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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 538 · 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 mean of 5, 10, 6, 8, 13 and 24? (a) 10 (b) 13 (c) 12 (d) 11
  2. 2.What is the mean of 5, 16, 9, 18, 5 and 19? (a) 11 (b) 13 (c) 14 (d) 12
  3. 3.What is the mode of 14, 13, 11, 15, 14, 14 and 13? (a) 15 (b) 14 (c) 13 (d) 11
  4. 4.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 19 (b) 25 (c) 26 (d) 24
  5. 5.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 17 (b) 13 (c) 21 (d) 18
  6. 6.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 42 (b) 44 (c) 43 (d) 40
  7. 7.What is the median of 25, 1, 24, 5 and 8? (a) 8 (b) 5 (c) 24 (d) 9
  8. 8.What is the mean of 10, 7, 7, 4, 18 and 8? (a) 10 (b) 9 (c) 8 (d) 11
  9. 9.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 26 (b) 46 (c) 31 (d) 30
  10. 10.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 31 (c) 30 (d) 32
  11. 11.What is the mode of 6, 6, 14, 6, 14, 9 and 2? (a) 2 (b) 14 (c) 9 (d) 6
  12. 12.What is the mean of 17, 11, 3 and 17? (a) 16 (b) 13 (c) 12 (d) 11
  13. 13.What is the mean of 18, 2, 9 and 7? (a) 12 (b) 9 (c) 8 (d) 10
  14. 14.What is the median of 7, 6, 37, 16 and 24? (a) 18 (b) 24 (c) 16 (d) 37
  15. 15.What is the mean of 10, 3, 14 and 13? (a) 9 (b) 11 (c) 8 (d) 10
  16. 16.What is the mode of 4, 4, 10, 6, 16, 16 and 16? (a) 4 (b) 16 (c) 10 (d) 6
  17. 17.What is the median of 10, 2, 27, 38, 31, 18 and 32? (a) 38 (b) 27 (c) 31 (d) 18
  18. 18.What is the mean of 16, 16, 6, 10, 9 and 21? (a) 15 (b) 12 (c) 14 (d) 13
  19. 19.What is the mode of 2, 11, 5, 2, 11, 2 and 1? (a) 1 (b) 11 (c) 5 (d) 2
  20. 20.What is the median of 36, 3, 29, 31 and 18? (a) 30 (b) 18 (c) 29 (d) 31
  21. 21.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 21 (b) 24 (c) 14 (d) 20
  22. 22.What is the median of 13, 24, 3, 20 and 5? (a) 20 (b) 3 (c) 5 (d) 13
  23. 23.What is the median of 19, 9, 24, 17, 3, 23 and 35? (a) 19 (b) 23 (c) 17 (d) 20
  24. 24.What is the median of 25, 5, 32, 15, 20, 28 and 23? (a) 20 (b) 25 (c) 15 (d) 23
  25. 25.What is the median of 3, 34, 17, 27, 21, 37 and 8? (a) 27 (b) 17 (c) 22 (d) 21
  26. 26.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 19
  27. 27.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 23 (b) 14 (c) 22 (d) 24
  28. 28.What is the median of 40, 38, 21, 35 and 3? (a) 36 (b) 35 (c) 21 (d) 38
  29. 29.What is the mean of 16, 15, 5, 17 and 22? (a) 16 (b) 15 (c) 17 (d) 14
  30. 30.The mean of 8 numbers is 38. When the number 47 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 41
  31. 31.What is the median of 11, 36, 33, 17 and 25? (a) 25 (b) 17 (c) 33 (d) 26
  32. 32.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 19 (b) 18 (c) 16 (d) 22
  33. 33.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 17 (c) 22 (d) 21
  34. 34.What is the mean of 3, 15, 3 and 15? (a) 8 (b) 12 (c) 10 (d) 9
  35. 35.What is the mean of 17, 3, 14, 5, 3 and 6? (a) 10 (b) 8 (c) 7 (d) 9
  36. 36.What is the mean of 20, 14, 11, 13, 9 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  37. 37.What is the mode of 4, 10, 7, 7, 15, 10 and 10? (a) 10 (b) 15 (c) 4 (d) 7
  38. 38.What is the mode of 6, 5, 6, 6, 2, 1 and 1? (a) 1 (b) 5 (c) 2 (d) 6
  39. 39.What is the mean of 2, 17, 4, 11, 15 and 5? (a) 11 (b) 10 (c) 8 (d) 9
  40. 40.What is the mean of 18, 3, 10, 19, 19 and 3? (a) 12 (b) 11 (c) 13 (d) 14

Answer key

  1. 11
  2. 12
  3. 14
  4. 24
  5. 17
  6. 42
  7. 8
  8. 9
  9. 30
  10. 30
  11. 6
  12. 12
  13. 9
  14. 16
  15. 10
  16. 16
  17. 27
  18. 13
  19. 2
  20. 29
  21. 20
  22. 13
  23. 19
  24. 23
  25. 21
  26. 16
  27. 22
  28. 35
  29. 15
  30. 39
  31. 25
  32. 18
  33. 21
  34. 9
  35. 8
  36. 13
  37. 10
  38. 6
  39. 9
  40. 12

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