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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 481 · 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 7, 7, 7, 16, 16, 19 and 8? (a) 8 (b) 19 (c) 7 (d) 16
  2. 2.What is the mode of 18, 12, 10, 19, 19, 19 and 18? (a) 10 (b) 19 (c) 12 (d) 18
  3. 3.What is the mean of 14, 8, 12 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  4. 4.What is the median of 19, 33, 8, 25, 27, 11 and 4? (a) 20 (b) 19 (c) 11 (d) 25
  5. 5.What is the mean of 10, 2, 3, 14 and 11? (a) 10 (b) 8 (c) 9 (d) 7
  6. 6.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 23 (b) 24 (c) 39 (d) 19
  7. 7.What is the mean of 9, 10, 3 and 10? (a) 7 (b) 8 (c) 10 (d) 9
  8. 8.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 16 (b) 20 (c) 14 (d) 17
  9. 9.What is the median of 23, 16, 18, 21 and 3? (a) 16 (b) 21 (c) 19 (d) 18
  10. 10.What is the median of 27, 3, 14, 20 and 36? (a) 27 (b) 20 (c) 14 (d) 21
  11. 11.What is the median of 27, 17, 7, 1, 40, 3 and 26? (a) 1 (b) 7 (c) 26 (d) 17
  12. 12.What is the mean of 3, 20, 9, 16 and 12? (a) 15 (b) 10 (c) 12 (d) 13
  13. 13.What is the mean of 8, 6, 10, 6 and 5? (a) 7 (b) 8 (c) 6 (d) 9
  14. 14.What is the median of 4, 1, 7, 37, 12, 17 and 20? (a) 37 (b) 14 (c) 17 (d) 12
  15. 15.What is the mean of 12, 2, 13, 8, 19 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  16. 16.What is the mode of 9, 14, 15, 15, 15, 14 and 2? (a) 2 (b) 15 (c) 9 (d) 14
  17. 17.What is the median of 8, 32, 13, 27, 31, 18 and 11? (a) 18 (b) 27 (c) 13 (d) 20
  18. 18.What is the median of 6, 21, 22, 29 and 3? (a) 20 (b) 22 (c) 21 (d) 6
  19. 19.What is the mean of 18, 7, 10, 19, 12 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  20. 20.What is the mode of 8, 18, 14, 18, 2, 18 and 2? (a) 2 (b) 8 (c) 18 (d) 14
  21. 21.What is the mode of 12, 7, 6, 6, 1, 1 and 1? (a) 12 (b) 6 (c) 1 (d) 7
  22. 22.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 39
  23. 23.What is the mode of 14, 18, 18, 3, 11, 14 and 14? (a) 11 (b) 18 (c) 14 (d) 3
  24. 24.What is the mean of 3, 20, 4 and 5? (a) 8 (b) 9 (c) 7 (d) 10
  25. 25.The mean of 8 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 24 (b) 22 (c) 15 (d) 23
  26. 26.What is the median of 2, 27, 16, 3, 30, 7 and 21? (a) 3 (b) 21 (c) 7 (d) 16
  27. 27.What is the mean of 14, 19, 7, 10, 12 and 10? (a) 13 (b) 12 (c) 11 (d) 14
  28. 28.What is the median of 1, 39, 3, 14, 21, 29 and 24? (a) 14 (b) 24 (c) 22 (d) 21
  29. 29.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 34
  30. 30.What is the median of 31, 27, 24, 1, 20, 5 and 4? (a) 1 (b) 24 (c) 20 (d) 16
  31. 31.What is the mode of 6, 13, 10, 10, 14, 6 and 10? (a) 10 (b) 13 (c) 6 (d) 14
  32. 32.What is the mean of 9, 12, 20 and 19? (a) 20 (b) 16 (c) 12 (d) 15
  33. 33.What is the median of 9, 17, 38, 16 and 1? (a) 38 (b) 17 (c) 9 (d) 16
  34. 34.What is the mode of 8, 1, 1, 1, 17, 8 and 7? (a) 17 (b) 7 (c) 8 (d) 1
  35. 35.The mean of 9 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 37 (b) 27 (c) 30 (d) 29
  36. 36.What is the mode of 6, 10, 17, 6, 10, 6 and 9? (a) 17 (b) 6 (c) 9 (d) 10
  37. 37.What is the median of 6, 22, 21, 9 and 19? (a) 21 (b) 20 (c) 19 (d) 9
  38. 38.What is the mean of 12, 4, 5, 16, 11 and 24? (a) 14 (b) 11 (c) 12 (d) 13
  39. 39.What is the mode of 16, 8, 4, 4, 8, 2 and 4? (a) 4 (b) 2 (c) 16 (d) 8
  40. 40.What is the mode of 14, 7, 14, 6, 7, 2 and 14? (a) 6 (b) 7 (c) 2 (d) 14

Answer key

  1. 7
  2. 19
  3. 10
  4. 19
  5. 8
  6. 23
  7. 8
  8. 16
  9. 18
  10. 20
  11. 17
  12. 12
  13. 7
  14. 12
  15. 10
  16. 15
  17. 18
  18. 21
  19. 14
  20. 18
  21. 1
  22. 41
  23. 14
  24. 8
  25. 22
  26. 16
  27. 12
  28. 21
  29. 30
  30. 20
  31. 10
  32. 15
  33. 16
  34. 1
  35. 29
  36. 6
  37. 19
  38. 12
  39. 4
  40. 14

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