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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 514 · 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 7, 6, 14 and 21? (a) 12 (b) 16 (c) 13 (d) 11
  2. 2.What is the mean of 12, 12, 11, 6, 7 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  3. 3.What is the mode of 15, 2, 15, 2, 5, 11 and 15? (a) 5 (b) 2 (c) 11 (d) 15
  4. 4.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 39 (b) 36 (c) 37 (d) 30
  5. 5.What is the mean of 5, 3, 8, 7 and 12? (a) 9 (b) 6 (c) 8 (d) 7
  6. 6.What is the mode of 10, 7, 5, 7, 5, 7 and 17? (a) 7 (b) 10 (c) 17 (d) 5
  7. 7.What is the median of 10, 5, 23, 3, 22, 2 and 39? (a) 5 (b) 10 (c) 22 (d) 3
  8. 8.What is the mode of 20, 16, 8, 4, 4, 4 and 20? (a) 16 (b) 20 (c) 8 (d) 4
  9. 9.What is the median of 11, 9, 21, 4 and 27? (a) 9 (b) 12 (c) 11 (d) 21
  10. 10.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 45 (b) 44 (c) 50 (d) 40
  11. 11.What is the mode of 4, 7, 18, 18, 7, 7 and 2? (a) 4 (b) 18 (c) 7 (d) 2
  12. 12.What is the median of 14, 25, 15, 8 and 1? (a) 13 (b) 15 (c) 8 (d) 14
  13. 13.What is the mean of 16, 3, 14, 12 and 10? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.What is the median of 28, 4, 18, 12 and 6? (a) 13 (b) 12 (c) 18 (d) 6
  15. 15.What is the mean of 2, 16, 6 and 16? (a) 8 (b) 11 (c) 10 (d) 9
  16. 16.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 15
  17. 17.What is the mode of 11, 2, 11, 12, 17, 2 and 11? (a) 2 (b) 17 (c) 12 (d) 11
  18. 18.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 38
  19. 19.What is the median of 10, 11, 23, 9, 8, 28 and 4? (a) 11 (b) 10 (c) 12 (d) 9
  20. 20.What is the mean of 9, 9, 18, 12, 3 and 9? (a) 9 (b) 12 (c) 11 (d) 10
  21. 21.What is the mean of 16, 5, 17, 15 and 7? (a) 13 (b) 15 (c) 12 (d) 10
  22. 22.What is the mean of 9, 19, 16, 6, 3 and 13? (a) 12 (b) 11 (c) 13 (d) 10
  23. 23.The mean of 8 numbers is 34. When the number 52 is added to them, what is the new mean? (a) 34 (b) 43 (c) 37 (d) 36
  24. 24.What is the median of 7, 11, 23, 12 and 30? (a) 12 (b) 11 (c) 13 (d) 23
  25. 25.What is the mean of 15, 18, 17, 2, 4 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  26. 26.The mean of 7 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 35 (b) 33 (c) 37 (d) 36
  27. 27.What is the mean of 17, 2, 8, 16 and 7? (a) 10 (b) 12 (c) 11 (d) 9
  28. 28.What is the median of 2, 5, 30, 31 and 35? (a) 29 (b) 5 (c) 30 (d) 31
  29. 29.What is the mean of 17, 15, 2 and 14? (a) 16 (b) 12 (c) 13 (d) 11
  30. 30.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 18 (b) 20 (c) 15 (d) 17
  31. 31.What is the median of 8, 18, 4, 27 and 40? (a) 27 (b) 8 (c) 4 (d) 18
  32. 32.The mean of 8 numbers is 24. When the number 60 is added to them, what is the new mean? (a) 28 (b) 42 (c) 29 (d) 24
  33. 33.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 31 (b) 26 (c) 30 (d) 40
  34. 34.What is the median of 32, 29, 5, 26, 15, 13 and 18? (a) 15 (b) 26 (c) 19 (d) 18
  35. 35.What is the mean of 4, 6, 13, 11 and 16? (a) 12 (b) 10 (c) 11 (d) 9
  36. 36.What is the median of 9, 39, 35, 13, 21, 31 and 19? (a) 13 (b) 19 (c) 21 (d) 31
  37. 37.What is the mean of 17, 2, 20, 16, 2 and 9? (a) 12 (b) 10 (c) 13 (d) 11
  38. 38.What is the median of 22, 34, 2, 36 and 6? (a) 2 (b) 22 (c) 20 (d) 34
  39. 39.What is the mean of 19, 20, 19, 13, 15 and 10? (a) 16 (b) 18 (c) 17 (d) 15
  40. 40.What is the mode of 7, 16, 7, 2, 2, 2 and 6? (a) 16 (b) 6 (c) 7 (d) 2

Answer key

  1. 12
  2. 9
  3. 15
  4. 36
  5. 7
  6. 7
  7. 10
  8. 4
  9. 11
  10. 44
  11. 7
  12. 14
  13. 11
  14. 12
  15. 10
  16. 15
  17. 11
  18. 39
  19. 10
  20. 10
  21. 12
  22. 11
  23. 36
  24. 12
  25. 13
  26. 36
  27. 10
  28. 30
  29. 12
  30. 17
  31. 18
  32. 28
  33. 30
  34. 18
  35. 10
  36. 21
  37. 11
  38. 22
  39. 16
  40. 2

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