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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 840 · 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 8, 40, 19, 18 and 37? (a) 20 (b) 18 (c) 37 (d) 19
  2. 2.What is the median of 22, 3, 16, 25, 10, 12 and 26? (a) 16 (b) 22 (c) 12 (d) 25
  3. 3.What is the mean of 4, 4, 4, 8, 2 and 8? (a) 6 (b) 4 (c) 7 (d) 5
  4. 4.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 25 (b) 24 (c) 22 (d) 23
  5. 5.What is the median of 4, 19, 27, 25 and 1? (a) 27 (b) 19 (c) 25 (d) 4
  6. 6.What is the mode of 3, 2, 2, 15, 2, 15 and 12? (a) 12 (b) 2 (c) 3 (d) 15
  7. 7.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 26
  8. 8.What is the mean of 7, 4, 10 and 7? (a) 8 (b) 9 (c) 6 (d) 7
  9. 9.What is the mode of 10, 13, 6, 19, 19, 13 and 19? (a) 13 (b) 6 (c) 19 (d) 10
  10. 10.What is the mean of 11, 9, 9, 11, 18 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  11. 11.What is the median of 25, 7, 10, 18, 12, 24 and 28? (a) 18 (b) 24 (c) 12 (d) 19
  12. 12.What is the mean of 6, 18, 13 and 15? (a) 14 (b) 13 (c) 15 (d) 12
  13. 13.The mean of 6 numbers is 23. When the number 9 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 16
  14. 14.What is the mode of 10, 16, 3, 19, 10, 3 and 3? (a) 10 (b) 3 (c) 19 (d) 16
  15. 15.What is the mode of 14, 7, 5, 5, 4, 5 and 14? (a) 7 (b) 5 (c) 4 (d) 14
  16. 16.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 10 (b) 14 (c) 13 (d) 25
  17. 17.What is the mode of 5, 6, 8, 6, 5, 12 and 5? (a) 12 (b) 8 (c) 5 (d) 6
  18. 18.What is the mean of 2, 4, 9, 19, 11 and 3? (a) 8 (b) 7 (c) 10 (d) 9
  19. 19.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 45 (c) 42 (d) 41
  20. 20.What is the mean of 9, 3, 20 and 20? (a) 14 (b) 15 (c) 13 (d) 12
  21. 21.What is the mean of 11, 7, 11 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.What is the median of 9, 26, 17, 16 and 29? (a) 26 (b) 16 (c) 17 (d) 18
  23. 23.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 21
  24. 24.What is the mean of 5, 12, 4 and 15? (a) 9 (b) 12 (c) 8 (d) 10
  25. 25.What is the mode of 10, 10, 6, 1, 3, 1 and 10? (a) 10 (b) 1 (c) 3 (d) 6
  26. 26.What is the mean of 6, 16, 19, 8, 12 and 17? (a) 14 (b) 15 (c) 12 (d) 13
  27. 27.What is the mean of 2, 12, 5 and 17? (a) 9 (b) 12 (c) 8 (d) 10
  28. 28.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 28
  29. 29.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 35 (b) 36 (c) 37 (d) 38
  30. 30.What is the mean of 18, 4, 15, 8, 16 and 11? (a) 13 (b) 14 (c) 11 (d) 12
  31. 31.What is the median of 21, 5, 26, 33 and 18? (a) 21 (b) 22 (c) 26 (d) 18
  32. 32.What is the mean of 20, 4, 4 and 4? (a) 9 (b) 10 (c) 8 (d) 7
  33. 33.What is the mean of 6, 9, 8, 12, 19 and 12? (a) 10 (b) 13 (c) 12 (d) 11
  34. 34.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 28
  35. 35.What is the median of 3, 31, 10, 38, 26, 1 and 23? (a) 38 (b) 23 (c) 26 (d) 10
  36. 36.What is the median of 38, 23, 6, 9, 29, 36 and 21? (a) 23 (b) 29 (c) 21 (d) 9
  37. 37.What is the median of 34, 37, 12, 27 and 11? (a) 27 (b) 12 (c) 34 (d) 28
  38. 38.What is the median of 9, 3, 14, 35, 5, 6 and 16? (a) 14 (b) 6 (c) 35 (d) 9
  39. 39.What is the mean of 8, 18, 14, 5 and 10? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the median of 19, 4, 35, 7 and 33? (a) 19 (b) 35 (c) 7 (d) 33

Answer key

  1. 19
  2. 16
  3. 5
  4. 23
  5. 19
  6. 2
  7. 27
  8. 7
  9. 19
  10. 13
  11. 18
  12. 13
  13. 21
  14. 3
  15. 5
  16. 13
  17. 5
  18. 8
  19. 41
  20. 13
  21. 11
  22. 17
  23. 18
  24. 9
  25. 10
  26. 13
  27. 9
  28. 29
  29. 36
  30. 12
  31. 21
  32. 8
  33. 11
  34. 22
  35. 23
  36. 23
  37. 27
  38. 9
  39. 11
  40. 19

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