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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 293 · 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.The mean of 6 numbers is 31. When the number 10 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 31
  2. 2.What is the mode of 13, 13, 13, 1, 16, 19 and 1? (a) 19 (b) 13 (c) 1 (d) 16
  3. 3.What is the median of 19, 21, 10, 36 and 31? (a) 19 (b) 10 (c) 31 (d) 21
  4. 4.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 11
  5. 5.The mean of 4 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 42 (b) 47 (c) 41 (d) 37
  6. 6.What is the median of 6, 23, 21, 27, 37, 34 and 5? (a) 21 (b) 24 (c) 23 (d) 27
  7. 7.The mean of 4 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 33 (b) 29 (c) 34 (d) 32
  8. 8.What is the mean of 3, 4, 7, 2 and 19? (a) 9 (b) 8 (c) 7 (d) 6
  9. 9.What is the mean of 13, 10, 8, 18, 16 and 7? (a) 13 (b) 14 (c) 11 (d) 12
  10. 10.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 28 (b) 25 (c) 26 (d) 24
  11. 11.What is the median of 27, 38, 8, 1 and 24? (a) 24 (b) 8 (c) 25 (d) 27
  12. 12.What is the mean of 5, 4, 10, 13 and 13? (a) 10 (b) 9 (c) 8 (d) 11
  13. 13.What is the mean of 6, 14, 6 and 18? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.What is the mode of 18, 9, 18, 9, 18, 15 and 10? (a) 18 (b) 10 (c) 9 (d) 15
  15. 15.What is the mode of 20, 7, 12, 7, 20, 9 and 20? (a) 20 (b) 7 (c) 12 (d) 9
  16. 16.What is the mode of 15, 13, 12, 13, 7, 7 and 7? (a) 13 (b) 15 (c) 12 (d) 7
  17. 17.What is the mean of 11, 16, 3 and 14? (a) 12 (b) 11 (c) 10 (d) 13
  18. 18.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 40 (c) 39 (d) 38
  19. 19.What is the mode of 11, 9, 2, 12, 12, 12 and 11? (a) 9 (b) 12 (c) 2 (d) 11
  20. 20.What is the mean of 17, 18, 13 and 8? (a) 13 (b) 14 (c) 15 (d) 16
  21. 21.What is the median of 10, 13, 27, 20, 30, 1 and 26? (a) 26 (b) 21 (c) 13 (d) 20
  22. 22.The mean of 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 20 (b) 33 (c) 19 (d) 15
  23. 23.What is the mean of 8, 11, 14 and 15? (a) 16 (b) 12 (c) 11 (d) 13
  24. 24.What is the mean of 11, 14, 5, 13 and 12? (a) 13 (b) 11 (c) 10 (d) 12
  25. 25.What is the mean of 6, 2, 18, 16, 4 and 14? (a) 11 (b) 9 (c) 12 (d) 10
  26. 26.What is the median of 11, 37, 17, 28 and 18? (a) 28 (b) 19 (c) 17 (d) 18
  27. 27.What is the mean of 9, 14, 4, 20 and 8? (a) 12 (b) 13 (c) 11 (d) 10
  28. 28.What is the mean of 14, 5, 19, 15 and 7? (a) 15 (b) 10 (c) 13 (d) 12
  29. 29.The mean of 6 numbers is 27. When the number 48 is added to them, what is the new mean? (a) 31 (b) 27 (c) 29 (d) 30
  30. 30.What is the mode of 10, 12, 7, 12, 3, 7 and 7? (a) 12 (b) 3 (c) 7 (d) 10
  31. 31.What is the mode of 11, 17, 2, 2, 17, 2 and 3? (a) 11 (b) 17 (c) 3 (d) 2
  32. 32.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 41 (b) 31 (c) 27 (d) 32
  33. 33.What is the mode of 18, 4, 4, 14, 14, 7 and 14? (a) 4 (b) 14 (c) 18 (d) 7
  34. 34.What is the median of 14, 2, 12, 40 and 34? (a) 15 (b) 12 (c) 14 (d) 34
  35. 35.The mean of 3 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 22 (b) 19 (c) 18 (d) 14
  36. 36.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 39 (b) 31 (c) 36 (d) 35
  37. 37.What is the mean of 10, 18, 8 and 20? (a) 16 (b) 15 (c) 13 (d) 14
  38. 38.What is the mode of 6, 2, 20, 19, 20, 20 and 19? (a) 6 (b) 20 (c) 2 (d) 19
  39. 39.What is the mode of 6, 6, 16, 5, 6, 16 and 17? (a) 17 (b) 5 (c) 6 (d) 16
  40. 40.What is the mean of 5, 10, 19, 16 and 5? (a) 10 (b) 12 (c) 13 (d) 11

Answer key

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

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