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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 823 · 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 19, 24, 31, 22, 6, 16 and 4? (a) 19 (b) 16 (c) 22 (d) 20
  2. 2.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 29 (b) 27 (c) 23 (d) 28
  3. 3.What is the mode of 12, 4, 11, 17, 17, 11 and 11? (a) 17 (b) 4 (c) 11 (d) 12
  4. 4.What is the median of 29, 6, 5, 38 and 3? (a) 5 (b) 6 (c) 7 (d) 29
  5. 5.What is the mean of 19, 5, 11, 3, 10 and 24? (a) 14 (b) 13 (c) 11 (d) 12
  6. 6.What is the mean of 7, 8, 7, 7 and 16? (a) 10 (b) 9 (c) 8 (d) 11
  7. 7.What is the mode of 16, 16, 19, 4, 7, 7 and 16? (a) 19 (b) 4 (c) 7 (d) 16
  8. 8.What is the mean of 10, 17, 4 and 17? (a) 11 (b) 16 (c) 12 (d) 13
  9. 9.What is the median of 11, 6, 19, 10, 17, 5 and 27? (a) 17 (b) 11 (c) 10 (d) 12
  10. 10.What is the median of 20, 4, 39, 1 and 22? (a) 22 (b) 4 (c) 20 (d) 39
  11. 11.What is the mode of 12, 2, 11, 11, 20, 12 and 11? (a) 2 (b) 12 (c) 20 (d) 11
  12. 12.What is the mean of 10, 6, 12 and 12? (a) 10 (b) 8 (c) 9 (d) 11
  13. 13.What is the mean of 4, 2, 20, 17, 17 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  14. 14.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 20 (b) 16 (c) 12 (d) 17
  15. 15.What is the median of 20, 28, 6, 3, 26, 25 and 30? (a) 3 (b) 20 (c) 25 (d) 26
  16. 16.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 13 (c) 10 (d) 12
  17. 17.What is the mean of 6, 2, 20, 14 and 13? (a) 10 (b) 12 (c) 13 (d) 11
  18. 18.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 18 (b) 25 (c) 17 (d) 15
  19. 19.What is the mode of 11, 14, 5, 8, 5, 5 and 11? (a) 14 (b) 5 (c) 8 (d) 11
  20. 20.The mean of 8 numbers is 19. When the number 28 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 19
  21. 21.What is the median of 3, 12, 16, 35 and 13? (a) 14 (b) 12 (c) 16 (d) 13
  22. 22.What is the mode of 19, 12, 5, 5, 13, 12 and 12? (a) 12 (b) 19 (c) 5 (d) 13
  23. 23.What is the median of 37, 7, 28, 25, 39, 35 and 3? (a) 35 (b) 25 (c) 29 (d) 28
  24. 24.What is the mode of 16, 16, 10, 6, 7, 10 and 16? (a) 6 (b) 16 (c) 7 (d) 10
  25. 25.The mean of 5 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 24 (b) 30 (c) 26 (d) 27
  26. 26.What is the median of 12, 4, 36, 7, 30, 33 and 17? (a) 12 (b) 30 (c) 7 (d) 17
  27. 27.What is the median of 2, 24, 3, 23 and 13? (a) 14 (b) 13 (c) 3 (d) 23
  28. 28.What is the mean of 11, 3, 2, 8, 2 and 16? (a) 9 (b) 7 (c) 8 (d) 6
  29. 29.What is the mode of 9, 6, 6, 12, 4, 9 and 6? (a) 12 (b) 6 (c) 4 (d) 9
  30. 30.What is the mode of 2, 3, 2, 2, 11, 11 and 14? (a) 3 (b) 14 (c) 2 (d) 11
  31. 31.The mean of 8 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 11 (b) 14 (c) 20 (d) 13
  32. 32.What is the mean of 18, 3, 2, 17 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  33. 33.What is the mean of 10, 2, 20, 5, 19 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  34. 34.What is the median of 7, 21, 5, 26 and 31? (a) 5 (b) 18 (c) 26 (d) 21
  35. 35.What is the mean of 7, 14, 17, 3, 2 and 11? (a) 10 (b) 9 (c) 11 (d) 8
  36. 36.What is the median of 38, 1, 13, 17 and 8? (a) 8 (b) 14 (c) 17 (d) 13
  37. 37.The mean of 5 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 30 (b) 29 (c) 27 (d) 33
  38. 38.What is the mean of 5, 19, 15, 18 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  39. 39.What is the mode of 1, 1, 10, 9, 9, 12 and 1? (a) 10 (b) 12 (c) 9 (d) 1
  40. 40.The mean of 5 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 42 (b) 47 (c) 38 (d) 41

Answer key

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

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