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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 134 · 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 mode of 7, 6, 6, 6, 11, 18 and 11? (a) 11 (b) 7 (c) 6 (d) 18
  2. 2.What is the mean of 2, 5, 7, 7 and 19? (a) 10 (b) 8 (c) 7 (d) 9
  3. 3.What is the mean of 6, 16, 10 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  4. 4.What is the mode of 5, 10, 5, 6, 16, 10 and 10? (a) 16 (b) 6 (c) 5 (d) 10
  5. 5.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 41 (b) 40 (c) 36 (d) 48
  6. 6.What is the median of 10, 6, 5, 23 and 25? (a) 6 (b) 23 (c) 10 (d) 5
  7. 7.What is the mode of 6, 9, 4, 8, 4, 8 and 4? (a) 4 (b) 6 (c) 8 (d) 9
  8. 8.What is the mean of 9, 14, 2 and 11? (a) 9 (b) 10 (c) 12 (d) 8
  9. 9.What is the mode of 10, 10, 10, 2, 2, 1 and 15? (a) 2 (b) 1 (c) 10 (d) 15
  10. 10.What is the median of 28, 8, 38, 10 and 39? (a) 38 (b) 29 (c) 10 (d) 28
  11. 11.What is the median of 27, 18, 20, 39 and 2? (a) 18 (b) 20 (c) 27 (d) 21
  12. 12.What is the mean of 8, 11, 12, 18, 14 and 15? (a) 13 (b) 12 (c) 14 (d) 15
  13. 13.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 20 (b) 25 (c) 22 (d) 23
  14. 14.What is the mode of 17, 15, 6, 20, 20, 15 and 15? (a) 17 (b) 20 (c) 6 (d) 15
  15. 15.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 29 (b) 33 (c) 32 (d) 34
  16. 16.What is the mean of 14, 5, 4 and 13? (a) 9 (b) 10 (c) 8 (d) 12
  17. 17.The mean of 8 numbers is 13. When the number 40 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 13
  18. 18.What is the mean of 3, 2, 19 and 4? (a) 7 (b) 9 (c) 6 (d) 8
  19. 19.What is the mode of 8, 15, 11, 8, 3, 8 and 15? (a) 15 (b) 3 (c) 11 (d) 8
  20. 20.What is the mean of 20, 10, 15, 5 and 10? (a) 15 (b) 10 (c) 13 (d) 12
  21. 21.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 31
  22. 22.What is the mean of 20, 19, 12, 19, 11 and 9? (a) 16 (b) 15 (c) 14 (d) 18
  23. 23.What is the median of 33, 32, 1, 4, 18, 23 and 14? (a) 4 (b) 18 (c) 14 (d) 23
  24. 24.What is the median of 38, 7, 18, 11 and 12? (a) 13 (b) 18 (c) 12 (d) 11
  25. 25.What is the mean of 13, 2, 16 and 5? (a) 8 (b) 9 (c) 10 (d) 12
  26. 26.What is the mode of 6, 12, 18, 19, 6, 12 and 6? (a) 12 (b) 19 (c) 18 (d) 6
  27. 27.What is the mode of 13, 16, 3, 16, 8, 16 and 13? (a) 16 (b) 3 (c) 8 (d) 13
  28. 28.The mean of 3 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 39 (b) 31 (c) 36 (d) 35
  29. 29.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 10 (b) 16 (c) 17 (d) 18
  30. 30.What is the median of 17, 35, 40, 16 and 1? (a) 35 (b) 16 (c) 17 (d) 40
  31. 31.What is the mean of 8, 14, 11, 17 and 5? (a) 13 (b) 11 (c) 12 (d) 10
  32. 32.What is the mean of 14, 4, 3, 14 and 10? (a) 9 (b) 11 (c) 10 (d) 8
  33. 33.What is the mean of 2, 18, 12, 10 and 13? (a) 12 (b) 13 (c) 11 (d) 10
  34. 34.What is the median of 30, 2, 37, 3 and 27? (a) 30 (b) 27 (c) 37 (d) 3
  35. 35.What is the median of 5, 19, 33, 27 and 39? (a) 33 (b) 19 (c) 27 (d) 28
  36. 36.What is the median of 2, 37, 3, 15 and 10? (a) 11 (b) 3 (c) 10 (d) 15
  37. 37.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 16 (b) 26 (c) 20 (d) 21
  38. 38.What is the mean of 9, 5, 11 and 11? (a) 8 (b) 10 (c) 9 (d) 12
  39. 39.What is the mean of 12, 14, 19, 20, 5 and 14? (a) 13 (b) 12 (c) 14 (d) 15
  40. 40.What is the mean of 4, 2, 8 and 18? (a) 10 (b) 8 (c) 7 (d) 9

Answer key

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

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