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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 453 · 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 19, 7, 7, 12, 3, 3 and 7? (a) 12 (b) 19 (c) 7 (d) 3
  2. 2.What is the median of 39, 7, 21, 10, 32, 12 and 16? (a) 10 (b) 12 (c) 21 (d) 16
  3. 3.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 26 (b) 31 (c) 29 (d) 30
  4. 4.What is the median of 22, 6, 13, 5, 4, 10 and 27? (a) 10 (b) 13 (c) 5 (d) 6
  5. 5.What is the mean of 16, 6, 15, 8, 7 and 20? (a) 13 (b) 12 (c) 11 (d) 14
  6. 6.What is the mode of 19, 3, 19, 14, 14, 7 and 14? (a) 3 (b) 14 (c) 19 (d) 7
  7. 7.The mean of 8 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 40 (b) 43 (c) 49 (d) 42
  8. 8.What is the mean of 12, 10, 5 and 9? (a) 12 (b) 8 (c) 10 (d) 9
  9. 9.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 34 (c) 31 (d) 30
  10. 10.What is the mode of 3, 11, 16, 10, 11, 3 and 11? (a) 10 (b) 16 (c) 11 (d) 3
  11. 11.What is the median of 1, 6, 11, 40 and 2? (a) 6 (b) 2 (c) 11 (d) 12
  12. 12.What is the median of 5, 29, 13, 3 and 28? (a) 13 (b) 14 (c) 5 (d) 28
  13. 13.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 19 (b) 21 (c) 23 (d) 20
  14. 14.What is the mean of 13, 8, 8 and 7? (a) 9 (b) 8 (c) 12 (d) 10
  15. 15.What is the median of 22, 7, 33, 2, 14, 32 and 3? (a) 2 (b) 22 (c) 14 (d) 7
  16. 16.What is the median of 8, 32, 39, 18, 24, 11 and 19? (a) 19 (b) 24 (c) 20 (d) 18
  17. 17.What is the mode of 2, 3, 2, 7, 12, 12 and 12? (a) 3 (b) 12 (c) 7 (d) 2
  18. 18.What is the median of 9, 24, 21, 30, 6, 36 and 4? (a) 30 (b) 9 (c) 24 (d) 21
  19. 19.What is the mean of 11, 20, 13, 8 and 23? (a) 15 (b) 14 (c) 16 (d) 17
  20. 20.What is the mean of 6, 4, 14, 12 and 19? (a) 10 (b) 13 (c) 11 (d) 12
  21. 21.What is the mode of 5, 17, 17, 5, 5, 9 and 2? (a) 5 (b) 2 (c) 17 (d) 9
  22. 22.What is the mean of 14, 3, 5 and 2? (a) 5 (b) 7 (c) 6 (d) 8
  23. 23.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 17
  24. 24.What is the mode of 6, 2, 15, 2, 6, 16 and 2? (a) 6 (b) 15 (c) 2 (d) 16
  25. 25.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
  26. 26.What is the mean of 8, 9, 19, 4 and 15? (a) 12 (b) 13 (c) 11 (d) 10
  27. 27.What is the median of 19, 8, 15, 10, 27, 36 and 25? (a) 19 (b) 20 (c) 10 (d) 25
  28. 28.What is the mean of 3, 10, 18, 13, 6 and 16? (a) 12 (b) 10 (c) 11 (d) 13
  29. 29.The mean of 6 numbers is 35. When the number 42 is added to them, what is the new mean? (a) 36 (b) 38 (c) 35 (d) 37
  30. 30.The mean of 4 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 39 (b) 33 (c) 34 (d) 29
  31. 31.What is the mode of 13, 11, 9, 11, 11, 9 and 19? (a) 11 (b) 13 (c) 19 (d) 9
  32. 32.The mean of 4 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 31
  33. 33.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 41 (b) 42 (c) 38 (d) 44
  34. 34.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 36 (b) 37 (c) 45 (d) 33
  35. 35.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 27 (b) 28 (c) 24 (d) 26
  36. 36.What is the median of 3, 23, 8, 20 and 22? (a) 8 (b) 21 (c) 20 (d) 22
  37. 37.What is the median of 3, 13, 32, 5 and 2? (a) 13 (b) 32 (c) 11 (d) 5
  38. 38.The mean of 7 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 41 (b) 44 (c) 40 (d) 42
  39. 39.What is the median of 40, 2, 33, 13 and 24? (a) 25 (b) 24 (c) 13 (d) 33
  40. 40.What is the median of 2, 40, 21, 12, 14, 29 and 19? (a) 12 (b) 19 (c) 21 (d) 14

Answer key

  1. 7
  2. 16
  3. 29
  4. 10
  5. 12
  6. 14
  7. 42
  8. 9
  9. 30
  10. 11
  11. 6
  12. 13
  13. 20
  14. 9
  15. 14
  16. 19
  17. 12
  18. 21
  19. 15
  20. 11
  21. 5
  22. 6
  23. 13
  24. 2
  25. 18
  26. 11
  27. 19
  28. 11
  29. 36
  30. 33
  31. 11
  32. 28
  33. 41
  34. 36
  35. 26
  36. 20
  37. 5
  38. 41
  39. 24
  40. 19

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