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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 802 · 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 13, 4, 8, 7 and 25? (a) 7 (b) 8 (c) 13 (d) 9
  2. 2.What is the median of 17, 10, 1, 28 and 12? (a) 1 (b) 10 (c) 12 (d) 17
  3. 3.What is the median of 40, 30, 37, 21 and 29? (a) 37 (b) 30 (c) 31 (d) 29
  4. 4.What is the mean of 19, 11, 14, 12, 4 and 6? (a) 10 (b) 11 (c) 13 (d) 12
  5. 5.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 32 (b) 28 (c) 33 (d) 31
  6. 6.What is the median of 18, 26, 27, 20 and 1? (a) 26 (b) 20 (c) 18 (d) 27
  7. 7.What is the median of 5, 13, 8, 10 and 33? (a) 11 (b) 8 (c) 10 (d) 13
  8. 8.What is the mode of 12, 4, 10, 3, 4, 4 and 12? (a) 4 (b) 10 (c) 3 (d) 12
  9. 9.What is the median of 6, 2, 20, 25, 15, 28 and 11? (a) 15 (b) 11 (c) 25 (d) 20
  10. 10.What is the mean of 12, 5, 12, 15, 5 and 17? (a) 13 (b) 10 (c) 11 (d) 12
  11. 11.What is the median of 32, 33, 6, 17 and 12? (a) 17 (b) 6 (c) 32 (d) 20
  12. 12.What is the median of 13, 39, 7, 14 and 11? (a) 11 (b) 14 (c) 7 (d) 13
  13. 13.What is the mode of 12, 7, 8, 12, 8, 12 and 17? (a) 8 (b) 7 (c) 12 (d) 17
  14. 14.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 23
  15. 15.What is the mode of 9, 19, 14, 19, 3, 19 and 14? (a) 3 (b) 19 (c) 9 (d) 14
  16. 16.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 28 (b) 29 (c) 25 (d) 27
  17. 17.What is the mode of 7, 7, 16, 20, 17, 20 and 7? (a) 17 (b) 7 (c) 20 (d) 16
  18. 18.What is the mode of 4, 12, 19, 15, 19, 19 and 15? (a) 4 (b) 15 (c) 19 (d) 12
  19. 19.What is the mode of 1, 1, 16, 5, 1, 5 and 2? (a) 1 (b) 2 (c) 5 (d) 16
  20. 20.What is the mode of 13, 13, 3, 13, 18, 11 and 3? (a) 11 (b) 13 (c) 3 (d) 18
  21. 21.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 32
  22. 22.What is the mean of 6, 5, 5 and 4? (a) 4 (b) 5 (c) 6 (d) 7
  23. 23.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 12 (b) 11 (c) 10 (d) 13
  24. 24.What is the mean of 5, 13, 18, 18, 19 and 11? (a) 13 (b) 14 (c) 15 (d) 12
  25. 25.What is the mean of 12, 18, 19 and 7? (a) 16 (b) 15 (c) 13 (d) 14
  26. 26.What is the mean of 11, 16, 13 and 16? (a) 16 (b) 14 (c) 13 (d) 15
  27. 27.What is the mean of 6, 12, 17, 5 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  28. 28.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 40 (b) 37 (c) 36 (d) 24
  29. 29.What is the mean of 3, 16, 2 and 11? (a) 7 (b) 8 (c) 9 (d) 10
  30. 30.What is the mean of 13, 17, 5, 6, 17 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  31. 31.What is the mode of 3, 13, 13, 15, 11, 11 and 11? (a) 13 (b) 15 (c) 11 (d) 3
  32. 32.What is the mean of 6, 5, 7, 14, 6 and 10? (a) 10 (b) 8 (c) 9 (d) 7
  33. 33.What is the mode of 7, 6, 6, 7, 5, 6 and 19? (a) 5 (b) 19 (c) 6 (d) 7
  34. 34.What is the mean of 13, 4, 16, 15, 9 and 15? (a) 12 (b) 11 (c) 14 (d) 13
  35. 35.The mean of 6 numbers is 30. When the number 44 is added to them, what is the new mean? (a) 37 (b) 30 (c) 32 (d) 33
  36. 36.What is the mean of 2, 11, 15, 19 and 3? (a) 11 (b) 12 (c) 10 (d) 9
  37. 37.The mean of 9 numbers is 27. When the number 67 is added to them, what is the new mean? (a) 27 (b) 32 (c) 31 (d) 47
  38. 38.What is the median of 31, 34, 22, 33, 23, 16 and 28? (a) 31 (b) 33 (c) 28 (d) 23
  39. 39.What is the mean of 7, 8, 5 and 16? (a) 12 (b) 8 (c) 9 (d) 10
  40. 40.What is the median of 9, 15, 39, 16, 27, 30 and 26? (a) 25 (b) 16 (c) 26 (d) 27

Answer key

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

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