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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 187 · 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 12, 19, 24, 8 and 35? (a) 20 (b) 19 (c) 24 (d) 12
  2. 2.What is the mode of 5, 2, 1, 2, 12, 2 and 1? (a) 2 (b) 12 (c) 1 (d) 5
  3. 3.What is the mean of 11, 12, 12, 3 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  4. 4.What is the median of 27, 37, 39, 35 and 7? (a) 39 (b) 35 (c) 37 (d) 29
  5. 5.What is the mean of 13, 3, 12, 16, 2 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  6. 6.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 11
  7. 7.What is the mode of 4, 8, 4, 20, 11, 4 and 8? (a) 8 (b) 20 (c) 11 (d) 4
  8. 8.The mean of 3 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 31 (b) 35 (c) 34 (d) 37
  9. 9.What is the median of 34, 27, 18, 24 and 9? (a) 27 (b) 25 (c) 18 (d) 24
  10. 10.What is the median of 34, 5, 25, 22, 8, 2 and 15? (a) 15 (b) 8 (c) 16 (d) 22
  11. 11.What is the median of 38, 21, 8, 37 and 24? (a) 21 (b) 37 (c) 24 (d) 8
  12. 12.What is the median of 30, 32, 18, 19 and 5? (a) 19 (b) 30 (c) 20 (d) 18
  13. 13.What is the mode of 11, 6, 3, 5, 5, 5 and 11? (a) 11 (b) 6 (c) 3 (d) 5
  14. 14.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 10 (b) 15 (c) 18 (d) 14
  15. 15.What is the mean of 3, 4, 19, 14 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  16. 16.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 18 (b) 19 (c) 15 (d) 20
  17. 17.What is the mean of 13, 20, 19 and 8? (a) 12 (b) 16 (c) 20 (d) 15
  18. 18.What is the mean of 10, 9, 10 and 19? (a) 16 (b) 11 (c) 13 (d) 12
  19. 19.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 8 (b) 10 (c) 11 (d) 9
  20. 20.What is the median of 22, 19, 15, 38 and 5? (a) 15 (b) 22 (c) 19 (d) 20
  21. 21.What is the mean of 4, 4, 10 and 6? (a) 8 (b) 7 (c) 5 (d) 6
  22. 22.What is the median of 11, 34, 8, 31 and 10? (a) 8 (b) 10 (c) 31 (d) 11
  23. 23.What is the mode of 6, 16, 6, 16, 10, 6 and 1? (a) 16 (b) 6 (c) 1 (d) 10
  24. 24.What is the mode of 2, 19, 11, 18, 19, 19 and 18? (a) 19 (b) 18 (c) 2 (d) 11
  25. 25.What is the mode of 1, 4, 13, 13, 1, 2 and 13? (a) 2 (b) 1 (c) 4 (d) 13
  26. 26.What is the mode of 3, 8, 16, 3, 6, 16 and 3? (a) 3 (b) 8 (c) 6 (d) 16
  27. 27.What is the mode of 14, 12, 11, 12, 14, 12 and 19? (a) 14 (b) 11 (c) 12 (d) 19
  28. 28.What is the mean of 6, 14, 19, 9, 3 and 9? (a) 12 (b) 10 (c) 9 (d) 11
  29. 29.What is the median of 37, 24, 6, 30, 12, 14 and 1? (a) 24 (b) 30 (c) 14 (d) 12
  30. 30.The mean of 3 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 35
  31. 31.What is the median of 6, 39, 25, 16 and 32? (a) 32 (b) 16 (c) 26 (d) 25
  32. 32.What is the median of 8, 3, 10, 5 and 38? (a) 9 (b) 8 (c) 10 (d) 5
  33. 33.What is the median of 22, 16, 11, 9 and 6? (a) 11 (b) 9 (c) 16 (d) 12
  34. 34.What is the mode of 19, 19, 5, 5, 4, 19 and 11? (a) 5 (b) 11 (c) 19 (d) 4
  35. 35.What is the mode of 3, 20, 4, 3, 9, 3 and 9? (a) 9 (b) 4 (c) 20 (d) 3
  36. 36.What is the mean of 2, 20, 16, 5 and 17? (a) 13 (b) 15 (c) 10 (d) 12
  37. 37.What is the mode of 4, 20, 3, 15, 20, 15 and 15? (a) 3 (b) 20 (c) 15 (d) 4
  38. 38.What is the mode of 8, 8, 2, 14, 8, 2 and 5? (a) 2 (b) 8 (c) 14 (d) 5
  39. 39.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 30
  40. 40.What is the median of 8, 13, 12, 23, 28, 25 and 29? (a) 13 (b) 24 (c) 25 (d) 23

Answer key

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

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