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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 495 · 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, 6, 11, 16, 3 and 19? (a) 10 (b) 12 (c) 11 (d) 9
  2. 2.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 35
  3. 3.The mean of 6 numbers is 38. When the number 66 is added to them, what is the new mean? (a) 52 (b) 43 (c) 42 (d) 38
  4. 4.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 29 (b) 28 (c) 25 (d) 27
  5. 5.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 17
  6. 6.What is the median of 38, 12, 23, 9, 22, 1 and 3? (a) 12 (b) 22 (c) 13 (d) 9
  7. 7.What is the mean of 12, 2, 12, 16, 7 and 11? (a) 11 (b) 10 (c) 12 (d) 9
  8. 8.What is the mean of 12, 12, 7, 16 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  9. 9.What is the mean of 3, 15, 15, 7 and 5? (a) 11 (b) 9 (c) 8 (d) 10
  10. 10.What is the median of 26, 2, 3, 22 and 14? (a) 15 (b) 14 (c) 3 (d) 22
  11. 11.What is the mode of 11, 1, 1, 6, 6, 1 and 15? (a) 11 (b) 15 (c) 1 (d) 6
  12. 12.What is the median of 8, 33, 12, 3 and 27? (a) 8 (b) 27 (c) 12 (d) 13
  13. 13.The mean of 4 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 34 (b) 39 (c) 36 (d) 37
  14. 14.What is the mode of 12, 17, 17, 2, 9, 9 and 9? (a) 17 (b) 12 (c) 9 (d) 2
  15. 15.What is the mean of 5, 5, 5, 4, 9 and 8? (a) 5 (b) 8 (c) 6 (d) 7
  16. 16.What is the mean of 13, 6, 2, 17, 10 and 18? (a) 10 (b) 11 (c) 13 (d) 12
  17. 17.The mean of 5 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 42 (b) 39 (c) 38 (d) 36
  18. 18.What is the mode of 11, 9, 11, 8, 11, 17 and 17? (a) 8 (b) 11 (c) 9 (d) 17
  19. 19.What is the median of 4, 7, 19, 24 and 37? (a) 7 (b) 20 (c) 24 (d) 19
  20. 20.What is the median of 5, 30, 10, 25, 1, 16 and 8? (a) 25 (b) 10 (c) 8 (d) 16
  21. 21.What is the mean of 5, 5, 14 and 16? (a) 11 (b) 8 (c) 10 (d) 9
  22. 22.What is the median of 35, 7, 39, 40 and 16? (a) 36 (b) 16 (c) 35 (d) 39
  23. 23.What is the median of 4, 5, 6, 27, 25, 39 and 33? (a) 27 (b) 6 (c) 25 (d) 26
  24. 24.What is the mean of 9, 7, 5 and 23? (a) 11 (b) 13 (c) 12 (d) 10
  25. 25.What is the mean of 4, 20, 10, 15 and 11? (a) 13 (b) 10 (c) 15 (d) 12
  26. 26.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 17 (b) 20 (c) 18 (d) 19
  27. 27.What is the median of 2, 30, 32, 19, 29, 39 and 36? (a) 32 (b) 30 (c) 19 (d) 29
  28. 28.What is the mode of 20, 20, 10, 3, 10, 10 and 11? (a) 11 (b) 3 (c) 10 (d) 20
  29. 29.What is the median of 19, 38, 26, 4, 13, 7 and 14? (a) 13 (b) 14 (c) 4 (d) 19
  30. 30.What is the mean of 13, 10, 4, 5, 5 and 5? (a) 9 (b) 8 (c) 6 (d) 7
  31. 31.What is the median of 24, 26, 34, 38 and 35? (a) 35 (b) 26 (c) 34 (d) 33
  32. 32.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 19 (b) 12 (c) 10 (d) 13
  33. 33.What is the mean of 17, 10, 20 and 5? (a) 15 (b) 13 (c) 14 (d) 12
  34. 34.What is the median of 12, 11, 27, 6 and 10? (a) 27 (b) 10 (c) 11 (d) 12
  35. 35.What is the median of 23, 12, 31, 28, 14, 32 and 38? (a) 31 (b) 28 (c) 23 (d) 29
  36. 36.What is the mode of 1, 14, 16, 14, 11, 1 and 1? (a) 14 (b) 16 (c) 1 (d) 11
  37. 37.What is the mode of 14, 13, 13, 7, 13, 9 and 7? (a) 9 (b) 7 (c) 14 (d) 13
  38. 38.What is the mean of 4, 16, 16, 16 and 8? (a) 10 (b) 15 (c) 12 (d) 13
  39. 39.What is the median of 7, 29, 1, 32 and 28? (a) 29 (b) 1 (c) 7 (d) 28
  40. 40.What is the mean of 18, 2, 9 and 7? (a) 8 (b) 12 (c) 10 (d) 9

Answer key

  1. 10
  2. 31
  3. 42
  4. 27
  5. 19
  6. 12
  7. 10
  8. 11
  9. 9
  10. 14
  11. 1
  12. 12
  13. 36
  14. 9
  15. 6
  16. 11
  17. 38
  18. 11
  19. 19
  20. 10
  21. 10
  22. 35
  23. 25
  24. 11
  25. 12
  26. 18
  27. 30
  28. 10
  29. 14
  30. 7
  31. 34
  32. 12
  33. 13
  34. 11
  35. 28
  36. 1
  37. 13
  38. 12
  39. 28
  40. 9

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