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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 250 · 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 33, 11, 36, 34, 5, 10 and 4? (a) 19 (b) 33 (c) 11 (d) 34
  2. 2.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 36 (b) 40 (c) 41 (d) 50
  3. 3.What is the mean of 10, 3, 4, 8 and 10? (a) 9 (b) 7 (c) 8 (d) 6
  4. 4.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 26 (b) 18 (c) 22 (d) 23
  5. 5.What is the mean of 15, 15, 3, 9 and 23? (a) 13 (b) 12 (c) 14 (d) 15
  6. 6.What is the mean of 11, 15, 2, 3 and 4? (a) 6 (b) 9 (c) 7 (d) 8
  7. 7.What is the median of 21, 17, 35, 28, 12, 8 and 14? (a) 17 (b) 21 (c) 14 (d) 28
  8. 8.What is the mode of 12, 16, 11, 2, 11, 11 and 12? (a) 2 (b) 11 (c) 16 (d) 12
  9. 9.What is the mean of 3, 3, 8, 9, 3 and 22? (a) 9 (b) 7 (c) 10 (d) 8
  10. 10.The mean of 5 numbers is 19. When the number 25 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 19
  11. 11.What is the mean of 17, 20, 7, 9 and 7? (a) 15 (b) 13 (c) 10 (d) 12
  12. 12.What is the mean of 5, 2, 20, 11 and 22? (a) 12 (b) 10 (c) 13 (d) 15
  13. 13.What is the mean of 3, 13, 18 and 2? (a) 9 (b) 12 (c) 10 (d) 8
  14. 14.What is the median of 9, 29, 30, 13, 38, 26 and 8? (a) 26 (b) 13 (c) 27 (d) 29
  15. 15.The mean of 3 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 25 (c) 29 (d) 30
  16. 16.What is the median of 2, 13, 9, 32 and 11? (a) 9 (b) 12 (c) 11 (d) 13
  17. 17.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 13 (b) 14 (c) 19 (d) 11
  18. 18.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 8
  19. 19.What is the median of 36, 28, 19, 33 and 1? (a) 29 (b) 33 (c) 19 (d) 28
  20. 20.What is the mode of 17, 10, 11, 11, 17, 17 and 13? (a) 17 (b) 13 (c) 10 (d) 11
  21. 21.What is the mean of 3, 16, 11 and 18? (a) 13 (b) 12 (c) 16 (d) 11
  22. 22.What is the mode of 2, 2, 6, 5, 2, 5 and 20? (a) 5 (b) 6 (c) 20 (d) 2
  23. 23.What is the mean of 14, 17, 11, 15, 5 and 4? (a) 12 (b) 10 (c) 13 (d) 11
  24. 24.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 33 (b) 28 (c) 29 (d) 26
  25. 25.The mean of 3 numbers is 17. When the number 21 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  26. 26.What is the mode of 20, 13, 20, 1, 20, 17 and 13? (a) 20 (b) 1 (c) 17 (d) 13
  27. 27.The mean of 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 33 (b) 17 (c) 30 (d) 29
  28. 28.What is the median of 18, 2, 3, 15 and 32? (a) 3 (b) 18 (c) 15 (d) 14
  29. 29.What is the mode of 6, 6, 4, 3, 7, 4 and 6? (a) 7 (b) 6 (c) 3 (d) 4
  30. 30.What is the mode of 1, 3, 17, 3, 17, 17 and 12? (a) 3 (b) 17 (c) 12 (d) 1
  31. 31.What is the mean of 16, 14, 2 and 12? (a) 10 (b) 11 (c) 12 (d) 13
  32. 32.What is the mode of 2, 2, 18, 15, 19, 18 and 18? (a) 18 (b) 15 (c) 19 (d) 2
  33. 33.What is the median of 10, 1, 14, 27, 31, 13 and 32? (a) 13 (b) 14 (c) 15 (d) 27
  34. 34.What is the mean of 5, 11, 3 and 9? (a) 7 (b) 6 (c) 9 (d) 8
  35. 35.What is the mode of 10, 10, 13, 2, 10, 5 and 5? (a) 13 (b) 2 (c) 5 (d) 10
  36. 36.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 34 (b) 30 (c) 31 (d) 29
  37. 37.What is the mean of 2, 18, 4, 20, 2 and 20? (a) 13 (b) 11 (c) 10 (d) 12
  38. 38.What is the mean of 5, 19, 14, 13, 8 and 13? (a) 11 (b) 12 (c) 14 (d) 13
  39. 39.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 16 (b) 14 (c) 18 (d) 15
  40. 40.What is the median of 40, 36, 18, 7 and 33? (a) 33 (b) 34 (c) 18 (d) 36

Answer key

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

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