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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 12 · 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 18, 16, 2 and 8? (a) 10 (b) 12 (c) 13 (d) 11
  2. 2.What is the median of 22, 9, 3, 36 and 32? (a) 32 (b) 3 (c) 22 (d) 9
  3. 3.What is the mode of 12, 14, 12, 5, 12, 1 and 1? (a) 14 (b) 5 (c) 12 (d) 1
  4. 4.What is the median of 12, 6, 17, 1, 4, 25 and 15? (a) 15 (b) 1 (c) 6 (d) 12
  5. 5.What is the mean of 6, 15, 18, 13, 7 and 13? (a) 14 (b) 12 (c) 13 (d) 11
  6. 6.What is the mean of 13, 15, 11 and 17? (a) 13 (b) 14 (c) 16 (d) 15
  7. 7.What is the mean of 8, 3, 19, 2 and 13? (a) 11 (b) 8 (c) 9 (d) 10
  8. 8.The mean of 4 numbers is 25. When the number 30 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 25
  9. 9.The mean of 9 numbers is 32. When the number 72 is added to them, what is the new mean? (a) 32 (b) 36 (c) 37 (d) 52
  10. 10.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 34 (b) 37 (c) 23 (d) 33
  11. 11.The mean of 3 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 29 (b) 23 (c) 26 (d) 27
  12. 12.What is the mean of 13, 10, 7 and 18? (a) 16 (b) 13 (c) 11 (d) 12
  13. 13.What is the mean of 15, 14, 19, 7, 16 and 25? (a) 15 (b) 17 (c) 18 (d) 16
  14. 14.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 16 (b) 15 (c) 17 (d) 18
  15. 15.What is the mean of 17, 14, 12, 13 and 9? (a) 15 (b) 14 (c) 12 (d) 13
  16. 16.What is the mode of 20, 4, 1, 6, 1, 6 and 6? (a) 1 (b) 20 (c) 6 (d) 4
  17. 17.What is the median of 27, 33, 38, 24 and 37? (a) 38 (b) 27 (c) 37 (d) 33
  18. 18.The mean of 7 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 39 (b) 41 (c) 43 (d) 40
  19. 19.What is the mode of 14, 14, 4, 14, 10, 9 and 10? (a) 9 (b) 10 (c) 4 (d) 14
  20. 20.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 36 (b) 37 (c) 40 (d) 32
  21. 21.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 9 (b) 11 (c) 12 (d) 10
  22. 22.The mean of 7 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 26 (b) 38 (c) 29 (d) 30
  23. 23.What is the median of 1, 35, 25, 20, 6, 32 and 22? (a) 20 (b) 23 (c) 22 (d) 25
  24. 24.The mean of 6 numbers is 35. When the number 56 is added to them, what is the new mean? (a) 35 (b) 39 (c) 37 (d) 38
  25. 25.What is the mode of 9, 12, 9, 9, 11, 11 and 6? (a) 6 (b) 12 (c) 11 (d) 9
  26. 26.What is the median of 3, 24, 19, 7, 11, 12 and 21? (a) 7 (b) 11 (c) 12 (d) 19
  27. 27.What is the mode of 18, 15, 18, 15, 9, 17 and 18? (a) 15 (b) 18 (c) 17 (d) 9
  28. 28.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 25
  29. 29.What is the mode of 7, 7, 10, 10, 15, 18 and 10? (a) 18 (b) 7 (c) 15 (d) 10
  30. 30.What is the mean of 4, 3, 15, 8 and 15? (a) 9 (b) 8 (c) 10 (d) 11
  31. 31.The mean of 6 numbers is 22. When the number 15 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 22
  32. 32.What is the mode of 9, 9, 4, 5, 14, 14 and 9? (a) 4 (b) 5 (c) 9 (d) 14
  33. 33.What is the mean of 9, 2, 10 and 19? (a) 11 (b) 8 (c) 10 (d) 9
  34. 34.The mean of 5 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 42 (b) 41 (c) 47 (d) 38
  35. 35.What is the median of 21, 16, 11, 25, 40, 24 and 9? (a) 24 (b) 21 (c) 16 (d) 25
  36. 36.What is the mean of 8, 13, 2, 17 and 10? (a) 10 (b) 12 (c) 11 (d) 9
  37. 37.What is the mode of 19, 3, 4, 4, 4, 12 and 12? (a) 19 (b) 12 (c) 4 (d) 3
  38. 38.What is the mode of 3, 3, 20, 15, 1, 1 and 1? (a) 3 (b) 20 (c) 1 (d) 15
  39. 39.What is the mean of 5, 10, 18, 20 and 17? (a) 15 (b) 13 (c) 14 (d) 16
  40. 40.What is the median of 3, 12, 2, 35 and 32? (a) 32 (b) 12 (c) 2 (d) 3

Answer key

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

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