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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 252 · 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 mode of 2, 2, 10, 11, 5, 11 and 2? (a) 11 (b) 10 (c) 2 (d) 5
  2. 2.What is the mean of 2, 15, 17, 10, 9 and 19? (a) 11 (b) 14 (c) 13 (d) 12
  3. 3.What is the mean of 11, 3, 19 and 11? (a) 10 (b) 13 (c) 11 (d) 12
  4. 4.What is the mean of 11, 16, 10, 12, 2 and 15? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.The mean of 6 numbers is 18. When the number 39 is added to them, what is the new mean? (a) 22 (b) 18 (c) 20 (d) 21
  6. 6.What is the mean of 5, 6, 18 and 7? (a) 10 (b) 12 (c) 8 (d) 9
  7. 7.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 39
  8. 8.What is the mean of 17, 16, 18 and 13? (a) 17 (b) 16 (c) 15 (d) 18
  9. 9.What is the median of 4, 37, 27, 20 and 19? (a) 19 (b) 21 (c) 27 (d) 20
  10. 10.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 11
  11. 11.The mean of 3 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 28 (b) 31 (c) 34 (d) 32
  12. 12.What is the median of 5, 18, 13, 12, 9, 10 and 22? (a) 12 (b) 13 (c) 10 (d) 11
  13. 13.What is the median of 18, 5, 37, 33 and 16? (a) 18 (b) 33 (c) 37 (d) 16
  14. 14.What is the mean of 15, 18, 8, 8, 17 and 24? (a) 16 (b) 18 (c) 15 (d) 14
  15. 15.What is the mean of 12, 16, 20 and 16? (a) 18 (b) 15 (c) 17 (d) 16
  16. 16.What is the mode of 5, 12, 5, 11, 14, 11 and 5? (a) 14 (b) 11 (c) 12 (d) 5
  17. 17.What is the mode of 4, 19, 19, 6, 6, 19 and 20? (a) 4 (b) 6 (c) 20 (d) 19
  18. 18.What is the mean of 16, 5, 20, 20 and 9? (a) 16 (b) 13 (c) 14 (d) 15
  19. 19.What is the mean of 14, 14, 6 and 22? (a) 16 (b) 15 (c) 13 (d) 14
  20. 20.What is the median of 29, 28, 2, 22 and 35? (a) 28 (b) 2 (c) 22 (d) 29
  21. 21.The mean of 5 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 33 (b) 30 (c) 36 (d) 32
  22. 22.What is the mean of 2, 18, 12, 15, 12 and 13? (a) 12 (b) 13 (c) 11 (d) 14
  23. 23.What is the mode of 18, 11, 15, 18, 18, 6 and 6? (a) 15 (b) 6 (c) 18 (d) 11
  24. 24.What is the mode of 18, 16, 20, 3, 20, 3 and 3? (a) 20 (b) 3 (c) 16 (d) 18
  25. 25.What is the mean of 14, 6, 13, 18 and 19? (a) 16 (b) 14 (c) 13 (d) 15
  26. 26.What is the mean of 4, 7, 12, 15, 2 and 2? (a) 6 (b) 8 (c) 7 (d) 9
  27. 27.What is the mean of 6, 18, 13, 6, 13 and 22? (a) 15 (b) 13 (c) 12 (d) 14
  28. 28.What is the mean of 19, 5, 18 and 6? (a) 13 (b) 12 (c) 16 (d) 11
  29. 29.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 30
  30. 30.What is the mode of 12, 18, 10, 6, 10, 6 and 6? (a) 10 (b) 6 (c) 12 (d) 18
  31. 31.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 19
  32. 32.What is the mean of 18, 18, 16, 15 and 23? (a) 18 (b) 15 (c) 17 (d) 19
  33. 33.What is the median of 8, 33, 2, 18, 16, 30 and 10? (a) 17 (b) 18 (c) 10 (d) 16
  34. 34.What is the median of 29, 1, 35, 18 and 20? (a) 35 (b) 20 (c) 29 (d) 18
  35. 35.What is the mean of 4, 4, 18, 18 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  36. 36.What is the mean of 15, 17, 12, 14 and 7? (a) 13 (b) 14 (c) 12 (d) 15
  37. 37.What is the median of 16, 21, 14, 2, 9, 34 and 38? (a) 14 (b) 16 (c) 2 (d) 21
  38. 38.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  39. 39.What is the median of 11, 15, 16, 12 and 35? (a) 14 (b) 12 (c) 15 (d) 16
  40. 40.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 40

Answer key

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

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