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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 626 · 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 median of 6, 9, 13, 27 and 7? (a) 13 (b) 9 (c) 10 (d) 7
  2. 2.What is the median of 20, 8, 31, 27 and 25? (a) 20 (b) 27 (c) 25 (d) 31
  3. 3.What is the mode of 10, 9, 11, 10, 11, 11 and 18? (a) 11 (b) 10 (c) 18 (d) 9
  4. 4.What is the mean of 13, 20, 4 and 15? (a) 14 (b) 12 (c) 13 (d) 15
  5. 5.What is the mode of 5, 7, 13, 7, 13, 19 and 7? (a) 19 (b) 7 (c) 13 (d) 5
  6. 6.What is the mode of 2, 7, 6, 2, 14, 14 and 2? (a) 6 (b) 14 (c) 2 (d) 7
  7. 7.What is the mode of 4, 3, 4, 9, 12, 12 and 12? (a) 9 (b) 3 (c) 12 (d) 4
  8. 8.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 22 (b) 25 (c) 24 (d) 23
  9. 9.What is the mode of 19, 1, 12, 15, 19, 15 and 15? (a) 1 (b) 15 (c) 12 (d) 19
  10. 10.What is the mode of 14, 4, 7, 7, 2, 4 and 7? (a) 14 (b) 2 (c) 7 (d) 4
  11. 11.What is the mean of 10, 17, 6, 11 and 16? (a) 15 (b) 13 (c) 12 (d) 10
  12. 12.What is the mode of 2, 2, 5, 2, 19, 5 and 20? (a) 5 (b) 19 (c) 20 (d) 2
  13. 13.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 36
  14. 14.What is the median of 34, 29, 28, 27 and 20? (a) 29 (b) 28 (c) 30 (d) 27
  15. 15.The mean of 9 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 35 (b) 31 (c) 36 (d) 34
  16. 16.What is the mode of 12, 7, 10, 12, 4, 4 and 12? (a) 7 (b) 4 (c) 12 (d) 10
  17. 17.What is the mean of 17, 6, 14 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  18. 18.What is the mode of 1, 3, 2, 4, 4, 3 and 4? (a) 4 (b) 2 (c) 1 (d) 3
  19. 19.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 37 (b) 31 (c) 38 (d) 36
  20. 20.What is the mode of 20, 4, 4, 20, 17, 10 and 4? (a) 20 (b) 10 (c) 17 (d) 4
  21. 21.What is the mode of 4, 12, 5, 4, 11, 4 and 11? (a) 12 (b) 4 (c) 11 (d) 5
  22. 22.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 14
  23. 23.What is the mean of 10, 12, 9 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  24. 24.What is the median of 37, 6, 9, 5 and 3? (a) 9 (b) 5 (c) 6 (d) 12
  25. 25.What is the mean of 12, 2, 13, 9 and 19? (a) 13 (b) 10 (c) 11 (d) 12
  26. 26.What is the median of 11, 6, 19, 9, 29, 15 and 24? (a) 15 (b) 19 (c) 11 (d) 9
  27. 27.What is the median of 12, 13, 5, 9 and 23? (a) 9 (b) 5 (c) 13 (d) 12
  28. 28.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 20 (d) 19
  29. 29.What is the mean of 16, 18, 7, 6 and 13? (a) 10 (b) 13 (c) 12 (d) 15
  30. 30.What is the mode of 10, 7, 16, 7, 7, 10 and 5? (a) 16 (b) 10 (c) 7 (d) 5
  31. 31.What is the mean of 9, 16, 9, 17, 14 and 7? (a) 11 (b) 13 (c) 12 (d) 14
  32. 32.What is the mean of 5, 7, 13, 11, 17 and 7? (a) 11 (b) 9 (c) 12 (d) 10
  33. 33.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 14
  34. 34.The mean of 5 numbers is 11. When the number 35 is added to them, what is the new mean? (a) 15 (b) 16 (c) 11 (d) 23
  35. 35.What is the median of 19, 38, 21, 9 and 17? (a) 20 (b) 21 (c) 19 (d) 17
  36. 36.The mean of 9 numbers is 26. When the number 56 is added to them, what is the new mean? (a) 30 (b) 41 (c) 29 (d) 26
  37. 37.What is the median of 13, 7, 8, 14, 3, 4 and 5? (a) 7 (b) 8 (c) 5 (d) 14
  38. 38.What is the mode of 9, 18, 19, 18, 2, 2 and 18? (a) 18 (b) 2 (c) 9 (d) 19
  39. 39.What is the median of 38, 26, 36, 2, 16, 32 and 35? (a) 2 (b) 32 (c) 26 (d) 35
  40. 40.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 15 (b) 20 (c) 19 (d) 35

Answer key

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

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