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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 200 · 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.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 39 (b) 38 (c) 35 (d) 40
  2. 2.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 44 (b) 39 (c) 43 (d) 53
  3. 3.What is the median of 16, 9, 19, 25, 24, 35 and 10? (a) 19 (b) 24 (c) 16 (d) 25
  4. 4.What is the mean of 10, 19, 2, 13 and 6? (a) 11 (b) 10 (c) 12 (d) 9
  5. 5.What is the mode of 17, 17, 7, 18, 20, 7 and 7? (a) 20 (b) 18 (c) 17 (d) 7
  6. 6.What is the median of 12, 2, 17, 8 and 13? (a) 12 (b) 8 (c) 13 (d) 17
  7. 7.What is the median of 19, 39, 35, 9 and 27? (a) 19 (b) 27 (c) 35 (d) 28
  8. 8.What is the mode of 8, 8, 9, 9, 18, 9 and 11? (a) 8 (b) 18 (c) 9 (d) 11
  9. 9.What is the mean of 6, 19, 5, 8, 13 and 9? (a) 11 (b) 9 (c) 10 (d) 12
  10. 10.What is the mean of 10, 10, 19, 3, 3 and 15? (a) 11 (b) 9 (c) 10 (d) 12
  11. 11.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 24 (b) 20 (c) 38 (d) 25
  12. 12.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 36 (b) 37 (c) 34 (d) 35
  13. 13.What is the mode of 5, 15, 15, 15, 16, 5 and 7? (a) 5 (b) 15 (c) 16 (d) 7
  14. 14.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 15 (b) 18 (c) 14 (d) 16
  15. 15.The mean of 8 numbers is 38. When the number 65 is added to them, what is the new mean? (a) 42 (b) 41 (c) 38 (d) 40
  16. 16.What is the mode of 3, 3, 1, 4, 17, 1 and 3? (a) 17 (b) 4 (c) 3 (d) 1
  17. 17.What is the mean of 15, 20, 9 and 20? (a) 17 (b) 16 (c) 15 (d) 18
  18. 18.What is the median of 33, 34, 39, 9, 26, 30 and 8? (a) 33 (b) 30 (c) 9 (d) 26
  19. 19.The mean of 5 numbers is 36. When the number 60 is added to them, what is the new mean? (a) 40 (b) 48 (c) 36 (d) 41
  20. 20.What is the mean of 13, 17, 16, 6, 14 and 6? (a) 12 (b) 14 (c) 13 (d) 11
  21. 21.What is the median of 32, 40, 30, 36 and 6? (a) 30 (b) 33 (c) 36 (d) 32
  22. 22.What is the median of 28, 27, 7, 29, 34, 38 and 20? (a) 28 (b) 27 (c) 30 (d) 29
  23. 23.What is the mean of 11, 2, 8 and 15? (a) 10 (b) 12 (c) 9 (d) 8
  24. 24.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 13
  25. 25.What is the median of 27, 4, 6, 18, 3, 7 and 36? (a) 7 (b) 18 (c) 8 (d) 6
  26. 26.What is the median of 10, 35, 7, 20, 14, 33 and 5? (a) 20 (b) 15 (c) 14 (d) 10
  27. 27.What is the mean of 17, 4, 5 and 2? (a) 6 (b) 7 (c) 8 (d) 9
  28. 28.What is the median of 32, 26, 4, 25 and 2? (a) 24 (b) 25 (c) 4 (d) 26
  29. 29.What is the mean of 13, 15, 8 and 20? (a) 13 (b) 15 (c) 16 (d) 14
  30. 30.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 34 (b) 36 (c) 27 (d) 33
  31. 31.What is the mean of 19, 3, 7, 12, 11 and 8? (a) 12 (b) 9 (c) 11 (d) 10
  32. 32.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 27
  33. 33.What is the mean of 2, 5, 6, 20, 14 and 19? (a) 11 (b) 10 (c) 13 (d) 12
  34. 34.What is the median of 11, 28, 39, 6 and 8? (a) 11 (b) 28 (c) 8 (d) 39
  35. 35.What is the mean of 19, 14, 11 and 4? (a) 12 (b) 13 (c) 11 (d) 16
  36. 36.What is the mode of 19, 8, 1, 11, 8, 19 and 19? (a) 11 (b) 1 (c) 8 (d) 19
  37. 37.What is the mean of 15, 5, 20, 11 and 9? (a) 12 (b) 15 (c) 10 (d) 13
  38. 38.What is the median of 33, 22, 20, 30, 27, 21 and 35? (a) 27 (b) 28 (c) 22 (d) 30
  39. 39.What is the mean of 14, 5, 10, 5 and 16? (a) 12 (b) 9 (c) 11 (d) 10
  40. 40.What is the mean of 14, 20, 3 and 11? (a) 13 (b) 11 (c) 12 (d) 16

Answer key

  1. 38
  2. 43
  3. 19
  4. 10
  5. 7
  6. 12
  7. 27
  8. 9
  9. 10
  10. 10
  11. 24
  12. 35
  13. 15
  14. 15
  15. 41
  16. 3
  17. 16
  18. 30
  19. 40
  20. 12
  21. 32
  22. 28
  23. 9
  24. 14
  25. 7
  26. 14
  27. 7
  28. 25
  29. 14
  30. 33
  31. 10
  32. 28
  33. 11
  34. 11
  35. 12
  36. 19
  37. 12
  38. 27
  39. 10
  40. 12

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