8 (d) 10
  29. 29.What is the mode of 9, 9, 15, 15, 9, 12 and 11? (a) 15 (b) 12 (c) 11 (d) 9
  30. 30.What is the median of 6, 39, 15, 23, 4, 30 and 20? (a) 23 (b) 21 (c) 20 (d) 15
  31. 31.What is the median of 15, 12, 14, 25, 6, 10 and 20? (a) 25 (b) 14 (c) 15 (d) 12
  32. 32.What is the mode of 7, 5, 1, 5, 7, 14 and 7? (a) 14 (b) 5 (c) 1 (d) 7
  33. 33.What is the mode of 19, 6, 3, 19, 19, 14 and 6? (a) 14 (b) 6 (c) 19 (d) 3
  34. 34.What is the mean of 6, 20, 10, 13 and 6? (a) 13 (b) 12 (c) 10 (d) 11
  35. 35.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  36. 36.What is the mode of 5, 12, 12, 1, 12, 7 and 7? (a) 1 (b) 5 (c) 12 (d) 7
  37. 37.The mean of 8 numbers is 37. When the number 28 is added to them, what is the new mean? (a) 35 (b) 38 (c) 37 (d) 36
  38. 38.What is the mode of 7, 7, 8, 18, 18, 1 and 18? (a) 18 (b) 8 (c) 1 (d) 7
  39. 39.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 39 (c) 38 (d) 37
  40. 40.What is the mean of 12, 7, 7, 12, 7 and 3? (a) 8 (b) 10 (c) 7 (d) 9

Answer key

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

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