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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 868 · 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 17, 11, 4, 10, 15 and 15? (a) 14 (b) 11 (c) 12 (d) 13
  2. 2.The mean of 3 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 22
  3. 3.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 23
  4. 4.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 29
  5. 5.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 26
  6. 6.The mean of 6 numbers is 29. When the number 50 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 33
  7. 7.What is the median of 3, 12, 29, 4 and 20? (a) 12 (b) 20 (c) 4 (d) 29
  8. 8.What is the mean of 11, 11, 7 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  9. 9.What is the median of 28, 23, 18, 1, 31, 30 and 8? (a) 23 (b) 18 (c) 1 (d) 28
  10. 10.What is the mean of 11, 9, 8, 16 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  11. 11.What is the median of 22, 13, 18, 39 and 35? (a) 23 (b) 35 (c) 18 (d) 22
  12. 12.The mean of 6 numbers is 19. When the number 5 is added to them, what is the new mean? (a) 17 (b) 18 (c) 12 (d) 19
  13. 13.What is the mode of 3, 3, 5, 3, 2, 8 and 8? (a) 8 (b) 5 (c) 3 (d) 2
  14. 14.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 16 (b) 17 (c) 13 (d) 18
  15. 15.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 15
  16. 16.What is the mode of 10, 14, 10, 3, 6, 10 and 14? (a) 6 (b) 10 (c) 3 (d) 14
  17. 17.What is the mean of 2, 9, 16, 14 and 9? (a) 11 (b) 12 (c) 9 (d) 10
  18. 18.What is the mode of 9, 12, 5, 5, 1, 12 and 12? (a) 1 (b) 5 (c) 9 (d) 12
  19. 19.What is the mode of 8, 15, 19, 19, 15, 19 and 9? (a) 15 (b) 9 (c) 8 (d) 19
  20. 20.What is the mode of 10, 20, 7, 5, 7, 5 and 7? (a) 20 (b) 5 (c) 7 (d) 10
  21. 21.The mean of 3 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 48 (b) 45 (c) 40 (d) 44
  22. 22.What is the mode of 6, 19, 16, 12, 6, 6 and 16? (a) 12 (b) 16 (c) 19 (d) 6
  23. 23.What is the mode of 12, 1, 18, 1, 15, 1 and 18? (a) 18 (b) 12 (c) 1 (d) 15
  24. 24.What is the mode of 20, 11, 6, 20, 12, 12 and 20? (a) 6 (b) 11 (c) 20 (d) 12
  25. 25.The mean of 6 numbers is 33. When the number 61 is added to them, what is the new mean? (a) 37 (b) 33 (c) 47 (d) 38
  26. 26.What is the mode of 1, 9, 11, 7, 11, 1 and 1? (a) 9 (b) 1 (c) 7 (d) 11
  27. 27.What is the median of 37, 33, 12, 40, 34, 39 and 2? (a) 37 (b) 40 (c) 34 (d) 33
  28. 28.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 20
  29. 29.What is the median of 29, 22, 10, 20, 6, 15 and 38? (a) 22 (b) 15 (c) 20 (d) 21
  30. 30.What is the median of 39, 1, 40, 6, 35, 34 and 28? (a) 28 (b) 35 (c) 6 (d) 34
  31. 31.What is the median of 35, 5, 26, 3, 30, 13 and 31? (a) 30 (b) 3 (c) 13 (d) 26
  32. 32.What is the median of 29, 37, 19, 4, 32, 21 and 1? (a) 21 (b) 4 (c) 19 (d) 29
  33. 33.What is the mode of 12, 14, 6, 6, 7, 6 and 7? (a) 14 (b) 6 (c) 7 (d) 12
  34. 34.What is the median of 28, 16, 4, 3, 12, 40 and 27? (a) 27 (b) 16 (c) 3 (d) 12
  35. 35.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 29 (b) 41 (c) 30 (d) 25
  36. 36.What is the median of 27, 10, 13, 26 and 29? (a) 21 (b) 13 (c) 26 (d) 27
  37. 37.What is the mode of 14, 11, 16, 16, 14, 16 and 4? (a) 16 (b) 11 (c) 14 (d) 4
  38. 38.What is the mean of 3, 10, 3 and 12? (a) 6 (b) 7 (c) 9 (d) 8
  39. 39.What is the mean of 9, 7, 15 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  40. 40.What is the mean of 14, 2, 10, 7, 15 and 18? (a) 13 (b) 12 (c) 10 (d) 11

Answer key

  1. 12
  2. 24
  3. 21
  4. 28
  5. 27
  6. 32
  7. 12
  8. 11
  9. 23
  10. 11
  11. 22
  12. 17
  13. 3
  14. 17
  15. 15
  16. 10
  17. 10
  18. 12
  19. 19
  20. 7
  21. 44
  22. 6
  23. 1
  24. 20
  25. 37
  26. 1
  27. 34
  28. 32
  29. 20
  30. 34
  31. 26
  32. 21
  33. 6
  34. 16
  35. 29
  36. 26
  37. 16
  38. 7
  39. 11
  40. 11

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