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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 484 · 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 14, 9, 27, 11 and 28? (a) 15 (b) 14 (c) 27 (d) 11
  2. 2.The mean of 9 numbers is 38. When the number 8 is added to them, what is the new mean? (a) 38 (b) 36 (c) 23 (d) 35
  3. 3.What is the mode of 5, 5, 9, 9, 5, 18 and 12? (a) 5 (b) 12 (c) 9 (d) 18
  4. 4.What is the mode of 19, 14, 14, 1, 1, 1 and 4? (a) 14 (b) 4 (c) 1 (d) 19
  5. 5.The mean of 9 numbers is 34. When the number 4 is added to them, what is the new mean? (a) 19 (b) 31 (c) 34 (d) 32
  6. 6.What is the median of 30, 39, 28, 17, 38, 2 and 5? (a) 30 (b) 17 (c) 28 (d) 29
  7. 7.What is the median of 23, 35, 7, 11, 39, 28 and 36? (a) 35 (b) 23 (c) 28 (d) 11
  8. 8.What is the mode of 2, 16, 16, 5, 6, 2 and 16? (a) 5 (b) 2 (c) 16 (d) 6
  9. 9.What is the median of 7, 21, 4, 16 and 19? (a) 7 (b) 19 (c) 16 (d) 4
  10. 10.What is the mean of 13, 8, 11 and 16? (a) 12 (b) 13 (c) 11 (d) 16
  11. 11.What is the median of 2, 1, 23, 35 and 4? (a) 13 (b) 2 (c) 4 (d) 23
  12. 12.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 15 (b) 29 (c) 20 (d) 19
  13. 13.What is the mean of 17, 13, 7, 2 and 11? (a) 9 (b) 10 (c) 11 (d) 12
  14. 14.What is the mean of 5, 3, 6, 9, 13 and 18? (a) 10 (b) 11 (c) 9 (d) 8
  15. 15.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 12 (b) 17 (c) 20 (d) 16
  16. 16.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 16 (b) 24 (c) 19 (d) 18
  17. 17.What is the mode of 16, 20, 3, 6, 20, 6 and 20? (a) 16 (b) 6 (c) 20 (d) 3
  18. 18.What is the mean of 6, 17, 4 and 21? (a) 16 (b) 13 (c) 11 (d) 12
  19. 19.What is the mode of 19, 16, 16, 10, 10, 20 and 10? (a) 16 (b) 19 (c) 20 (d) 10
  20. 20.What is the mean of 15, 12, 20, 2, 2 and 15? (a) 10 (b) 11 (c) 12 (d) 13
  21. 21.What is the mean of 9, 3, 16 and 20? (a) 12 (b) 11 (c) 16 (d) 13
  22. 22.What is the mean of 14, 9, 17 and 16? (a) 16 (b) 14 (c) 13 (d) 15
  23. 23.What is the mean of 18, 2, 11, 8 and 11? (a) 11 (b) 12 (c) 10 (d) 9
  24. 24.What is the mode of 7, 11, 6, 12, 7, 11 and 11? (a) 7 (b) 11 (c) 12 (d) 6
  25. 25.What is the mean of 14, 5, 14, 13 and 9? (a) 12 (b) 10 (c) 11 (d) 13
  26. 26.What is the median of 37, 35, 33, 16, 11, 21 and 32? (a) 32 (b) 21 (c) 16 (d) 33
  27. 27.What is the mean of 11, 19, 15, 13 and 12? (a) 16 (b) 15 (c) 13 (d) 14
  28. 28.What is the median of 9, 25, 18, 19 and 35? (a) 25 (b) 19 (c) 18 (d) 20
  29. 29.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 36 (b) 32 (c) 41 (d) 35
  30. 30.What is the mode of 2, 6, 6, 2, 20, 16 and 2? (a) 6 (b) 16 (c) 2 (d) 20
  31. 31.What is the mode of 20, 1, 20, 1, 20, 17 and 5? (a) 5 (b) 20 (c) 1 (d) 17
  32. 32.What is the mode of 10, 11, 10, 8, 10, 11 and 2? (a) 8 (b) 2 (c) 10 (d) 11
  33. 33.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 20
  34. 34.What is the mode of 9, 18, 9, 8, 18, 18 and 17? (a) 9 (b) 18 (c) 17 (d) 8
  35. 35.What is the mean of 4, 8, 11 and 9? (a) 9 (b) 10 (c) 7 (d) 8
  36. 36.The mean of 6 numbers is 12. When the number 40 is added to them, what is the new mean? (a) 26 (b) 12 (c) 17 (d) 16
  37. 37.What is the mean of 7, 3, 2, 9 and 19? (a) 7 (b) 10 (c) 9 (d) 8
  38. 38.What is the mode of 7, 8, 17, 17, 7, 17 and 19? (a) 7 (b) 19 (c) 8 (d) 17
  39. 39.What is the mode of 2, 2, 1, 2, 3, 1 and 5? (a) 1 (b) 3 (c) 2 (d) 5
  40. 40.What is the median of 38, 4, 16, 15, 36, 31 and 37? (a) 36 (b) 15 (c) 16 (d) 31

Answer key

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

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