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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 729 · 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 15, 16, 4 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  2. 2.What is the median of 11, 6, 8, 3 and 23? (a) 6 (b) 11 (c) 8 (d) 9
  3. 3.What is the median of 40, 5, 33, 16, 6, 20 and 24? (a) 24 (b) 20 (c) 16 (d) 21
  4. 4.What is the median of 39, 2, 34, 17 and 11? (a) 34 (b) 11 (c) 18 (d) 17
  5. 5.What is the mode of 8, 13, 13, 13, 3, 6 and 6? (a) 13 (b) 6 (c) 3 (d) 8
  6. 6.What is the mean of 5, 11, 18 and 14? (a) 12 (b) 16 (c) 11 (d) 13
  7. 7.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 34
  8. 8.What is the mode of 4, 18, 4, 18, 18, 9 and 17? (a) 4 (b) 18 (c) 17 (d) 9
  9. 9.What is the mean of 7, 19, 17, 9, 20 and 18? (a) 18 (b) 15 (c) 16 (d) 14
  10. 10.What is the mean of 12, 8, 7, 2, 7 and 18? (a) 10 (b) 11 (c) 8 (d) 9
  11. 11.What is the mode of 5, 18, 18, 13, 18, 13 and 12? (a) 13 (b) 12 (c) 5 (d) 18
  12. 12.What is the median of 9, 15, 1, 38 and 14? (a) 1 (b) 9 (c) 15 (d) 14
  13. 13.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 33 (c) 38 (d) 37
  14. 14.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 18 (b) 14 (c) 17 (d) 19
  15. 15.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 18 (c) 19 (d) 20
  16. 16.What is the median of 23, 27, 35, 8 and 12? (a) 21 (b) 35 (c) 27 (d) 23
  17. 17.What is the mean of 20, 7, 13, 15, 4 and 7? (a) 12 (b) 13 (c) 10 (d) 11
  18. 18.What is the mode of 3, 3, 1, 12, 1, 11 and 3? (a) 12 (b) 1 (c) 3 (d) 11
  19. 19.The mean of 7 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 21
  20. 20.What is the mean of 6, 7, 18 and 17? (a) 11 (b) 12 (c) 16 (d) 13
  21. 21.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 9
  22. 22.What is the mean of 2, 2, 5, 3 and 8? (a) 6 (b) 3 (c) 4 (d) 5
  23. 23.What is the mode of 5, 5, 12, 12, 10, 5 and 9? (a) 12 (b) 9 (c) 5 (d) 10
  24. 24.What is the mode of 5, 18, 18, 20, 10, 5 and 18? (a) 5 (b) 20 (c) 10 (d) 18
  25. 25.What is the mean of 8, 9, 15 and 8? (a) 11 (b) 8 (c) 10 (d) 9
  26. 26.What is the mean of 3, 17, 17, 7 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  27. 27.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 15 (b) 30 (c) 19 (d) 18
  28. 28.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  29. 29.What is the median of 13, 33, 2, 26, 3, 37 and 1? (a) 3 (b) 14 (c) 26 (d) 13
  30. 30.What is the median of 10, 2, 9, 24, 6, 5 and 3? (a) 6 (b) 5 (c) 9 (d) 24
  31. 31.What is the mode of 6, 18, 18, 3, 19, 3 and 3? (a) 18 (b) 6 (c) 3 (d) 19
  32. 32.What is the median of 19, 24, 7, 35 and 31? (a) 19 (b) 31 (c) 7 (d) 24
  33. 33.What is the median of 5, 7, 10, 12, 23, 25 and 30? (a) 10 (b) 23 (c) 12 (d) 16
  34. 34.What is the mean of 7, 9, 12, 18, 9 and 11? (a) 11 (b) 12 (c) 10 (d) 13
  35. 35.What is the mode of 19, 4, 19, 4, 15, 19 and 6? (a) 15 (b) 6 (c) 4 (d) 19
  36. 36.What is the median of 27, 29, 26, 33, 7, 21 and 15? (a) 33 (b) 27 (c) 21 (d) 26
  37. 37.What is the mean of 6, 16, 9, 14 and 10? (a) 10 (b) 12 (c) 11 (d) 13
  38. 38.What is the median of 3, 13, 6, 12 and 5? (a) 12 (b) 5 (c) 7 (d) 6
  39. 39.What is the mean of 5, 4, 2, 8 and 16? (a) 6 (b) 8 (c) 7 (d) 9
  40. 40.What is the mode of 3, 14, 14, 10, 14, 6 and 10? (a) 3 (b) 10 (c) 14 (d) 6

Answer key

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

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