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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 832 · 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 36, 17, 27, 3, 15, 5 and 40? (a) 3 (b) 17 (c) 15 (d) 27
  2. 2.What is the mode of 12, 12, 15, 15, 15, 7 and 3? (a) 7 (b) 12 (c) 15 (d) 3
  3. 3.What is the mean of 7, 7, 8 and 6? (a) 7 (b) 8 (c) 6 (d) 9
  4. 4.What is the mode of 9, 6, 8, 8, 17, 8 and 6? (a) 17 (b) 6 (c) 8 (d) 9
  5. 5.The mean of 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 37 (b) 40 (c) 41 (d) 39
  6. 6.What is the median of 15, 6, 14, 1 and 17? (a) 15 (b) 13 (c) 6 (d) 14
  7. 7.What is the mean of 17, 17, 11, 2 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  8. 8.What is the mean of 13, 14, 5, 15 and 18? (a) 15 (b) 13 (c) 14 (d) 12
  9. 9.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17
  10. 10.What is the mean of 6, 6, 8, 19 and 21? (a) 10 (b) 12 (c) 15 (d) 13
  11. 11.What is the median of 4, 1, 8, 32 and 35? (a) 16 (b) 8 (c) 32 (d) 4
  12. 12.The mean of 5 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 22 (b) 27 (c) 26 (d) 28
  13. 13.What is the mode of 18, 3, 18, 3, 7, 3 and 17? (a) 17 (b) 7 (c) 3 (d) 18
  14. 14.What is the mean of 16, 2, 4 and 22? (a) 11 (b) 10 (c) 13 (d) 12
  15. 15.What is the mean of 4, 16, 6 and 14? (a) 11 (b) 9 (c) 10 (d) 8
  16. 16.What is the mean of 4, 20, 10 and 18? (a) 14 (b) 12 (c) 15 (d) 13
  17. 17.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 15 (b) 13 (c) 17 (d) 16
  18. 18.What is the median of 37, 5, 31, 17, 21, 8 and 38? (a) 21 (b) 17 (c) 31 (d) 22
  19. 19.What is the mean of 12, 5, 14, 13, 20 and 8? (a) 12 (b) 13 (c) 11 (d) 14
  20. 20.What is the mean of 3, 14, 8 and 15? (a) 9 (b) 11 (c) 8 (d) 10
  21. 21.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 33 (b) 35 (c) 41 (d) 36
  22. 22.What is the median of 36, 13, 12, 21, 30, 7 and 33? (a) 30 (b) 13 (c) 22 (d) 21
  23. 23.What is the mean of 6, 7, 15 and 20? (a) 11 (b) 16 (c) 13 (d) 12
  24. 24.The mean of 8 numbers is 18. When the number 54 is added to them, what is the new mean? (a) 36 (b) 22 (c) 23 (d) 18
  25. 25.The mean of 4 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 28 (b) 29 (c) 25 (d) 30
  26. 26.The mean of 8 numbers is 12. When the number 39 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 14
  27. 27.What is the median of 33, 31, 10, 3 and 25? (a) 25 (b) 26 (c) 31 (d) 10
  28. 28.What is the mean of 14, 7, 5, 12, 10 and 12? (a) 9 (b) 12 (c) 10 (d) 11
  29. 29.What is the mean of 12, 10, 2, 15, 10 and 11? (a) 12 (b) 9 (c) 10 (d) 11
  30. 30.What is the mode of 3, 4, 19, 1, 4, 19 and 19? (a) 3 (b) 1 (c) 19 (d) 4
  31. 31.What is the mode of 2, 2, 1, 10, 1, 2 and 13? (a) 1 (b) 10 (c) 2 (d) 13
  32. 32.What is the mean of 13, 8, 2 and 21? (a) 10 (b) 12 (c) 13 (d) 11
  33. 33.What is the median of 32, 31, 5, 29, 6, 27 and 37? (a) 30 (b) 29 (c) 27 (d) 31
  34. 34.What is the mode of 19, 2, 14, 15, 14, 2 and 2? (a) 19 (b) 15 (c) 2 (d) 14
  35. 35.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 10
  36. 36.What is the mean of 10, 3, 7, 4, 7 and 11? (a) 9 (b) 8 (c) 6 (d) 7
  37. 37.What is the median of 37, 10, 7, 2, 14, 4 and 6? (a) 10 (b) 6 (c) 2 (d) 7
  38. 38.What is the mode of 6, 6, 13, 12, 5, 13 and 6? (a) 12 (b) 5 (c) 6 (d) 13
  39. 39.What is the mode of 10, 13, 10, 2, 14, 13 and 13? (a) 14 (b) 10 (c) 13 (d) 2
  40. 40.What is the mean of 6, 9, 13 and 20? (a) 16 (b) 12 (c) 11 (d) 13

Answer key

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

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