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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 256 · 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 3, 3, 8, 14, 6 and 8? (a) 6 (b) 7 (c) 8 (d) 9
  2. 2.What is the mode of 6, 15, 15, 5, 18, 15 and 18? (a) 5 (b) 15 (c) 6 (d) 18
  3. 3.What is the median of 9, 17, 31, 6 and 27? (a) 18 (b) 27 (c) 17 (d) 31
  4. 4.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 35 (b) 36 (c) 32 (d) 38
  5. 5.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 27
  6. 6.What is the mean of 4, 7, 18 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  7. 7.What is the mean of 19, 6, 4, 8 and 18? (a) 10 (b) 13 (c) 11 (d) 12
  8. 8.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 15 (b) 11 (c) 14 (d) 13
  9. 9.What is the mode of 13, 18, 13, 13, 19, 18 and 10? (a) 18 (b) 13 (c) 19 (d) 10
  10. 10.The mean of 6 numbers is 36. When the number 57 is added to them, what is the new mean? (a) 36 (b) 40 (c) 38 (d) 39
  11. 11.What is the mean of 9, 11, 5, 8 and 7? (a) 10 (b) 9 (c) 8 (d) 7
  12. 12.What is the mean of 10, 13, 17, 19 and 11? (a) 15 (b) 13 (c) 16 (d) 14
  13. 13.What is the mode of 2, 15, 4, 15, 15, 11 and 2? (a) 2 (b) 15 (c) 11 (d) 4
  14. 14.What is the median of 39, 17, 14, 22 and 28? (a) 22 (b) 28 (c) 14 (d) 24
  15. 15.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 41 (b) 35 (c) 36 (d) 32
  16. 16.What is the mean of 6, 4, 17, 20, 9 and 4? (a) 9 (b) 11 (c) 10 (d) 12
  17. 17.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 36 (d) 37
  18. 18.The mean of 5 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 40 (b) 36 (c) 45 (d) 39
  19. 19.What is the mean of 16, 7, 18 and 11? (a) 15 (b) 14 (c) 13 (d) 12
  20. 20.What is the mode of 18, 15, 5, 5, 5, 18 and 11? (a) 5 (b) 11 (c) 15 (d) 18
  21. 21.What is the mode of 5, 8, 9, 8, 5, 5 and 16? (a) 5 (b) 8 (c) 9 (d) 16
  22. 22.What is the mean of 10, 10, 9 and 15? (a) 12 (b) 13 (c) 11 (d) 10
  23. 23.What is the median of 34, 13, 1, 3 and 22? (a) 22 (b) 13 (c) 1 (d) 3
  24. 24.What is the median of 36, 17, 3, 10, 2, 25 and 1? (a) 10 (b) 17 (c) 3 (d) 11
  25. 25.The mean of 7 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 23 (b) 11 (c) 15 (d) 14
  26. 26.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 29 (b) 28 (c) 22 (d) 27
  27. 27.What is the median of 33, 27, 19, 8 and 22? (a) 27 (b) 19 (c) 22 (d) 23
  28. 28.What is the median of 35, 8, 15, 11 and 3? (a) 8 (b) 15 (c) 11 (d) 12
  29. 29.What is the median of 34, 1, 10, 21 and 6? (a) 6 (b) 21 (c) 11 (d) 10
  30. 30.What is the mean of 17, 16, 2 and 17? (a) 14 (b) 15 (c) 13 (d) 12
  31. 31.What is the mean of 6, 18, 13 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  32. 32.What is the median of 14, 3, 13, 21 and 25? (a) 13 (b) 21 (c) 15 (d) 14
  33. 33.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 14 (b) 15 (c) 12 (d) 13
  34. 34.What is the mode of 13, 13, 6, 12, 12, 17 and 13? (a) 12 (b) 6 (c) 13 (d) 17
  35. 35.What is the median of 26, 30, 3, 4 and 22? (a) 3 (b) 26 (c) 22 (d) 17
  36. 36.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 19 (b) 11 (c) 14 (d) 13
  37. 37.What is the median of 18, 39, 20, 28, 23, 29 and 22? (a) 28 (b) 22 (c) 24 (d) 23
  38. 38.What is the mode of 9, 9, 9, 10, 20, 1 and 10? (a) 10 (b) 20 (c) 9 (d) 1
  39. 39.What is the mean of 11, 5, 7 and 5? (a) 9 (b) 8 (c) 7 (d) 6
  40. 40.What is the mean of 6, 6, 5, 5, 20 and 18? (a) 9 (b) 11 (c) 12 (d) 10

Answer key

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

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