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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 510 · 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 6, 39, 18, 7 and 12? (a) 18 (b) 7 (c) 12 (d) 13
  2. 2.What is the mean of 4, 7, 19, 11 and 19? (a) 15 (b) 12 (c) 13 (d) 10
  3. 3.What is the median of 30, 33, 28, 19, 27, 34 and 15? (a) 27 (b) 19 (c) 28 (d) 30
  4. 4.The mean of 7 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 30 (b) 28 (c) 26 (d) 29
  5. 5.What is the median of 2, 16, 24, 30, 22, 12 and 39? (a) 30 (b) 24 (c) 16 (d) 22
  6. 6.What is the mode of 5, 6, 17, 6, 17, 6 and 8? (a) 6 (b) 8 (c) 17 (d) 5
  7. 7.What is the mean of 6, 9, 6, 19, 12 and 20? (a) 14 (b) 12 (c) 11 (d) 13
  8. 8.What is the mean of 3, 5, 12, 20, 11 and 9? (a) 12 (b) 10 (c) 9 (d) 11
  9. 9.What is the mode of 11, 7, 16, 20, 11, 20 and 11? (a) 7 (b) 11 (c) 16 (d) 20
  10. 10.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 13
  11. 11.What is the mode of 1, 3, 20, 15, 20, 3 and 3? (a) 15 (b) 1 (c) 20 (d) 3
  12. 12.What is the mode of 4, 4, 16, 16, 2, 14 and 16? (a) 4 (b) 16 (c) 14 (d) 2
  13. 13.What is the mode of 4, 4, 2, 12, 15, 4 and 2? (a) 15 (b) 2 (c) 12 (d) 4
  14. 14.What is the mean of 2, 19, 20, 3 and 6? (a) 12 (b) 10 (c) 9 (d) 11
  15. 15.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 27
  16. 16.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 17 (b) 14 (c) 20 (d) 18
  17. 17.What is the mode of 4, 8, 6, 7, 6, 8 and 6? (a) 4 (b) 8 (c) 7 (d) 6
  18. 18.What is the mean of 15, 19, 9, 14 and 23? (a) 20 (b) 17 (c) 16 (d) 15
  19. 19.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 37 (b) 38 (c) 40 (d) 39
  20. 20.What is the mode of 20, 17, 20, 3, 3, 4 and 3? (a) 17 (b) 3 (c) 20 (d) 4
  21. 21.The mean of 3 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 15
  22. 22.What is the mode of 13, 11, 1, 5, 1, 5 and 5? (a) 13 (b) 5 (c) 11 (d) 1
  23. 23.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 42 (b) 45 (c) 37 (d) 41
  24. 24.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 24
  25. 25.What is the median of 6, 36, 18, 17 and 27? (a) 19 (b) 18 (c) 27 (d) 17
  26. 26.What is the mode of 1, 13, 2, 11, 1, 1 and 13? (a) 11 (b) 13 (c) 1 (d) 2
  27. 27.What is the mean of 4, 7, 20 and 17? (a) 16 (b) 13 (c) 11 (d) 12
  28. 28.What is the median of 10, 12, 33, 11, 27, 35 and 14? (a) 12 (b) 14 (c) 27 (d) 11
  29. 29.What is the mean of 19, 6, 3 and 12? (a) 8 (b) 10 (c) 11 (d) 9
  30. 30.What is the median of 8, 2, 13, 34 and 36? (a) 34 (b) 8 (c) 13 (d) 14
  31. 31.What is the median of 1, 40, 2, 7 and 19? (a) 19 (b) 8 (c) 2 (d) 7
  32. 32.What is the mean of 10, 19, 16 and 11? (a) 15 (b) 16 (c) 13 (d) 14
  33. 33.What is the median of 2, 9, 25, 24, 29, 4 and 27? (a) 25 (b) 9 (c) 23 (d) 24
  34. 34.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 28
  35. 35.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 18 (b) 14 (c) 17 (d) 20
  36. 36.What is the mode of 18, 18, 10, 17, 10, 18 and 15? (a) 17 (b) 18 (c) 10 (d) 15
  37. 37.What is the mode of 9, 2, 19, 14, 2, 14 and 14? (a) 9 (b) 2 (c) 19 (d) 14
  38. 38.What is the mode of 18, 13, 8, 8, 8, 9 and 9? (a) 9 (b) 8 (c) 18 (d) 13
  39. 39.What is the mode of 6, 6, 13, 20, 6, 18 and 18? (a) 20 (b) 6 (c) 13 (d) 18
  40. 40.What is the mode of 5, 3, 20, 20, 3, 3 and 12? (a) 12 (b) 3 (c) 5 (d) 20

Answer key

  1. 12
  2. 12
  3. 28
  4. 29
  5. 22
  6. 6
  7. 12
  8. 10
  9. 11
  10. 11
  11. 3
  12. 16
  13. 4
  14. 10
  15. 27
  16. 17
  17. 6
  18. 16
  19. 38
  20. 3
  21. 18
  22. 5
  23. 41
  24. 26
  25. 18
  26. 1
  27. 12
  28. 14
  29. 10
  30. 13
  31. 7
  32. 14
  33. 24
  34. 31
  35. 17
  36. 18
  37. 14
  38. 8
  39. 6
  40. 3

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