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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 687 · 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 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 43 (b) 35 (c) 31 (d) 36
  2. 2.What is the mean of 2, 3, 10 and 17? (a) 10 (b) 9 (c) 7 (d) 8
  3. 3.What is the median of 3, 15, 6, 13, 16, 2 and 10? (a) 11 (b) 6 (c) 10 (d) 13
  4. 4.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 41 (b) 37 (c) 34 (d) 36
  5. 5.The mean of 4 numbers is 33. When the number 48 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 33
  6. 6.What is the median of 37, 23, 11, 36, 18, 39 and 30? (a) 36 (b) 23 (c) 30 (d) 31
  7. 7.What is the mean of 17, 2, 18, 19 and 14? (a) 13 (b) 15 (c) 14 (d) 16
  8. 8.What is the mode of 5, 2, 7, 2, 2, 5 and 17? (a) 2 (b) 5 (c) 17 (d) 7
  9. 9.What is the median of 21, 2, 8, 19, 10, 36 and 20? (a) 10 (b) 20 (c) 19 (d) 18
  10. 10.What is the mean of 2, 8, 8 and 6? (a) 5 (b) 6 (c) 8 (d) 7
  11. 11.What is the median of 12, 23, 5, 30 and 3? (a) 13 (b) 23 (c) 5 (d) 12
  12. 12.What is the mode of 18, 7, 7, 18, 7, 16 and 6? (a) 18 (b) 6 (c) 16 (d) 7
  13. 13.What is the mean of 8, 17, 19, 9, 2 and 11? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.What is the median of 7, 27, 28, 4, 38, 15 and 35? (a) 28 (b) 4 (c) 22 (d) 27
  15. 15.What is the median of 32, 26, 22, 9, 15, 1 and 36? (a) 15 (b) 26 (c) 22 (d) 9
  16. 16.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 28
  17. 17.What is the median of 2, 17, 14, 15 and 23? (a) 14 (b) 15 (c) 16 (d) 17
  18. 18.What is the mean of 13, 6, 14, 7 and 20? (a) 13 (b) 15 (c) 10 (d) 12
  19. 19.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 38
  20. 20.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 22 (c) 37 (d) 36
  21. 21.What is the mean of 15, 6, 13 and 14? (a) 13 (b) 12 (c) 16 (d) 11
  22. 22.What is the mean of 3, 5, 5, 9 and 23? (a) 10 (b) 11 (c) 8 (d) 9
  23. 23.What is the mode of 3, 3, 16, 9, 5, 5 and 5? (a) 9 (b) 5 (c) 3 (d) 16
  24. 24.What is the mode of 20, 19, 20, 6, 6, 7 and 20? (a) 7 (b) 6 (c) 20 (d) 19
  25. 25.What is the mean of 15, 18, 16 and 15? (a) 18 (b) 16 (c) 15 (d) 17
  26. 26.What is the mean of 20, 7, 3, 8 and 17? (a) 12 (b) 11 (c) 13 (d) 10
  27. 27.What is the mode of 9, 3, 5, 3, 9, 3 and 6? (a) 6 (b) 5 (c) 9 (d) 3
  28. 28.What is the mean of 14, 10, 10 and 6? (a) 8 (b) 9 (c) 11 (d) 10
  29. 29.What is the mean of 10, 10, 16, 3, 13 and 8? (a) 10 (b) 11 (c) 12 (d) 9
  30. 30.What is the mode of 3, 3, 2, 16, 2, 12 and 3? (a) 16 (b) 3 (c) 2 (d) 12
  31. 31.What is the mean of 8, 17, 20 and 19? (a) 16 (b) 17 (c) 15 (d) 18
  32. 32.What is the mode of 14, 16, 17, 15, 17, 15 and 17? (a) 15 (b) 16 (c) 14 (d) 17
  33. 33.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 34 (b) 35 (c) 32 (d) 33
  34. 34.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 26
  35. 35.What is the mode of 19, 19, 16, 13, 16, 16 and 7? (a) 19 (b) 13 (c) 16 (d) 7
  36. 36.What is the mode of 6, 6, 10, 8, 12, 8 and 6? (a) 12 (b) 6 (c) 8 (d) 10
  37. 37.What is the mean of 9, 14, 17, 8, 17 and 7? (a) 12 (b) 14 (c) 11 (d) 13
  38. 38.What is the mode of 5, 5, 19, 1, 19, 10 and 19? (a) 19 (b) 1 (c) 10 (d) 5
  39. 39.What is the median of 15, 2, 14, 5 and 17? (a) 14 (b) 5 (c) 13 (d) 15
  40. 40.What is the mean of 9, 6, 5 and 4? (a) 6 (b) 7 (c) 5 (d) 8

Answer key

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

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