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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 37 · 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, 10, 17, 12 and 18? (a) 15 (b) 12 (c) 13 (d) 10
  2. 2.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 29 (b) 38 (c) 37 (d) 36
  3. 3.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
  4. 4.The mean of 6 numbers is 32. When the number 11 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 32
  5. 5.What is the mean of 6, 6, 15, 19 and 4? (a) 10 (b) 9 (c) 11 (d) 12
  6. 6.The mean of 5 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 19 (b) 14 (c) 13 (d) 10
  7. 7.What is the mean of 9, 14, 6 and 11? (a) 9 (b) 8 (c) 11 (d) 10
  8. 8.What is the median of 8, 28, 9, 1, 20, 12 and 23? (a) 9 (b) 12 (c) 20 (d) 1
  9. 9.What is the mean of 7, 9, 8 and 20? (a) 13 (b) 12 (c) 10 (d) 11
  10. 10.What is the median of 40, 30, 5, 28, 38, 7 and 23? (a) 28 (b) 29 (c) 23 (d) 30
  11. 11.What is the median of 19, 25, 3, 38 and 17? (a) 17 (b) 25 (c) 3 (d) 19
  12. 12.What is the mode of 19, 20, 20, 4, 6, 20 and 19? (a) 19 (b) 6 (c) 20 (d) 4
  13. 13.What is the mean of 17, 6, 13, 20, 8 and 20? (a) 15 (b) 14 (c) 12 (d) 13
  14. 14.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 9
  15. 15.What is the mean of 8, 6, 15, 4 and 12? (a) 11 (b) 9 (c) 10 (d) 8
  16. 16.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 31 (b) 35 (c) 32 (d) 33
  17. 17.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 20 (b) 27 (c) 21 (d) 18
  18. 18.What is the mode of 16, 4, 6, 6, 6, 4 and 8? (a) 16 (b) 8 (c) 6 (d) 4
  19. 19.What is the mode of 8, 8, 15, 13, 13, 10 and 13? (a) 8 (b) 15 (c) 10 (d) 13
  20. 20.What is the mode of 18, 13, 13, 7, 18, 15 and 18? (a) 7 (b) 13 (c) 18 (d) 15
  21. 21.What is the mean of 7, 5, 3, 6, 11 and 10? (a) 9 (b) 7 (c) 8 (d) 6
  22. 22.The mean of 9 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 38 (b) 29 (c) 37 (d) 39
  23. 23.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 25 (b) 23 (c) 16 (d) 24
  24. 24.What is the median of 10, 26, 38, 32 and 37? (a) 32 (b) 37 (c) 38 (d) 26
  25. 25.What is the mean of 11, 11, 8, 18, 2 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  26. 26.What is the mode of 15, 7, 15, 7, 4, 15 and 18? (a) 4 (b) 7 (c) 18 (d) 15
  27. 27.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
  28. 28.What is the median of 1, 8, 18, 30 and 4? (a) 18 (b) 4 (c) 8 (d) 9
  29. 29.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 43 (b) 40 (c) 42 (d) 41
  30. 30.What is the mode of 13, 5, 16, 16, 18, 16 and 18? (a) 16 (b) 18 (c) 13 (d) 5
  31. 31.What is the mean of 14, 5, 7 and 2? (a) 6 (b) 9 (c) 8 (d) 7
  32. 32.What is the median of 11, 1, 26, 35, 31, 9 and 2? (a) 26 (b) 9 (c) 11 (d) 35
  33. 33.What is the mode of 2, 13, 4, 13, 13, 2 and 6? (a) 2 (b) 13 (c) 4 (d) 6
  34. 34.What is the mean of 10, 20, 19, 2, 2 and 25? (a) 12 (b) 14 (c) 13 (d) 15
  35. 35.What is the mean of 5, 15, 12, 5 and 8? (a) 11 (b) 8 (c) 9 (d) 10
  36. 36.What is the median of 23, 27, 24, 34 and 26? (a) 25 (b) 24 (c) 27 (d) 26
  37. 37.What is the mean of 8, 17, 7, 5 and 13? (a) 11 (b) 9 (c) 10 (d) 12
  38. 38.What is the mean of 3, 8, 5 and 20? (a) 12 (b) 8 (c) 10 (d) 9
  39. 39.What is the median of 26, 16, 29, 10 and 17? (a) 16 (b) 29 (c) 26 (d) 17
  40. 40.What is the mode of 7, 20, 15, 17, 7, 20 and 7? (a) 7 (b) 20 (c) 15 (d) 17

Answer key

  1. 12
  2. 36
  3. 14
  4. 29
  5. 10
  6. 13
  7. 10
  8. 12
  9. 11
  10. 28
  11. 19
  12. 20
  13. 14
  14. 9
  15. 9
  16. 32
  17. 20
  18. 6
  19. 13
  20. 18
  21. 7
  22. 37
  23. 23
  24. 32
  25. 10
  26. 15
  27. 13
  28. 8
  29. 41
  30. 16
  31. 7
  32. 11
  33. 13
  34. 13
  35. 9
  36. 26
  37. 10
  38. 9
  39. 17
  40. 7

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