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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 690 · 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 5, 21, 33, 8 and 7? (a) 7 (b) 8 (c) 21 (d) 33
  2. 2.What is the mode of 1, 6, 6, 10, 6, 15 and 1? (a) 1 (b) 15 (c) 6 (d) 10
  3. 3.What is the mode of 13, 4, 4, 13, 4, 6 and 11? (a) 13 (b) 4 (c) 6 (d) 11
  4. 4.What is the mode of 12, 12, 18, 18, 5, 13 and 12? (a) 18 (b) 5 (c) 12 (d) 13
  5. 5.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 45 (b) 42 (c) 39 (d) 41
  6. 6.What is the median of 20, 37, 15, 1 and 40? (a) 37 (b) 20 (c) 15 (d) 21
  7. 7.The mean of 7 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 20 (c) 23 (d) 22
  8. 8.The mean of 6 numbers is 39. When the number 18 is added to them, what is the new mean? (a) 39 (b) 37 (c) 36 (d) 35
  9. 9.The mean of 7 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 40 (b) 36 (c) 39 (d) 38
  10. 10.What is the mean of 2, 18, 17, 6, 9 and 20? (a) 13 (b) 14 (c) 11 (d) 12
  11. 11.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 16
  12. 12.What is the mode of 14, 4, 14, 2, 14, 11 and 4? (a) 2 (b) 14 (c) 11 (d) 4
  13. 13.What is the median of 36, 11, 4, 1 and 10? (a) 11 (b) 9 (c) 4 (d) 10
  14. 14.What is the mode of 18, 14, 11, 11, 14, 11 and 1? (a) 18 (b) 14 (c) 1 (d) 11
  15. 15.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 24 (b) 20 (c) 23 (d) 22
  16. 16.What is the mode of 18, 11, 11, 18, 20, 18 and 16? (a) 20 (b) 11 (c) 18 (d) 16
  17. 17.The mean of 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 25 (b) 34 (c) 32 (d) 33
  18. 18.What is the median of 27, 40, 1, 14 and 12? (a) 1 (b) 12 (c) 27 (d) 14
  19. 19.What is the median of 27, 40, 22, 2, 10, 23 and 5? (a) 2 (b) 23 (c) 10 (d) 22
  20. 20.What is the mean of 3, 19, 11, 6, 16 and 11? (a) 13 (b) 10 (c) 12 (d) 11
  21. 21.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 31 (b) 27 (c) 23 (d) 28
  22. 22.What is the mode of 3, 12, 10, 12, 11, 10 and 12? (a) 11 (b) 3 (c) 12 (d) 10
  23. 23.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) 10 (d) 12
  24. 24.What is the mode of 15, 17, 14, 17, 15, 15 and 13? (a) 13 (b) 15 (c) 14 (d) 17
  25. 25.What is the mean of 4, 11, 11 and 6? (a) 7 (b) 9 (c) 8 (d) 10
  26. 26.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 17
  27. 27.What is the mean of 16, 10, 20 and 18? (a) 18 (b) 15 (c) 16 (d) 17
  28. 28.What is the median of 27, 19, 29, 10 and 35? (a) 19 (b) 24 (c) 27 (d) 29
  29. 29.What is the mode of 20, 1, 1, 7, 20, 18 and 20? (a) 1 (b) 18 (c) 7 (d) 20
  30. 30.What is the median of 24, 4, 29, 3, 33, 36 and 1? (a) 24 (b) 4 (c) 3 (d) 29
  31. 31.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 22
  32. 32.What is the median of 38, 5, 12, 25, 16, 22 and 18? (a) 25 (b) 18 (c) 16 (d) 22
  33. 33.What is the mean of 20, 18, 6, 6 and 20? (a) 13 (b) 16 (c) 15 (d) 14
  34. 34.What is the mode of 14, 14, 11, 11, 20, 11 and 6? (a) 20 (b) 6 (c) 14 (d) 11
  35. 35.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
  36. 36.What is the mean of 20, 14, 3, 10 and 13? (a) 13 (b) 12 (c) 15 (d) 10
  37. 37.What is the mean of 17, 16, 11 and 8? (a) 12 (b) 14 (c) 15 (d) 13
  38. 38.What is the mean of 14, 5, 6 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  39. 39.What is the median of 5, 19, 1, 11, 35, 17 and 15? (a) 15 (b) 11 (c) 17 (d) 16
  40. 40.What is the mean of 13, 8, 14 and 9? (a) 12 (b) 10 (c) 11 (d) 13

Answer key

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

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