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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 367 · 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 14, 2, 5, 10, 8 and 15? (a) 10 (b) 8 (c) 11 (d) 9
  2. 2.What is the mean of 6, 8, 13 and 21? (a) 16 (b) 12 (c) 13 (d) 11
  3. 3.What is the median of 12, 30, 40, 5, 2, 7 and 13? (a) 12 (b) 7 (c) 13 (d) 5
  4. 4.What is the mode of 5, 19, 18, 19, 5, 5 and 10? (a) 18 (b) 19 (c) 5 (d) 10
  5. 5.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 18
  6. 6.What is the mode of 17, 18, 11, 17, 11, 17 and 10? (a) 17 (b) 10 (c) 11 (d) 18
  7. 7.What is the mode of 15, 16, 6, 15, 10, 16 and 15? (a) 15 (b) 6 (c) 16 (d) 10
  8. 8.What is the mode of 9, 1, 6, 1, 6, 1 and 17? (a) 6 (b) 9 (c) 1 (d) 17
  9. 9.What is the mean of 19, 12, 6, 19 and 14? (a) 13 (b) 14 (c) 16 (d) 15
  10. 10.What is the mean of 19, 11, 10 and 16? (a) 14 (b) 13 (c) 15 (d) 16
  11. 11.What is the mean of 7, 11, 6 and 12? (a) 8 (b) 9 (c) 10 (d) 12
  12. 12.What is the median of 18, 35, 12, 8 and 5? (a) 12 (b) 18 (c) 8 (d) 13
  13. 13.The mean of 6 numbers is 34. When the number 62 is added to them, what is the new mean? (a) 48 (b) 39 (c) 38 (d) 34
  14. 14.The mean of 3 numbers is 25. When the number 37 is added to them, what is the new mean? (a) 25 (b) 31 (c) 29 (d) 28
  15. 15.The mean of 5 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 15 (b) 20 (c) 19 (d) 21
  16. 16.What is the mean of 18, 13, 11, 18 and 5? (a) 13 (b) 15 (c) 14 (d) 12
  17. 17.What is the mean of 16, 9, 3 and 8? (a) 12 (b) 10 (c) 8 (d) 9
  18. 18.What is the mode of 5, 2, 11, 11, 2, 2 and 8? (a) 11 (b) 5 (c) 2 (d) 8
  19. 19.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 40
  20. 20.What is the mode of 5, 8, 15, 17, 5, 15 and 5? (a) 5 (b) 8 (c) 15 (d) 17
  21. 21.What is the mode of 9, 1, 12, 1, 9, 1 and 8? (a) 9 (b) 12 (c) 8 (d) 1
  22. 22.The mean of 7 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 38 (b) 30 (c) 26 (d) 29
  23. 23.What is the mean of 18, 18, 19, 9 and 21? (a) 16 (b) 19 (c) 17 (d) 18
  24. 24.What is the median of 15, 11, 31, 2 and 8? (a) 8 (b) 15 (c) 11 (d) 31
  25. 25.The mean of 5 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 31 (b) 39 (c) 27 (d) 32
  26. 26.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 39
  27. 27.What is the mode of 4, 4, 2, 10, 4, 1 and 2? (a) 10 (b) 4 (c) 2 (d) 1
  28. 28.What is the mean of 18, 16, 3 and 23? (a) 15 (b) 16 (c) 20 (d) 12
  29. 29.What is the mean of 12, 18, 5, 14 and 6? (a) 13 (b) 11 (c) 10 (d) 12
  30. 30.What is the mean of 14, 2, 13 and 11? (a) 10 (b) 11 (c) 9 (d) 8
  31. 31.What is the mean of 14, 14, 4 and 12? (a) 12 (b) 13 (c) 11 (d) 10
  32. 32.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 30 (b) 33 (c) 31 (d) 32
  33. 33.What is the mode of 5, 13, 16, 5, 18, 16 and 5? (a) 16 (b) 13 (c) 5 (d) 18
  34. 34.What is the mean of 19, 19, 3, 7, 17 and 7? (a) 13 (b) 14 (c) 12 (d) 11
  35. 35.What is the median of 27, 32, 17, 25 and 30? (a) 30 (b) 17 (c) 27 (d) 25
  36. 36.What is the mode of 3, 10, 12, 10, 10, 5 and 12? (a) 3 (b) 10 (c) 5 (d) 12
  37. 37.What is the mean of 16, 5, 2, 2 and 20? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.What is the mode of 9, 14, 12, 14, 2, 12 and 14? (a) 12 (b) 14 (c) 9 (d) 2
  39. 39.What is the median of 20, 36, 40, 22 and 24? (a) 40 (b) 22 (c) 24 (d) 36
  40. 40.The mean of 7 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 30 (b) 26 (c) 28 (d) 29

Answer key

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

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