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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 350 · 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, 5, 2, 3 and 12? (a) 6 (b) 5 (c) 7 (d) 4
  2. 2.The mean of 8 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 35 (b) 27 (c) 34 (d) 36
  3. 3.What is the median of 5, 27, 28, 1 and 18? (a) 5 (b) 18 (c) 27 (d) 28
  4. 4.What is the mode of 3, 3, 8, 12, 3, 12 and 15? (a) 8 (b) 15 (c) 3 (d) 12
  5. 5.What is the mode of 5, 2, 5, 4, 8, 5 and 2? (a) 5 (b) 2 (c) 4 (d) 8
  6. 6.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 10
  7. 7.What is the median of 40, 12, 5, 31, 38, 1 and 23? (a) 24 (b) 23 (c) 12 (d) 31
  8. 8.What is the median of 18, 7, 27, 36, 26, 40 and 23? (a) 27 (b) 26 (c) 36 (d) 23
  9. 9.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 26 (b) 29 (c) 28 (d) 34
  10. 10.What is the median of 13, 8, 26, 6 and 32? (a) 26 (b) 8 (c) 13 (d) 17
  11. 11.What is the median of 29, 20, 5, 7 and 3? (a) 8 (b) 20 (c) 7 (d) 5
  12. 12.The mean of 6 numbers is 25. When the number 18 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 23
  13. 13.What is the mean of 5, 13, 6, 16 and 15? (a) 11 (b) 10 (c) 12 (d) 13
  14. 14.The mean of 9 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 12 (c) 10 (d) 11
  15. 15.What is the mode of 13, 13, 19, 8, 8, 8 and 18? (a) 19 (b) 18 (c) 8 (d) 13
  16. 16.What is the median of 13, 21, 6, 19, 3, 36 and 8? (a) 8 (b) 14 (c) 19 (d) 13
  17. 17.What is the median of 17, 8, 32, 10, 12, 13 and 35? (a) 17 (b) 13 (c) 10 (d) 12
  18. 18.What is the mean of 2, 8, 4 and 10? (a) 5 (b) 7 (c) 8 (d) 6
  19. 19.What is the mean of 15, 10, 5, 12 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  20. 20.The mean of 7 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 36 (b) 48 (c) 40 (d) 39
  21. 21.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 8 (c) 12 (d) 13
  22. 22.What is the mean of 15, 19, 2 and 20? (a) 14 (b) 15 (c) 13 (d) 16
  23. 23.What is the median of 30, 7, 4, 15 and 28? (a) 7 (b) 4 (c) 28 (d) 15
  24. 24.What is the median of 8, 13, 14, 15, 2, 10 and 27? (a) 10 (b) 15 (c) 13 (d) 14
  25. 25.What is the mean of 12, 14, 18, 12 and 19? (a) 17 (b) 16 (c) 14 (d) 15
  26. 26.The mean of 6 numbers is 18. When the number 32 is added to them, what is the new mean? (a) 18 (b) 25 (c) 20 (d) 21
  27. 27.The mean of 3 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 42
  28. 28.The mean of 4 numbers is 31. When the number 16 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 28
  29. 29.What is the mean of 12, 14, 20 and 18? (a) 18 (b) 16 (c) 17 (d) 15
  30. 30.What is the mode of 16, 5, 14, 5, 16, 5 and 12? (a) 16 (b) 12 (c) 14 (d) 5
  31. 31.What is the mode of 11, 2, 2, 12, 19, 12 and 12? (a) 2 (b) 19 (c) 12 (d) 11
  32. 32.What is the median of 40, 6, 25, 24 and 11? (a) 23 (b) 11 (c) 25 (d) 24
  33. 33.What is the mean of 2, 7, 11, 2, 14 and 6? (a) 6 (b) 9 (c) 8 (d) 7
  34. 34.What is the mode of 19, 7, 19, 5, 17, 19 and 5? (a) 5 (b) 7 (c) 19 (d) 17
  35. 35.What is the median of 36, 19, 13, 16 and 22? (a) 16 (b) 13 (c) 22 (d) 19
  36. 36.The mean of 4 numbers is 20. When the number 25 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 22
  37. 37.What is the mean of 14, 19, 11 and 12? (a) 13 (b) 16 (c) 15 (d) 14
  38. 38.What is the median of 10, 1, 4, 36 and 20? (a) 20 (b) 11 (c) 10 (d) 4
  39. 39.What is the mean of 6, 8, 19 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  40. 40.What is the median of 10, 27, 18, 26, 17, 9 and 36? (a) 26 (b) 19 (c) 18 (d) 17

Answer key

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

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