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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 308 · 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 33, 20, 31, 30 and 12? (a) 29 (b) 30 (c) 31 (d) 20
  2. 2.What is the median of 15, 29, 13, 22 and 27? (a) 13 (b) 27 (c) 15 (d) 22
  3. 3.What is the median of 30, 13, 4, 34, 9, 36 and 38? (a) 34 (b) 13 (c) 30 (d) 31
  4. 4.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 15 (b) 14 (c) 21 (d) 12
  5. 5.The mean of 6 numbers is 30. When the number 44 is added to them, what is the new mean? (a) 32 (b) 37 (c) 30 (d) 33
  6. 6.What is the mean of 15, 19, 17, 3, 13 and 17? (a) 15 (b) 14 (c) 12 (d) 13
  7. 7.What is the mode of 14, 17, 19, 17, 17, 1 and 14? (a) 19 (b) 14 (c) 1 (d) 17
  8. 8.What is the mode of 13, 3, 15, 13, 16, 13 and 3? (a) 13 (b) 15 (c) 3 (d) 16
  9. 9.What is the mean of 18, 13, 7, 15 and 17? (a) 15 (b) 16 (c) 14 (d) 13
  10. 10.The mean of 6 numbers is 12. When the number 19 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 15
  11. 11.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  12. 12.What is the mean of 9, 3, 3, 18, 15 and 24? (a) 14 (b) 12 (c) 13 (d) 11
  13. 13.What is the median of 33, 1, 32, 6 and 17? (a) 32 (b) 6 (c) 18 (d) 17
  14. 14.The mean of 8 numbers is 31. When the number 58 is added to them, what is the new mean? (a) 34 (b) 35 (c) 31 (d) 33
  15. 15.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 37 (b) 32 (c) 34 (d) 33
  16. 16.What is the mean of 8, 16, 6 and 18? (a) 12 (b) 16 (c) 11 (d) 13
  17. 17.What is the mean of 7, 4, 20, 9, 14 and 6? (a) 12 (b) 9 (c) 10 (d) 11
  18. 18.What is the mean of 19, 19, 14, 4 and 24? (a) 20 (b) 16 (c) 15 (d) 17
  19. 19.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 11 (b) 9 (c) 10 (d) 12
  20. 20.What is the mode of 10, 18, 19, 1, 1, 10 and 1? (a) 19 (b) 18 (c) 1 (d) 10
  21. 21.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 13 (c) 14 (d) 12
  22. 22.What is the mean of 7, 17, 19, 6, 15 and 14? (a) 13 (b) 15 (c) 14 (d) 12
  23. 23.What is the mean of 20, 13, 4, 9 and 14? (a) 13 (b) 15 (c) 10 (d) 12
  24. 24.What is the mean of 10, 9, 7, 7 and 2? (a) 8 (b) 7 (c) 6 (d) 9
  25. 25.What is the mean of 2, 11, 18 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  26. 26.What is the mean of 2, 13, 3 and 18? (a) 9 (b) 8 (c) 10 (d) 12
  27. 27.What is the mean of 5, 13, 10 and 20? (a) 12 (b) 11 (c) 13 (d) 16
  28. 28.What is the mean of 15, 17, 20 and 16? (a) 16 (b) 19 (c) 18 (d) 17
  29. 29.What is the median of 13, 27, 5, 30, 10, 39 and 17? (a) 30 (b) 17 (c) 27 (d) 13
  30. 30.What is the median of 16, 30, 7, 18 and 5? (a) 18 (b) 7 (c) 16 (d) 17
  31. 31.What is the mean of 4, 3, 16 and 21? (a) 10 (b) 12 (c) 13 (d) 11
  32. 32.What is the mean of 8, 18, 4, 7, 2 and 3? (a) 7 (b) 9 (c) 6 (d) 8
  33. 33.What is the mode of 13, 13, 18, 1, 1, 6 and 1? (a) 6 (b) 1 (c) 18 (d) 13
  34. 34.What is the median of 21, 28, 36, 34, 11, 32 and 1? (a) 21 (b) 32 (c) 28 (d) 34
  35. 35.What is the median of 14, 1, 12, 34, 26, 21 and 7? (a) 21 (b) 14 (c) 12 (d) 34
  36. 36.What is the mean of 10, 3, 5 and 6? (a) 5 (b) 6 (c) 8 (d) 7
  37. 37.What is the median of 35, 3, 28, 20, 32, 36 and 22? (a) 28 (b) 22 (c) 20 (d) 32
  38. 38.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 36 (b) 38 (c) 37 (d) 35
  39. 39.What is the median of 4, 1, 9, 3, 15, 13 and 32? (a) 9 (b) 11 (c) 3 (d) 13
  40. 40.What is the mean of 3, 18, 19 and 12? (a) 12 (b) 15 (c) 13 (d) 14

Answer key

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

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