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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 232 · 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.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  2. 2.What is the mean of 15, 2, 16, 5 and 22? (a) 13 (b) 15 (c) 12 (d) 10
  3. 3.What is the mean of 9, 12, 13, 4 and 12? (a) 10 (b) 12 (c) 11 (d) 9
  4. 4.What is the mode of 9, 19, 16, 16, 16, 9 and 13? (a) 19 (b) 13 (c) 9 (d) 16
  5. 5.What is the median of 2, 4, 10, 12 and 37? (a) 12 (b) 4 (c) 13 (d) 10
  6. 6.What is the median of 39, 27, 13, 35, 12, 5 and 18? (a) 18 (b) 35 (c) 27 (d) 13
  7. 7.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 16
  8. 8.What is the mode of 3, 3, 18, 8, 3, 14 and 18? (a) 14 (b) 18 (c) 8 (d) 3
  9. 9.What is the mean of 7, 19, 3, 13, 17 and 7? (a) 11 (b) 12 (c) 13 (d) 10
  10. 10.The mean of 5 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 20
  11. 11.What is the mean of 4, 13, 13 and 18? (a) 12 (b) 13 (c) 16 (d) 11
  12. 12.What is the mode of 18, 18, 4, 5, 5, 12 and 18? (a) 12 (b) 4 (c) 18 (d) 5
  13. 13.What is the median of 40, 22, 36, 5 and 27? (a) 26 (b) 36 (c) 27 (d) 22
  14. 14.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 41 (b) 33 (c) 34 (d) 29
  15. 15.The mean of 8 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 22 (b) 13 (c) 16 (d) 15
  16. 16.What is the mode of 4, 18, 4, 14, 18, 4 and 11? (a) 18 (b) 4 (c) 11 (d) 14
  17. 17.What is the mean of 11, 3, 15 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  18. 18.What is the mean of 4, 9, 16 and 15? (a) 12 (b) 13 (c) 11 (d) 10
  19. 19.The mean of 9 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 20 (b) 11 (c) 21 (d) 19
  20. 20.What is the mean of 12, 3, 11, 9, 7 and 18? (a) 10 (b) 11 (c) 9 (d) 12
  21. 21.What is the median of 16, 7, 39, 8 and 10? (a) 16 (b) 10 (c) 8 (d) 39
  22. 22.What is the mode of 6, 2, 15, 12, 15, 12 and 12? (a) 15 (b) 2 (c) 6 (d) 12
  23. 23.What is the mode of 6, 12, 1, 20, 6, 6 and 20? (a) 20 (b) 12 (c) 1 (d) 6
  24. 24.What is the mean of 8, 18, 5, 12, 18 and 11? (a) 14 (b) 11 (c) 13 (d) 12
  25. 25.What is the mode of 7, 11, 4, 7, 18, 11 and 7? (a) 4 (b) 7 (c) 18 (d) 11
  26. 26.What is the mean of 4, 9, 7, 3 and 7? (a) 5 (b) 6 (c) 7 (d) 8
  27. 27.What is the mean of 19, 8, 3 and 14? (a) 13 (b) 11 (c) 12 (d) 10
  28. 28.What is the mean of 16, 19, 12 and 9? (a) 13 (b) 16 (c) 14 (d) 15
  29. 29.What is the median of 17, 10, 6, 1, 29, 19 and 9? (a) 13 (b) 17 (c) 1 (d) 10
  30. 30.What is the mean of 12, 7, 9 and 12? (a) 11 (b) 10 (c) 8 (d) 9
  31. 31.What is the mode of 3, 3, 3, 7, 17, 9 and 9? (a) 9 (b) 3 (c) 7 (d) 17
  32. 32.What is the mean of 19, 15, 5, 7 and 14? (a) 15 (b) 10 (c) 13 (d) 12
  33. 33.What is the mean of 2, 12, 9, 20 and 12? (a) 12 (b) 13 (c) 10 (d) 11
  34. 34.What is the mean of 7, 19, 16, 17, 18 and 13? (a) 15 (b) 16 (c) 18 (d) 14
  35. 35.What is the mean of 2, 13, 2 and 19? (a) 10 (b) 8 (c) 9 (d) 12
  36. 36.What is the median of 29, 35, 17, 8, 36, 3 and 6? (a) 17 (b) 8 (c) 29 (d) 18
  37. 37.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 23 (b) 20 (c) 13 (d) 19
  38. 38.What is the median of 37, 2, 11, 3, 25, 30 and 8? (a) 11 (b) 25 (c) 3 (d) 8
  39. 39.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 10 (b) 7 (c) 8 (d) 9
  40. 40.What is the median of 28, 30, 31, 19, 1, 27 and 38? (a) 28 (b) 30 (c) 27 (d) 19

Answer key

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

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