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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 752 · 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 12, 6, 15 and 7? (a) 9 (b) 10 (c) 11 (d) 8
  2. 2.What is the median of 37, 14, 4, 11, 21, 40 and 31? (a) 14 (b) 11 (c) 31 (d) 21
  3. 3.What is the mean of 15, 17, 2, 19, 7 and 24? (a) 12 (b) 14 (c) 15 (d) 13
  4. 4.What is the mean of 12, 7, 15, 11 and 5? (a) 9 (b) 11 (c) 10 (d) 12
  5. 5.What is the median of 2, 36, 37, 1, 34, 38 and 40? (a) 34 (b) 37 (c) 1 (d) 36
  6. 6.The mean of 4 numbers is 21. When the number 6 is added to them, what is the new mean? (a) 18 (b) 19 (c) 21 (d) 17
  7. 7.What is the median of 11, 19, 17, 14 and 15? (a) 16 (b) 14 (c) 15 (d) 17
  8. 8.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 7
  9. 9.What is the mean of 20, 2, 9 and 17? (a) 11 (b) 16 (c) 12 (d) 13
  10. 10.What is the median of 13, 21, 39, 33, 6, 1 and 11? (a) 13 (b) 11 (c) 33 (d) 21
  11. 11.What is the median of 5, 27, 32, 24 and 7? (a) 24 (b) 32 (c) 19 (d) 27
  12. 12.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 33 (b) 29 (c) 34 (d) 49
  13. 13.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 31 (b) 35 (c) 33 (d) 34
  14. 14.What is the median of 39, 3, 11, 5 and 2? (a) 12 (b) 3 (c) 5 (d) 11
  15. 15.What is the median of 19, 8, 39, 30, 10, 7 and 37? (a) 19 (b) 10 (c) 30 (d) 20
  16. 16.The mean of 5 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 27 (b) 32 (c) 31 (d) 33
  17. 17.What is the mean of 20, 19, 19 and 10? (a) 19 (b) 17 (c) 18 (d) 16
  18. 18.What is the mean of 18, 15, 5, 15, 16 and 15? (a) 13 (b) 14 (c) 12 (d) 15
  19. 19.What is the mean of 20, 15, 12, 7, 13 and 23? (a) 16 (b) 15 (c) 18 (d) 14
  20. 20.What is the median of 30, 2, 40, 4 and 5? (a) 4 (b) 30 (c) 5 (d) 40
  21. 21.What is the mean of 2, 19, 6, 12 and 16? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.What is the mean of 4, 2, 14 and 16? (a) 8 (b) 10 (c) 9 (d) 12
  23. 23.What is the median of 6, 35, 23, 21, 32, 1 and 12? (a) 23 (b) 22 (c) 21 (d) 12
  24. 24.What is the mean of 2, 6, 2, 16 and 14? (a) 9 (b) 8 (c) 10 (d) 7
  25. 25.What is the median of 28, 35, 37, 1, 13, 33 and 11? (a) 13 (b) 28 (c) 1 (d) 33
  26. 26.What is the median of 13, 12, 36, 34 and 10? (a) 21 (b) 36 (c) 13 (d) 34
  27. 27.The mean of 9 numbers is 32. When the number 72 is added to them, what is the new mean? (a) 36 (b) 52 (c) 37 (d) 32
  28. 28.What is the mean of 20, 20, 6, 8, 12 and 18? (a) 12 (b) 13 (c) 15 (d) 14
  29. 29.What is the mean of 4, 5, 19, 20, 18 and 6? (a) 14 (b) 12 (c) 11 (d) 13
  30. 30.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 11
  31. 31.What is the mean of 20, 8, 13, 5, 6 and 8? (a) 12 (b) 11 (c) 9 (d) 10
  32. 32.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 46 (b) 38 (c) 42 (d) 43
  33. 33.What is the mean of 6, 17, 10, 2 and 15? (a) 10 (b) 9 (c) 11 (d) 12
  34. 34.The mean of 4 numbers is 24. When the number 19 is added to them, what is the new mean? (a) 23 (b) 25 (c) 22 (d) 24
  35. 35.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 30
  36. 36.What is the mean of 19, 14, 3 and 12? (a) 16 (b) 12 (c) 11 (d) 13
  37. 37.What is the mean of 14, 11, 6 and 5? (a) 8 (b) 12 (c) 9 (d) 10
  38. 38.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 23 (b) 24 (c) 26 (d) 25
  39. 39.What is the median of 20, 33, 22, 30, 12, 25 and 19? (a) 30 (b) 23 (c) 25 (d) 22
  40. 40.What is the mode of 1, 3, 1, 18, 3, 4 and 3? (a) 1 (b) 18 (c) 3 (d) 4

Answer key

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

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