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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 863 · 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 2, 20, 16, 11 and 11? (a) 10 (b) 12 (c) 13 (d) 15
  2. 2.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 12 (c) 11 (d) 10
  3. 3.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 26
  4. 4.What is the median of 33, 20, 19, 37 and 35? (a) 19 (b) 33 (c) 20 (d) 35
  5. 5.What is the mode of 17, 3, 3, 12, 19, 12 and 3? (a) 12 (b) 3 (c) 17 (d) 19
  6. 6.What is the mode of 9, 12, 12, 12, 9, 6 and 4? (a) 4 (b) 6 (c) 9 (d) 12
  7. 7.What is the mean of 17, 5, 16, 18, 5 and 11? (a) 14 (b) 12 (c) 13 (d) 11
  8. 8.What is the mode of 9, 5, 19, 19, 5, 5 and 15? (a) 15 (b) 9 (c) 19 (d) 5
  9. 9.What is the mode of 19, 19, 15, 12, 15, 8 and 19? (a) 19 (b) 15 (c) 12 (d) 8
  10. 10.What is the mode of 20, 11, 1, 11, 2, 1 and 1? (a) 11 (b) 1 (c) 20 (d) 2
  11. 11.What is the mean of 9, 16, 8, 10 and 17? (a) 13 (b) 10 (c) 12 (d) 15
  12. 12.What is the mean of 17, 7, 13 and 19? (a) 16 (b) 14 (c) 15 (d) 13
  13. 13.The mean of 7 numbers is 37. When the number 69 is added to them, what is the new mean? (a) 53 (b) 37 (c) 42 (d) 41
  14. 14.What is the mean of 13, 8, 11, 18, 10 and 12? (a) 13 (b) 14 (c) 12 (d) 11
  15. 15.What is the mean of 10, 7, 12, 8 and 18? (a) 12 (b) 10 (c) 11 (d) 13
  16. 16.What is the mean of 6, 7, 13, 3, 9 and 10? (a) 8 (b) 10 (c) 7 (d) 9
  17. 17.What is the mean of 15, 3, 18, 6, 13 and 5? (a) 9 (b) 12 (c) 11 (d) 10
  18. 18.What is the mean of 13, 6, 13, 18 and 5? (a) 11 (b) 13 (c) 10 (d) 12
  19. 19.What is the mean of 14, 12, 4 and 10? (a) 8 (b) 11 (c) 10 (d) 9
  20. 20.What is the mode of 20, 7, 20, 5, 5, 4 and 5? (a) 20 (b) 7 (c) 5 (d) 4
  21. 21.What is the median of 27, 35, 9, 8, 25, 29 and 11? (a) 11 (b) 25 (c) 8 (d) 27
  22. 22.What is the mode of 10, 2, 5, 16, 2, 2 and 16? (a) 2 (b) 10 (c) 16 (d) 5
  23. 23.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 29
  24. 24.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 14
  25. 25.What is the mean of 10, 19, 4 and 23? (a) 15 (b) 13 (c) 14 (d) 16
  26. 26.What is the mean of 8, 7, 2, 6 and 7? (a) 7 (b) 8 (c) 5 (d) 6
  27. 27.What is the mean of 17, 14, 19, 20 and 10? (a) 20 (b) 15 (c) 16 (d) 17
  28. 28.What is the median of 14, 30, 22, 28 and 4? (a) 28 (b) 14 (c) 23 (d) 22
  29. 29.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 13 (b) 19 (c) 21 (d) 20
  30. 30.What is the median of 38, 2, 26, 8, 19, 14 and 33? (a) 19 (b) 20 (c) 26 (d) 8
  31. 31.What is the mode of 5, 20, 5, 4, 10, 4 and 5? (a) 20 (b) 4 (c) 10 (d) 5
  32. 32.What is the mean of 17, 12, 4, 14, 13 and 6? (a) 10 (b) 11 (c) 13 (d) 12
  33. 33.What is the median of 13, 12, 2, 28, 6, 19 and 22? (a) 28 (b) 19 (c) 12 (d) 13
  34. 34.What is the mode of 14, 8, 14, 14, 8, 1 and 10? (a) 8 (b) 14 (c) 1 (d) 10
  35. 35.What is the median of 17, 2, 30, 19 and 15? (a) 15 (b) 30 (c) 19 (d) 17
  36. 36.The mean of 9 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 46
  37. 37.What is the median of 1, 12, 33, 5 and 32? (a) 12 (b) 32 (c) 33 (d) 5
  38. 38.What is the median of 28, 29, 13, 31 and 20? (a) 13 (b) 28 (c) 29 (d) 20
  39. 39.What is the mode of 1, 16, 20, 1, 1, 8 and 16? (a) 20 (b) 16 (c) 8 (d) 1
  40. 40.What is the mean of 2, 13, 2 and 7? (a) 5 (b) 6 (c) 7 (d) 8

Answer key

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

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