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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 558 · 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 5, 11, 16 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  2. 2.What is the mode of 3, 3, 12, 12, 9, 12 and 14? (a) 12 (b) 3 (c) 14 (d) 9
  3. 3.What is the mean of 2, 20, 12, 2, 7 and 5? (a) 8 (b) 9 (c) 7 (d) 10
  4. 4.What is the mode of 16, 14, 16, 16, 15, 6 and 14? (a) 14 (b) 6 (c) 16 (d) 15
  5. 5.What is the mean of 7, 3, 20, 10 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  6. 6.What is the mode of 8, 8, 4, 15, 10, 10 and 8? (a) 4 (b) 8 (c) 10 (d) 15
  7. 7.What is the mode of 14, 9, 14, 13, 14, 10 and 10? (a) 13 (b) 14 (c) 10 (d) 9
  8. 8.What is the mode of 2, 6, 2, 7, 15, 6 and 2? (a) 15 (b) 2 (c) 6 (d) 7
  9. 9.What is the mean of 16, 14, 3 and 15? (a) 12 (b) 13 (c) 16 (d) 11
  10. 10.What is the mean of 18, 3, 7, 13, 13 and 18? (a) 14 (b) 13 (c) 12 (d) 11
  11. 11.What is the mean of 10, 4, 15, 18, 15 and 22? (a) 12 (b) 14 (c) 13 (d) 15
  12. 12.What is the mode of 20, 16, 15, 16, 8, 16 and 20? (a) 8 (b) 20 (c) 15 (d) 16
  13. 13.What is the mean of 17, 2, 20 and 9? (a) 13 (b) 11 (c) 16 (d) 12
  14. 14.What is the mean of 2, 18, 20, 8 and 7? (a) 11 (b) 12 (c) 10 (d) 13
  15. 15.What is the mode of 9, 8, 9, 12, 7, 12 and 9? (a) 7 (b) 8 (c) 9 (d) 12
  16. 16.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 9 (b) 15 (c) 16 (d) 14
  17. 17.What is the median of 38, 17, 1, 13, 24, 8 and 35? (a) 17 (b) 18 (c) 13 (d) 24
  18. 18.The mean of 4 numbers is 38. When the number 53 is added to them, what is the new mean? (a) 38 (b) 42 (c) 40 (d) 41
  19. 19.What is the mode of 17, 20, 16, 20, 20, 3 and 16? (a) 20 (b) 16 (c) 17 (d) 3
  20. 20.What is the median of 29, 18, 35, 5 and 11? (a) 18 (b) 11 (c) 29 (d) 35
  21. 21.What is the median of 26, 30, 35, 34 and 38? (a) 33 (b) 30 (c) 34 (d) 35
  22. 22.What is the mean of 8, 17, 19, 9, 3 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  23. 23.What is the mean of 13, 19, 9 and 19? (a) 16 (b) 12 (c) 15 (d) 20
  24. 24.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 23 (b) 22 (c) 25 (d) 24
  25. 25.What is the mode of 4, 11, 5, 4, 4, 11 and 17? (a) 11 (b) 5 (c) 4 (d) 17
  26. 26.What is the mean of 13, 4, 9 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  27. 27.What is the mean of 6, 19, 11 and 20? (a) 16 (b) 14 (c) 15 (d) 13
  28. 28.What is the median of 10, 13, 25, 7, 16, 21 and 35? (a) 21 (b) 7 (c) 13 (d) 16
  29. 29.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 16 (b) 13 (c) 14 (d) 10
  30. 30.What is the mode of 8, 3, 9, 10, 10, 8 and 8? (a) 9 (b) 3 (c) 8 (d) 10
  31. 31.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 21
  32. 32.What is the median of 4, 32, 12, 37, 29, 7 and 1? (a) 37 (b) 12 (c) 7 (d) 29
  33. 33.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 17
  34. 34.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 38 (b) 31 (c) 37 (d) 36
  35. 35.What is the mode of 15, 15, 20, 20, 4, 6 and 15? (a) 4 (b) 20 (c) 15 (d) 6
  36. 36.What is the median of 5, 6, 11, 2, 37, 3 and 15? (a) 5 (b) 11 (c) 6 (d) 2
  37. 37.What is the median of 7, 1, 39, 9 and 2? (a) 9 (b) 7 (c) 39 (d) 2
  38. 38.What is the median of 21, 17, 30, 2, 34, 32 and 15? (a) 17 (b) 30 (c) 2 (d) 21
  39. 39.What is the mode of 2, 12, 10, 15, 15, 15 and 10? (a) 12 (b) 15 (c) 10 (d) 2
  40. 40.What is the mode of 13, 19, 10, 8, 19, 13 and 19? (a) 10 (b) 8 (c) 19 (d) 13

Answer key

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

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