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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 227 · 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, 4, 13 and 6? (a) 9 (b) 8 (c) 6 (d) 7
  2. 2.What is the median of 9, 33, 29, 23, 5, 28 and 7? (a) 28 (b) 24 (c) 23 (d) 9
  3. 3.What is the median of 11, 8, 15, 27 and 30? (a) 11 (b) 16 (c) 27 (d) 15
  4. 4.What is the mean of 3, 18, 8 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  5. 5.What is the median of 21, 19, 36, 30 and 9? (a) 23 (b) 21 (c) 36 (d) 30
  6. 6.What is the mode of 19, 19, 6, 19, 15, 9 and 6? (a) 9 (b) 19 (c) 6 (d) 15
  7. 7.What is the mean of 2, 4, 9 and 5? (a) 6 (b) 4 (c) 5 (d) 7
  8. 8.What is the mode of 13, 19, 8, 13, 17, 8 and 8? (a) 8 (b) 13 (c) 17 (d) 19
  9. 9.What is the median of 24, 17, 22, 37, 39, 9 and 27? (a) 25 (b) 24 (c) 27 (d) 37
  10. 10.The mean of 8 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 23 (b) 31 (c) 30 (d) 32
  11. 11.The mean of 3 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  12. 12.What is the mean of 5, 9, 6 and 8? (a) 9 (b) 7 (c) 6 (d) 8
  13. 13.What is the mode of 4, 4, 15, 4, 15, 8 and 11? (a) 11 (b) 4 (c) 15 (d) 8
  14. 14.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 37
  15. 15.What is the mode of 1, 1, 18, 2, 20, 18 and 18? (a) 2 (b) 20 (c) 1 (d) 18
  16. 16.What is the mode of 5, 15, 15, 4, 5, 15 and 16? (a) 4 (b) 15 (c) 16 (d) 5
  17. 17.What is the mode of 5, 12, 17, 5, 12, 12 and 15? (a) 12 (b) 5 (c) 17 (d) 15
  18. 18.What is the mean of 5, 5, 18 and 12? (a) 8 (b) 9 (c) 10 (d) 11
  19. 19.What is the mean of 18, 5, 2 and 23? (a) 13 (b) 11 (c) 12 (d) 16
  20. 20.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 36
  21. 21.What is the median of 6, 31, 30, 5, 26, 21 and 16? (a) 21 (b) 5 (c) 16 (d) 26
  22. 22.What is the median of 26, 4, 34, 1 and 18? (a) 26 (b) 34 (c) 18 (d) 4
  23. 23.What is the median of 20, 8, 10, 30 and 33? (a) 20 (b) 10 (c) 30 (d) 21
  24. 24.What is the mode of 2, 11, 4, 5, 2, 11 and 11? (a) 11 (b) 5 (c) 4 (d) 2
  25. 25.What is the median of 9, 11, 5, 23 and 28? (a) 9 (b) 5 (c) 11 (d) 23
  26. 26.What is the mode of 5, 14, 10, 6, 14, 10 and 14? (a) 5 (b) 10 (c) 14 (d) 6
  27. 27.The mean of 5 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 34 (b) 28 (c) 29 (d) 25
  28. 28.The mean of 8 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 22
  29. 29.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 32 (b) 35 (c) 31 (d) 29
  30. 30.What is the mean of 7, 13, 12 and 4? (a) 8 (b) 12 (c) 9 (d) 10
  31. 31.What is the mean of 15, 11, 7, 17, 7 and 9? (a) 11 (b) 10 (c) 13 (d) 12
  32. 32.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 12
  33. 33.What is the mean of 19, 15, 14, 8, 14 and 8? (a) 12 (b) 13 (c) 14 (d) 15
  34. 34.What is the median of 3, 34, 31, 27, 28, 35 and 11? (a) 27 (b) 29 (c) 28 (d) 31
  35. 35.What is the mode of 8, 15, 15, 15, 5, 9 and 8? (a) 9 (b) 8 (c) 5 (d) 15
  36. 36.What is the median of 23, 6, 18, 14 and 9? (a) 18 (b) 15 (c) 14 (d) 9
  37. 37.What is the mode of 3, 12, 3, 3, 12, 19 and 10? (a) 3 (b) 10 (c) 19 (d) 12
  38. 38.What is the mean of 6, 6, 12, 8 and 23? (a) 13 (b) 11 (c) 12 (d) 10
  39. 39.What is the mean of 5, 6, 10, 2, 14 and 11? (a) 8 (b) 10 (c) 9 (d) 7
  40. 40.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 39

Answer key

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

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