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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 600 · 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 6, 13, 4 and 5? (a) 7 (b) 8 (c) 9 (d) 6
  2. 2.What is the median of 8, 12, 15, 7 and 36? (a) 12 (b) 15 (c) 8 (d) 13
  3. 3.What is the mode of 20, 5, 16, 5, 13, 5 and 13? (a) 16 (b) 20 (c) 13 (d) 5
  4. 4.What is the mean of 4, 12, 11 and 9? (a) 8 (b) 10 (c) 9 (d) 12
  5. 5.What is the mean of 12, 8, 2, 8 and 20? (a) 10 (b) 9 (c) 12 (d) 11
  6. 6.What is the mean of 4, 13, 16, 19 and 8? (a) 13 (b) 10 (c) 15 (d) 12
  7. 7.What is the mean of 2, 12, 15, 4 and 17? (a) 12 (b) 10 (c) 9 (d) 11
  8. 8.What is the mode of 3, 6, 6, 3, 6, 17 and 9? (a) 6 (b) 9 (c) 3 (d) 17
  9. 9.What is the median of 32, 27, 38, 15 and 33? (a) 38 (b) 32 (c) 29 (d) 33
  10. 10.What is the median of 14, 15, 11, 37 and 34? (a) 11 (b) 14 (c) 34 (d) 15
  11. 11.What is the mean of 10, 7, 18 and 13? (a) 12 (b) 13 (c) 16 (d) 11
  12. 12.What is the mode of 19, 13, 19, 13, 19, 10 and 18? (a) 18 (b) 13 (c) 10 (d) 19
  13. 13.What is the median of 12, 7, 37, 23, 3, 15 and 18? (a) 12 (b) 23 (c) 15 (d) 18
  14. 14.What is the median of 38, 8, 19, 21, 4, 39 and 3? (a) 20 (b) 8 (c) 19 (d) 21
  15. 15.What is the mode of 8, 2, 13, 11, 13, 13 and 2? (a) 13 (b) 11 (c) 8 (d) 2
  16. 16.What is the mean of 4, 4, 8 and 20? (a) 12 (b) 8 (c) 9 (d) 10
  17. 17.What is the mean of 9, 16, 14 and 5? (a) 10 (b) 12 (c) 11 (d) 13
  18. 18.What is the mode of 3, 3, 9, 20, 3, 20 and 10? (a) 3 (b) 9 (c) 20 (d) 10
  19. 19.What is the mode of 5, 15, 4, 5, 8, 15 and 5? (a) 5 (b) 8 (c) 15 (d) 4
  20. 20.What is the mode of 6, 17, 6, 6, 16, 17 and 15? (a) 17 (b) 16 (c) 6 (d) 15
  21. 21.What is the mean of 5, 13, 5, 15 and 12? (a) 12 (b) 10 (c) 9 (d) 11
  22. 22.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 26 (b) 22 (c) 24 (d) 23
  23. 23.What is the median of 12, 31, 16, 40 and 23? (a) 23 (b) 16 (c) 24 (d) 31
  24. 24.What is the mode of 16, 15, 1, 8, 1, 1 and 15? (a) 8 (b) 16 (c) 1 (d) 15
  25. 25.What is the mean of 11, 3, 16, 4, 2 and 18? (a) 8 (b) 11 (c) 10 (d) 9
  26. 26.What is the mean of 16, 4, 15, 5 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  27. 27.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 14 (b) 12 (c) 15 (d) 21
  28. 28.The mean of 6 numbers is 30. When the number 58 is added to them, what is the new mean? (a) 30 (b) 44 (c) 35 (d) 34
  29. 29.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 11 (c) 12 (d) 13
  30. 30.What is the median of 32, 40, 2, 22 and 38? (a) 32 (b) 22 (c) 2 (d) 38
  31. 31.What is the median of 8, 28, 30, 10 and 7? (a) 8 (b) 10 (c) 28 (d) 30
  32. 32.What is the mode of 3, 20, 12, 20, 20, 16 and 3? (a) 16 (b) 3 (c) 12 (d) 20
  33. 33.The mean of 4 numbers is 26. When the number 31 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 29
  34. 34.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 10
  35. 35.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 36 (b) 39 (c) 40 (d) 38
  36. 36.What is the mean of 5, 11, 14, 13, 9 and 8? (a) 10 (b) 9 (c) 12 (d) 11
  37. 37.What is the mode of 9, 5, 11, 11, 6, 9 and 9? (a) 9 (b) 5 (c) 6 (d) 11
  38. 38.What is the mean of 13, 11, 13 and 19? (a) 16 (b) 14 (c) 13 (d) 15
  39. 39.What is the mean of 4, 19, 6 and 7? (a) 9 (b) 10 (c) 12 (d) 8
  40. 40.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 12 (b) 11 (c) 8 (d) 13

Answer key

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

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