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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 560 · 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 20, 14, 6 and 8? (a) 12 (b) 13 (c) 16 (d) 11
  2. 2.What is the mean of 5, 13, 2, 14, 5 and 3? (a) 8 (b) 9 (c) 7 (d) 6
  3. 3.What is the mode of 1, 8, 5, 5, 5, 9 and 8? (a) 1 (b) 9 (c) 5 (d) 8
  4. 4.What is the mean of 19, 10, 4, 6, 4 and 5? (a) 9 (b) 7 (c) 10 (d) 8
  5. 5.What is the mode of 20, 20, 16, 20, 17, 17 and 18? (a) 18 (b) 16 (c) 17 (d) 20
  6. 6.What is the mean of 15, 3, 17, 14, 7 and 16? (a) 12 (b) 13 (c) 11 (d) 14
  7. 7.What is the mode of 7, 3, 14, 4, 14, 3 and 3? (a) 3 (b) 4 (c) 7 (d) 14
  8. 8.What is the mode of 5, 5, 5, 8, 8, 7 and 3? (a) 8 (b) 7 (c) 5 (d) 3
  9. 9.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 12 (b) 10 (c) 13 (d) 11
  10. 10.What is the mean of 4, 16, 7 and 13? (a) 10 (b) 8 (c) 11 (d) 9
  11. 11.The mean of 7 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 28 (b) 20 (c) 19 (d) 16
  12. 12.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 35 (b) 32 (c) 38 (d) 36
  13. 13.What is the mode of 8, 13, 5, 8, 12, 5 and 5? (a) 5 (b) 13 (c) 12 (d) 8
  14. 14.What is the mean of 15, 2, 5, 7, 2 and 5? (a) 7 (b) 6 (c) 8 (d) 5
  15. 15.What is the mean of 10, 5, 16 and 5? (a) 12 (b) 9 (c) 8 (d) 10
  16. 16.The mean of 8 numbers is 39. When the number 66 is added to them, what is the new mean? (a) 42 (b) 39 (c) 43 (d) 41
  17. 17.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 38 (b) 35 (c) 37 (d) 36
  18. 18.What is the mean of 10, 2, 18, 10, 18 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  19. 19.What is the median of 1, 15, 5, 11, 2, 33 and 21? (a) 15 (b) 12 (c) 5 (d) 11
  20. 20.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 12 (b) 14 (c) 16 (d) 13
  21. 21.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 11
  22. 22.What is the median of 27, 40, 3, 38, 22, 12 and 15? (a) 15 (b) 27 (c) 22 (d) 38
  23. 23.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 38 (c) 33 (d) 37
  24. 24.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 11 (b) 15 (c) 13 (d) 12
  25. 25.What is the median of 23, 31, 34, 3 and 14? (a) 34 (b) 21 (c) 23 (d) 31
  26. 26.What is the mean of 18, 6, 17, 16 and 18? (a) 15 (b) 14 (c) 16 (d) 17
  27. 27.What is the mean of 14, 12, 16, 4, 7 and 19? (a) 13 (b) 11 (c) 12 (d) 14
  28. 28.What is the median of 22, 29, 23, 4, 34, 7 and 1? (a) 7 (b) 4 (c) 23 (d) 22
  29. 29.What is the median of 13, 18, 6, 22, 10, 28 and 38? (a) 18 (b) 13 (c) 19 (d) 22
  30. 30.What is the mean of 14, 7, 14 and 13? (a) 11 (b) 13 (c) 12 (d) 16
  31. 31.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 26 (b) 29 (c) 30 (d) 28
  32. 32.What is the mean of 18, 2, 12 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  33. 33.What is the mean of 3, 4, 11 and 18? (a) 8 (b) 12 (c) 9 (d) 10
  34. 34.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 13
  35. 35.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 29 (c) 21 (d) 23
  36. 36.What is the median of 10, 28, 3, 30, 1, 7 and 37? (a) 10 (b) 7 (c) 28 (d) 30
  37. 37.What is the median of 34, 16, 6, 27, 25, 10 and 38? (a) 26 (b) 27 (c) 25 (d) 16
  38. 38.What is the median of 7, 35, 18, 40 and 13? (a) 18 (b) 35 (c) 13 (d) 19
  39. 39.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 28 (b) 16 (c) 24 (d) 25
  40. 40.What is the mode of 5, 6, 6, 19, 1, 5 and 6? (a) 19 (b) 5 (c) 1 (d) 6

Answer key

  1. 12
  2. 7
  3. 5
  4. 8
  5. 20
  6. 12
  7. 3
  8. 5
  9. 11
  10. 10
  11. 19
  12. 35
  13. 5
  14. 6
  15. 9
  16. 42
  17. 36
  18. 11
  19. 11
  20. 13
  21. 16
  22. 22
  23. 37
  24. 12
  25. 23
  26. 15
  27. 12
  28. 22
  29. 18
  30. 12
  31. 28
  32. 13
  33. 9
  34. 13
  35. 23
  36. 10
  37. 25
  38. 18
  39. 24
  40. 6

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