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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 220 · 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 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 29
  2. 2.What is the mean of 3, 18, 14, 12, 18 and 7? (a) 11 (b) 14 (c) 12 (d) 13
  3. 3.What is the mean of 12, 5, 6, 10 and 12? (a) 9 (b) 8 (c) 11 (d) 10
  4. 4.What is the mode of 2, 19, 19, 19, 13, 15 and 13? (a) 2 (b) 15 (c) 19 (d) 13
  5. 5.What is the mean of 6, 19, 3 and 4? (a) 8 (b) 9 (c) 10 (d) 7
  6. 6.What is the mode of 11, 2, 1, 11, 17, 17 and 11? (a) 17 (b) 2 (c) 1 (d) 11
  7. 7.What is the mode of 1, 7, 7, 20, 7, 1 and 8? (a) 1 (b) 8 (c) 7 (d) 20
  8. 8.What is the mode of 20, 11, 11, 17, 20, 20 and 3? (a) 3 (b) 17 (c) 20 (d) 11
  9. 9.What is the mean of 16, 7, 4 and 13? (a) 9 (b) 10 (c) 8 (d) 11
  10. 10.What is the mean of 6, 7, 3, 10 and 14? (a) 7 (b) 9 (c) 8 (d) 10
  11. 11.The mean of 9 numbers is 22. When the number 52 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 37
  12. 12.What is the median of 9, 22, 26, 35, 7, 2 and 6? (a) 9 (b) 35 (c) 7 (d) 22
  13. 13.What is the median of 38, 3, 19, 39 and 17? (a) 17 (b) 20 (c) 19 (d) 38
  14. 14.What is the mean of 5, 6, 13, 16 and 10? (a) 10 (b) 9 (c) 12 (d) 11
  15. 15.What is the median of 2, 28, 1, 25 and 15? (a) 15 (b) 1 (c) 25 (d) 2
  16. 16.What is the mode of 3, 3, 2, 13, 3, 13 and 11? (a) 13 (b) 2 (c) 3 (d) 11
  17. 17.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 13 (b) 15 (c) 16 (d) 14
  18. 18.What is the mode of 6, 2, 2, 6, 14, 6 and 3? (a) 3 (b) 2 (c) 6 (d) 14
  19. 19.What is the mode of 10, 10, 12, 9, 6, 10 and 6? (a) 12 (b) 6 (c) 9 (d) 10
  20. 20.What is the mean of 17, 5, 6, 10 and 12? (a) 11 (b) 10 (c) 9 (d) 12
  21. 21.What is the mean of 10, 10, 3 and 5? (a) 7 (b) 6 (c) 8 (d) 9
  22. 22.What is the median of 19, 23, 20, 6, 15, 28 and 32? (a) 23 (b) 6 (c) 20 (d) 19
  23. 23.What is the mean of 20, 7, 16 and 17? (a) 20 (b) 12 (c) 16 (d) 15
  24. 24.What is the mean of 7, 20, 2 and 11? (a) 9 (b) 8 (c) 10 (d) 11
  25. 25.What is the mean of 5, 14, 4 and 17? (a) 10 (b) 8 (c) 11 (d) 9
  26. 26.What is the mean of 8, 18, 20 and 6? (a) 15 (b) 12 (c) 14 (d) 13
  27. 27.What is the mean of 6, 9, 15, 20, 7 and 21? (a) 14 (b) 13 (c) 12 (d) 15
  28. 28.What is the mode of 15, 10, 15, 16, 9, 9 and 15? (a) 16 (b) 15 (c) 10 (d) 9
  29. 29.What is the median of 17, 10, 34, 16, 4, 2 and 32? (a) 10 (b) 15 (c) 17 (d) 16
  30. 30.What is the mean of 17, 9, 6 and 4? (a) 8 (b) 12 (c) 10 (d) 9
  31. 31.What is the mode of 14, 16, 16, 17, 3, 17 and 16? (a) 16 (b) 14 (c) 3 (d) 17
  32. 32.What is the mean of 5, 3, 14 and 6? (a) 9 (b) 7 (c) 6 (d) 8
  33. 33.What is the mode of 11, 14, 11, 19, 4, 4 and 11? (a) 4 (b) 19 (c) 14 (d) 11
  34. 34.What is the mean of 20, 5, 2 and 17? (a) 12 (b) 10 (c) 11 (d) 13
  35. 35.What is the mode of 9, 12, 7, 9, 12, 1 and 9? (a) 1 (b) 7 (c) 12 (d) 9
  36. 36.What is the mode of 9, 9, 16, 13, 5, 16 and 9? (a) 5 (b) 16 (c) 9 (d) 13
  37. 37.What is the mean of 19, 18, 14, 11, 9 and 19? (a) 18 (b) 16 (c) 15 (d) 14
  38. 38.What is the median of 29, 3, 25, 4 and 10? (a) 4 (b) 10 (c) 11 (d) 25
  39. 39.What is the mode of 7, 1, 7, 7, 5, 1 and 18? (a) 1 (b) 5 (c) 18 (d) 7
  40. 40.What is the mean of 2, 3, 3 and 4? (a) 4 (b) 5 (c) 3 (d) 2

Answer key

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

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