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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 179 · 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 median of 32, 3, 7, 11, 14, 21 and 8? (a) 14 (b) 11 (c) 8 (d) 12
  2. 2.What is the median of 10, 17, 32, 23 and 1? (a) 23 (b) 17 (c) 10 (d) 32
  3. 3.What is the mean of 4, 12, 13 and 19? (a) 16 (b) 12 (c) 11 (d) 13
  4. 4.What is the mean of 8, 13, 19, 13 and 7? (a) 12 (b) 13 (c) 10 (d) 15
  5. 5.What is the mean of 17, 20, 15, 13, 16 and 15? (a) 17 (b) 18 (c) 15 (d) 16
  6. 6.What is the mean of 4, 6, 4 and 10? (a) 5 (b) 6 (c) 7 (d) 8
  7. 7.What is the median of 24, 9, 31, 6 and 10? (a) 31 (b) 16 (c) 10 (d) 24
  8. 8.What is the mean of 17, 4, 19, 20, 8 and 10? (a) 13 (b) 15 (c) 12 (d) 14
  9. 9.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 26 (c) 33 (d) 32
  10. 10.What is the mode of 9, 15, 15, 11, 18, 18 and 15? (a) 9 (b) 18 (c) 11 (d) 15
  11. 11.What is the mean of 9, 7, 16 and 20? (a) 15 (b) 12 (c) 13 (d) 14
  12. 12.What is the mode of 1, 2, 5, 19, 5, 19 and 5? (a) 2 (b) 1 (c) 5 (d) 19
  13. 13.What is the mean of 10, 10, 6, 4, 19 and 23? (a) 14 (b) 13 (c) 11 (d) 12
  14. 14.What is the mean of 16, 3, 3, 4, 7 and 21? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.What is the mean of 14, 18, 8, 11, 19 and 8? (a) 14 (b) 12 (c) 15 (d) 13
  16. 16.What is the mean of 2, 18, 2, 20 and 8? (a) 9 (b) 11 (c) 10 (d) 12
  17. 17.What is the mode of 7, 4, 18, 7, 18, 2 and 18? (a) 7 (b) 4 (c) 2 (d) 18
  18. 18.What is the median of 17, 29, 21, 39, 23, 32 and 40? (a) 32 (b) 29 (c) 39 (d) 23
  19. 19.What is the median of 35, 21, 40, 18 and 36? (a) 40 (b) 30 (c) 36 (d) 35
  20. 20.What is the median of 15, 3, 34, 28, 40, 19 and 9? (a) 20 (b) 15 (c) 28 (d) 19
  21. 21.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 12
  22. 22.What is the mean of 20, 5, 20, 5, 6 and 10? (a) 12 (b) 13 (c) 11 (d) 10
  23. 23.What is the median of 38, 15, 10, 19 and 27? (a) 27 (b) 19 (c) 15 (d) 10
  24. 24.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 17 (b) 37 (c) 22 (d) 21
  25. 25.What is the median of 29, 21, 7, 12, 34, 15 and 36? (a) 22 (b) 29 (c) 21 (d) 12
  26. 26.What is the mean of 12, 2, 6 and 8? (a) 8 (b) 6 (c) 7 (d) 9
  27. 27.The mean of 9 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 22 (c) 30 (d) 31
  28. 28.What is the mean of 12, 14, 6 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  29. 29.What is the mean of 16, 18, 19, 16 and 11? (a) 17 (b) 20 (c) 15 (d) 16
  30. 30.What is the mean of 12, 13, 9, 4 and 12? (a) 9 (b) 11 (c) 12 (d) 10
  31. 31.What is the mean of 8, 8, 19 and 21? (a) 13 (b) 14 (c) 16 (d) 15
  32. 32.What is the mean of 18, 16, 12, 4, 9 and 7? (a) 11 (b) 12 (c) 13 (d) 10
  33. 33.What is the mean of 4, 4, 12 and 4? (a) 8 (b) 7 (c) 5 (d) 6
  34. 34.The mean of 5 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 20 (b) 16 (c) 25 (d) 19
  35. 35.What is the mode of 1, 6, 14, 1, 19, 14 and 14? (a) 14 (b) 19 (c) 6 (d) 1
  36. 36.What is the mean of 19, 18, 18 and 9? (a) 15 (b) 18 (c) 16 (d) 17
  37. 37.What is the median of 32, 40, 6, 39, 33, 24 and 2? (a) 33 (b) 24 (c) 39 (d) 32
  38. 38.What is the median of 34, 19, 27, 40 and 17? (a) 28 (b) 19 (c) 27 (d) 34
  39. 39.What is the mean of 15, 4, 16 and 13? (a) 13 (b) 16 (c) 12 (d) 11
  40. 40.What is the median of 22, 37, 19, 40, 39, 10 and 3? (a) 22 (b) 19 (c) 37 (d) 40

Answer key

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

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