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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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