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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 748 · 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 mode of 9, 9, 2, 1, 9, 2 and 4? (a) 9 (b) 2 (c) 1 (d) 4
  2. 2.What is the median of 18, 13, 6, 1 and 12? (a) 10 (b) 12 (c) 13 (d) 6
  3. 3.What is the mean of 13, 12, 6, 7, 3 and 19? (a) 12 (b) 11 (c) 10 (d) 9
  4. 4.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 19
  5. 5.What is the mean of 6, 13, 7, 5, 14 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  6. 6.What is the mode of 18, 15, 18, 18, 13, 16 and 15? (a) 13 (b) 16 (c) 18 (d) 15
  7. 7.What is the mode of 17, 4, 8, 6, 17, 8 and 8? (a) 4 (b) 8 (c) 17 (d) 6
  8. 8.What is the mean of 4, 12, 15, 10 and 9? (a) 12 (b) 11 (c) 9 (d) 10
  9. 9.What is the median of 5, 13, 15, 4, 12, 35 and 17? (a) 13 (b) 12 (c) 15 (d) 4
  10. 10.What is the mean of 10, 5, 19 and 14? (a) 11 (b) 12 (c) 13 (d) 16
  11. 11.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 29 (b) 30 (c) 26 (d) 32
  12. 12.What is the mean of 6, 10, 3, 15, 12 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  13. 13.What is the mode of 2, 6, 11, 20, 2, 2 and 6? (a) 6 (b) 20 (c) 2 (d) 11
  14. 14.What is the mode of 7, 8, 7, 12, 18, 7 and 12? (a) 18 (b) 12 (c) 8 (d) 7
  15. 15.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 11 (b) 16 (c) 15 (d) 19
  16. 16.What is the mean of 3, 20, 6 and 11? (a) 8 (b) 9 (c) 10 (d) 11
  17. 17.What is the median of 20, 10, 1, 18 and 27? (a) 10 (b) 1 (c) 20 (d) 18
  18. 18.The mean of 7 numbers is 16. When the number 48 is added to them, what is the new mean? (a) 20 (b) 16 (c) 32 (d) 21
  19. 19.What is the median of 2, 36, 16, 8, 7, 31 and 21? (a) 8 (b) 17 (c) 21 (d) 16
  20. 20.The mean of 4 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 38 (b) 41 (c) 40 (d) 43
  21. 21.What is the median of 9, 38, 31, 15, 25, 34 and 40? (a) 25 (b) 15 (c) 31 (d) 34
  22. 22.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 37 (b) 36 (c) 34 (d) 35
  23. 23.What is the mode of 14, 15, 12, 12, 10, 15 and 15? (a) 15 (b) 10 (c) 14 (d) 12
  24. 24.The mean of 3 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 12
  25. 25.What is the mean of 5, 20, 3, 17 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  26. 26.What is the median of 38, 6, 9, 12, 7, 25 and 10? (a) 11 (b) 10 (c) 12 (d) 9
  27. 27.What is the mean of 17, 12, 20, 20 and 16? (a) 16 (b) 19 (c) 18 (d) 17
  28. 28.The mean of 3 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 11 (b) 17 (c) 15 (d) 14
  29. 29.What is the median of 33, 7, 19, 24, 25, 20 and 2? (a) 20 (b) 19 (c) 21 (d) 24
  30. 30.What is the median of 39, 12, 16, 22 and 27? (a) 16 (b) 23 (c) 27 (d) 22
  31. 31.What is the mean of 10, 11, 13 and 2? (a) 12 (b) 8 (c) 9 (d) 10
  32. 32.What is the mean of 13, 2, 19, 17, 8 and 25? (a) 13 (b) 15 (c) 12 (d) 14
  33. 33.The mean of 6 numbers is 24. When the number 38 is added to them, what is the new mean? (a) 26 (b) 31 (c) 24 (d) 27
  34. 34.What is the median of 7, 26, 9, 14, 16, 31 and 22? (a) 22 (b) 14 (c) 16 (d) 17
  35. 35.What is the mode of 7, 10, 16, 7, 7, 16 and 11? (a) 11 (b) 16 (c) 7 (d) 10
  36. 36.What is the mean of 9, 6, 15, 7, 14 and 9? (a) 11 (b) 9 (c) 10 (d) 12
  37. 37.What is the mean of 11, 13, 20 and 8? (a) 13 (b) 12 (c) 14 (d) 15
  38. 38.What is the mean of 19, 17, 4 and 4? (a) 11 (b) 12 (c) 10 (d) 13
  39. 39.What is the mean of 4, 11, 5, 4, 3 and 9? (a) 8 (b) 5 (c) 6 (d) 7
  40. 40.What is the mean of 6, 20, 7, 3 and 9? (a) 8 (b) 10 (c) 11 (d) 9

Answer key

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

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