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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 67 · 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 mean of 5, 20, 5, 11, 4 and 21? (a) 10 (b) 12 (c) 11 (d) 13
  2. 2.What is the mode of 3, 3, 6, 17, 5, 3 and 17? (a) 6 (b) 3 (c) 5 (d) 17
  3. 3.What is the mean of 7, 12, 7 and 6? (a) 9 (b) 8 (c) 7 (d) 10
  4. 4.What is the mode of 13, 12, 2, 2, 2, 5 and 13? (a) 13 (b) 12 (c) 2 (d) 5
  5. 5.What is the median of 2, 11, 9, 16, 5, 27 and 3? (a) 11 (b) 5 (c) 16 (d) 9
  6. 6.What is the mode of 12, 12, 1, 7, 1, 1 and 9? (a) 12 (b) 7 (c) 9 (d) 1
  7. 7.What is the mean of 15, 6, 15, 12 and 22? (a) 15 (b) 16 (c) 13 (d) 14
  8. 8.What is the median of 30, 12, 19, 7 and 23? (a) 12 (b) 23 (c) 19 (d) 20
  9. 9.What is the mean of 13, 10, 3, 9, 14 and 5? (a) 9 (b) 10 (c) 8 (d) 11
  10. 10.What is the mean of 20, 2, 18, 10 and 5? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.The mean of 5 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 31
  12. 12.What is the mean of 9, 13, 18, 11 and 14? (a) 12 (b) 14 (c) 15 (d) 13
  13. 13.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 13 (b) 12 (c) 15 (d) 14
  14. 14.The mean of 5 numbers is 25. When the number 19 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 22
  15. 15.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 15 (b) 14 (c) 17 (d) 16
  16. 16.What is the mean of 2, 5, 14, 13 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  17. 17.What is the mode of 17, 1, 4, 16, 17, 17 and 1? (a) 4 (b) 16 (c) 1 (d) 17
  18. 18.What is the mode of 10, 19, 17, 10, 10, 19 and 12? (a) 19 (b) 17 (c) 12 (d) 10
  19. 19.What is the mode of 3, 17, 3, 15, 19, 3 and 17? (a) 17 (b) 19 (c) 15 (d) 3
  20. 20.What is the median of 20, 35, 15, 34 and 29? (a) 29 (b) 15 (c) 20 (d) 34
  21. 21.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 21 (b) 33 (c) 26 (d) 25
  22. 22.What is the mean of 12, 8, 14, 2, 2 and 16? (a) 8 (b) 10 (c) 11 (d) 9
  23. 23.What is the median of 19, 8, 36, 38 and 11? (a) 36 (b) 11 (c) 19 (d) 20
  24. 24.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 39
  25. 25.What is the mean of 6, 14, 18, 2 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  26. 26.What is the mean of 16, 3, 3, 2 and 6? (a) 7 (b) 5 (c) 8 (d) 6
  27. 27.What is the mode of 3, 3, 3, 5, 6, 12 and 5? (a) 12 (b) 5 (c) 6 (d) 3
  28. 28.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 36
  29. 29.What is the mean of 8, 20, 7 and 21? (a) 16 (b) 15 (c) 14 (d) 13
  30. 30.The mean of 3 numbers is 29. When the number 33 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 29
  31. 31.What is the mean of 16, 18, 2, 13, 12 and 23? (a) 15 (b) 13 (c) 14 (d) 12
  32. 32.What is the mean of 10, 15, 18 and 13? (a) 15 (b) 14 (c) 13 (d) 16
  33. 33.What is the mode of 20, 20, 20, 18, 14, 3 and 18? (a) 3 (b) 14 (c) 20 (d) 18
  34. 34.What is the mean of 6, 13, 6, 11 and 19? (a) 11 (b) 13 (c) 12 (d) 10
  35. 35.What is the median of 4, 14, 23, 5 and 2? (a) 14 (b) 5 (c) 23 (d) 4
  36. 36.What is the mode of 12, 1, 12, 19, 9, 19 and 19? (a) 19 (b) 9 (c) 1 (d) 12
  37. 37.What is the mode of 3, 3, 1, 3, 8, 8 and 17? (a) 17 (b) 1 (c) 8 (d) 3
  38. 38.What is the median of 4, 40, 15, 39, 14, 19 and 23? (a) 22 (b) 39 (c) 23 (d) 19
  39. 39.What is the median of 21, 10, 18, 17 and 29? (a) 19 (b) 21 (c) 18 (d) 17
  40. 40.What is the mean of 7, 2, 14 and 17? (a) 11 (b) 9 (c) 10 (d) 8

Answer key

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

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