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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 677 · 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 16, 14, 19, 10, 10 and 15? (a) 13 (b) 12 (c) 14 (d) 15
  2. 2.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 24 (b) 26 (c) 27 (d) 28
  3. 3.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 23 (b) 18 (c) 30 (d) 22
  4. 4.What is the median of 24, 31, 34, 36 and 30? (a) 32 (b) 30 (c) 34 (d) 31
  5. 5.What is the mean of 16, 2, 9, 11 and 12? (a) 11 (b) 12 (c) 10 (d) 9
  6. 6.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 28
  7. 7.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 23 (b) 24 (c) 22 (d) 21
  8. 8.What is the mode of 15, 12, 12, 6, 9, 6 and 6? (a) 15 (b) 9 (c) 6 (d) 12
  9. 9.What is the mean of 16, 8, 2 and 10? (a) 8 (b) 10 (c) 12 (d) 9
  10. 10.What is the median of 16, 13, 36, 3 and 32? (a) 20 (b) 16 (c) 32 (d) 36
  11. 11.What is the mode of 15, 4, 4, 4, 14, 14 and 3? (a) 3 (b) 14 (c) 15 (d) 4
  12. 12.What is the mode of 4, 20, 6, 20, 19, 19 and 19? (a) 6 (b) 4 (c) 19 (d) 20
  13. 13.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 28
  14. 14.What is the mean of 2, 5, 8 and 9? (a) 8 (b) 7 (c) 6 (d) 5
  15. 15.What is the mode of 5, 14, 13, 4, 5, 4 and 4? (a) 13 (b) 4 (c) 14 (d) 5
  16. 16.What is the median of 15, 8, 4, 31 and 33? (a) 4 (b) 15 (c) 31 (d) 8
  17. 17.What is the mean of 16, 4, 20 and 8? (a) 11 (b) 13 (c) 16 (d) 12
  18. 18.What is the mode of 4, 4, 2, 6, 4, 6 and 1? (a) 2 (b) 4 (c) 6 (d) 1
  19. 19.What is the mean of 20, 6, 20 and 10? (a) 15 (b) 14 (c) 13 (d) 16
  20. 20.What is the mean of 12, 7, 16, 4, 14 and 13? (a) 12 (b) 10 (c) 11 (d) 13
  21. 21.What is the mean of 4, 11, 12, 6, 19 and 8? (a) 12 (b) 11 (c) 10 (d) 9
  22. 22.What is the mean of 2, 4, 15, 16, 5 and 18? (a) 10 (b) 11 (c) 9 (d) 12
  23. 23.What is the mean of 10, 20, 12 and 6? (a) 11 (b) 13 (c) 12 (d) 16
  24. 24.What is the mode of 18, 18, 8, 14, 18, 14 and 7? (a) 7 (b) 8 (c) 14 (d) 18
  25. 25.What is the mode of 17, 8, 17, 16, 5, 5 and 5? (a) 16 (b) 8 (c) 5 (d) 17
  26. 26.What is the mode of 16, 11, 20, 11, 11, 6 and 20? (a) 20 (b) 16 (c) 6 (d) 11
  27. 27.What is the mean of 14, 15, 20, 4, 20 and 17? (a) 18 (b) 14 (c) 15 (d) 16
  28. 28.What is the mode of 13, 13, 16, 9, 4, 9 and 13? (a) 9 (b) 4 (c) 16 (d) 13
  29. 29.What is the mode of 15, 15, 3, 12, 3, 20 and 15? (a) 20 (b) 3 (c) 12 (d) 15
  30. 30.The mean of 7 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 21
  31. 31.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 27 (b) 26 (c) 23 (d) 25
  32. 32.What is the median of 32, 1, 37, 3, 18, 4 and 5? (a) 18 (b) 4 (c) 3 (d) 5
  33. 33.What is the mode of 20, 10, 10, 20, 1, 20 and 15? (a) 1 (b) 15 (c) 20 (d) 10
  34. 34.What is the mode of 1, 10, 1, 18, 15, 18 and 1? (a) 15 (b) 18 (c) 1 (d) 10
  35. 35.What is the median of 4, 5, 6, 24, 12, 20 and 3? (a) 24 (b) 12 (c) 5 (d) 6
  36. 36.What is the mean of 6, 15, 16 and 15? (a) 12 (b) 13 (c) 15 (d) 14
  37. 37.What is the median of 30, 17, 31, 39, 27, 37 and 11? (a) 39 (b) 27 (c) 30 (d) 31
  38. 38.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 36
  39. 39.What is the mode of 11, 14, 18, 20, 11, 11 and 14? (a) 14 (b) 18 (c) 20 (d) 11
  40. 40.What is the mean of 4, 8, 7 and 5? (a) 6 (b) 8 (c) 7 (d) 5

Answer key

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

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