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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 15 · 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 19, 3, 16, 25 and 8? (a) 19 (b) 8 (c) 16 (d) 17
  2. 2.What is the mean of 19, 20, 8, 2 and 21? (a) 15 (b) 13 (c) 16 (d) 14
  3. 3.The mean of 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 23 (b) 32 (c) 20 (d) 24
  4. 4.What is the median of 8, 10, 12, 40 and 22? (a) 22 (b) 13 (c) 10 (d) 12
  5. 5.What is the median of 20, 15, 4, 14 and 22? (a) 15 (b) 14 (c) 4 (d) 20
  6. 6.What is the median of 33, 2, 1, 12 and 8? (a) 2 (b) 8 (c) 1 (d) 12
  7. 7.The mean of 3 numbers is 23. When the number 11 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 23
  8. 8.What is the median of 39, 22, 15, 32, 21, 6 and 10? (a) 21 (b) 22 (c) 15 (d) 32
  9. 9.What is the median of 24, 17, 19, 11, 8, 9 and 21? (a) 18 (b) 19 (c) 11 (d) 17
  10. 10.What is the mean of 7, 15, 20, 15 and 8? (a) 15 (b) 12 (c) 14 (d) 13
  11. 11.What is the median of 11, 18, 26, 1 and 28? (a) 19 (b) 26 (c) 18 (d) 11
  12. 12.What is the mean of 14, 9, 9, 7 and 6? (a) 10 (b) 11 (c) 9 (d) 8
  13. 13.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 11
  14. 14.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 30 (b) 23 (c) 26 (d) 25
  15. 15.What is the mean of 11, 14, 12 and 15? (a) 15 (b) 13 (c) 14 (d) 12
  16. 16.The mean of 9 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 30 (b) 22 (c) 31 (d) 32
  17. 17.What is the median of 21, 20, 32, 12 and 4? (a) 12 (b) 32 (c) 20 (d) 21
  18. 18.What is the median of 30, 28, 11, 3 and 20? (a) 11 (b) 20 (c) 21 (d) 28
  19. 19.What is the median of 28, 21, 17, 30 and 18? (a) 17 (b) 28 (c) 18 (d) 21
  20. 20.What is the mean of 2, 10, 18, 12 and 8? (a) 11 (b) 10 (c) 9 (d) 12
  21. 21.What is the mean of 18, 7, 12, 12, 15 and 8? (a) 14 (b) 12 (c) 13 (d) 11
  22. 22.What is the mean of 3, 7, 10 and 16? (a) 12 (b) 8 (c) 10 (d) 9
  23. 23.What is the mode of 7, 3, 3, 1, 1, 3 and 19? (a) 7 (b) 1 (c) 19 (d) 3
  24. 24.What is the median of 5, 19, 15, 3, 2, 22 and 24? (a) 3 (b) 15 (c) 19 (d) 5
  25. 25.What is the mode of 13, 17, 13, 8, 13, 1 and 8? (a) 17 (b) 13 (c) 8 (d) 1
  26. 26.What is the mean of 4, 12, 19, 7 and 8? (a) 12 (b) 10 (c) 9 (d) 11
  27. 27.What is the mean of 2, 6, 16 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  28. 28.What is the mode of 5, 14, 5, 5, 6, 6 and 18? (a) 6 (b) 18 (c) 14 (d) 5
  29. 29.What is the mode of 12, 12, 5, 5, 19, 4 and 12? (a) 12 (b) 4 (c) 5 (d) 19
  30. 30.What is the mode of 3, 1, 16, 9, 3, 3 and 1? (a) 1 (b) 16 (c) 9 (d) 3
  31. 31.What is the mean of 6, 15, 12 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  32. 32.What is the mean of 15, 7, 4, 16 and 8? (a) 11 (b) 12 (c) 9 (d) 10
  33. 33.What is the median of 25, 20, 26, 30, 33, 4 and 19? (a) 30 (b) 26 (c) 20 (d) 25
  34. 34.What is the median of 7, 29, 34, 33, 8, 39 and 3? (a) 30 (b) 8 (c) 33 (d) 29
  35. 35.What is the mean of 11, 19, 19, 2, 16 and 5? (a) 14 (b) 13 (c) 12 (d) 11
  36. 36.What is the mean of 7, 18, 12 and 11? (a) 11 (b) 13 (c) 16 (d) 12
  37. 37.What is the mode of 17, 1, 1, 5, 14, 5 and 1? (a) 5 (b) 14 (c) 1 (d) 17
  38. 38.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 16
  39. 39.What is the mode of 1, 13, 9, 1, 3, 1 and 13? (a) 3 (b) 9 (c) 1 (d) 13
  40. 40.What is the mean of 10, 5, 20, 2 and 8? (a) 11 (b) 8 (c) 10 (d) 9

Answer key

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

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