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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 557 · 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 27, 38, 13, 11, 19, 39 and 2? (a) 27 (b) 11 (c) 19 (d) 13
  2. 2.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 15
  3. 3.What is the median of 39, 15, 13, 4 and 28? (a) 16 (b) 15 (c) 13 (d) 28
  4. 4.What is the mean of 11, 16, 14, 19 and 10? (a) 14 (b) 16 (c) 15 (d) 13
  5. 5.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 21 (b) 20 (c) 23 (d) 22
  6. 6.What is the mode of 20, 7, 5, 20, 7, 14 and 20? (a) 7 (b) 20 (c) 5 (d) 14
  7. 7.What is the mean of 3, 6, 4 and 3? (a) 3 (b) 6 (c) 4 (d) 5
  8. 8.What is the mean of 3, 16, 3 and 2? (a) 7 (b) 6 (c) 8 (d) 5
  9. 9.What is the mode of 2, 18, 18, 18, 14, 2 and 19? (a) 19 (b) 18 (c) 14 (d) 2
  10. 10.What is the mode of 7, 4, 4, 6, 4, 10 and 7? (a) 7 (b) 10 (c) 6 (d) 4
  11. 11.What is the mean of 14, 7, 6, 4, 19 and 16? (a) 11 (b) 12 (c) 13 (d) 10
  12. 12.What is the median of 40, 24, 13, 15 and 1? (a) 15 (b) 13 (c) 16 (d) 24
  13. 13.What is the median of 16, 14, 38, 26 and 28? (a) 16 (b) 26 (c) 28 (d) 38
  14. 14.What is the median of 1, 29, 23, 28 and 18? (a) 18 (b) 23 (c) 28 (d) 24
  15. 15.What is the mode of 14, 11, 6, 11, 11, 18 and 18? (a) 18 (b) 14 (c) 6 (d) 11
  16. 16.What is the mean of 13, 11, 18, 18, 20 and 10? (a) 14 (b) 18 (c) 15 (d) 16
  17. 17.The mean of 4 numbers is 27. When the number 42 is added to them, what is the new mean? (a) 27 (b) 30 (c) 31 (d) 29
  18. 18.What is the mean of 5, 4, 11, 12, 11 and 11? (a) 10 (b) 8 (c) 11 (d) 9
  19. 19.What is the mode of 10, 2, 12, 10, 20, 10 and 12? (a) 10 (b) 2 (c) 20 (d) 12
  20. 20.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 14
  21. 21.What is the mean of 12, 20, 10, 13, 5 and 12? (a) 13 (b) 14 (c) 11 (d) 12
  22. 22.What is the mean of 5, 4, 14, 18, 19 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  23. 23.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 36 (b) 41 (c) 40 (d) 48
  24. 24.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 28 (b) 37 (c) 36 (d) 40
  25. 25.What is the mean of 9, 11, 16 and 8? (a) 13 (b) 12 (c) 11 (d) 10
  26. 26.What is the median of 34, 33, 24, 5 and 7? (a) 33 (b) 24 (c) 7 (d) 25
  27. 27.What is the median of 1, 14, 23, 12 and 38? (a) 23 (b) 14 (c) 12 (d) 15
  28. 28.What is the mean of 10, 12, 12 and 6? (a) 10 (b) 9 (c) 11 (d) 8
  29. 29.What is the mean of 18, 10, 12 and 16? (a) 16 (b) 15 (c) 14 (d) 13
  30. 30.What is the median of 13, 29, 23, 18 and 28? (a) 28 (b) 18 (c) 23 (d) 24
  31. 31.What is the mean of 6, 15, 10, 14, 7 and 8? (a) 11 (b) 12 (c) 9 (d) 10
  32. 32.What is the mean of 8, 7, 19, 7, 16 and 9? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.What is the mean of 11, 4, 16 and 5? (a) 10 (b) 9 (c) 8 (d) 12
  34. 34.The mean of 5 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 12 (b) 15 (c) 18 (d) 14
  35. 35.What is the mode of 6, 4, 18, 3, 3, 3 and 18? (a) 18 (b) 3 (c) 4 (d) 6
  36. 36.What is the mean of 13, 2, 11, 7, 12 and 3? (a) 9 (b) 8 (c) 10 (d) 7
  37. 37.What is the mode of 6, 10, 6, 1, 1, 4 and 6? (a) 6 (b) 10 (c) 4 (d) 1
  38. 38.The mean of 9 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 35 (b) 33 (c) 30 (d) 34
  39. 39.What is the median of 38, 29, 14, 28 and 5? (a) 28 (b) 27 (c) 14 (d) 29
  40. 40.What is the mean of 2, 17, 8 and 17? (a) 13 (b) 12 (c) 11 (d) 10

Answer key

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

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