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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 720 · 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, 5, 20, 11, 17 and 20? (a) 15 (b) 16 (c) 18 (d) 14
  2. 2.What is the mode of 1, 1, 10, 1, 12, 12 and 20? (a) 20 (b) 10 (c) 1 (d) 12
  3. 3.The mean of 6 numbers is 29. When the number 1 is added to them, what is the new mean? (a) 29 (b) 25 (c) 26 (d) 15
  4. 4.What is the mean of 3, 5, 19, 9, 18 and 12? (a) 13 (b) 10 (c) 11 (d) 12
  5. 5.What is the mean of 7, 12, 19, 12 and 5? (a) 13 (b) 10 (c) 11 (d) 12
  6. 6.What is the mode of 19, 16, 4, 19, 4, 5 and 19? (a) 4 (b) 19 (c) 5 (d) 16
  7. 7.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 30 (b) 27 (c) 32 (d) 31
  8. 8.What is the median of 40, 8, 35, 3, 11, 20 and 25? (a) 11 (b) 3 (c) 25 (d) 20
  9. 9.What is the mean of 18, 12, 15 and 3? (a) 13 (b) 16 (c) 12 (d) 11
  10. 10.What is the mode of 8, 13, 13, 10, 8, 8 and 17? (a) 13 (b) 10 (c) 17 (d) 8
  11. 11.What is the mode of 16, 16, 11, 7, 5, 16 and 11? (a) 5 (b) 7 (c) 11 (d) 16
  12. 12.What is the mean of 14, 7, 12 and 19? (a) 14 (b) 15 (c) 13 (d) 12
  13. 13.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 6
  14. 14.What is the mean of 8, 12, 4, 18, 14 and 10? (a) 12 (b) 11 (c) 10 (d) 13
  15. 15.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 22 (b) 23 (c) 25 (d) 24
  16. 16.What is the median of 7, 10, 26, 5 and 3? (a) 5 (b) 10 (c) 7 (d) 26
  17. 17.What is the mode of 1, 17, 13, 1, 13, 13 and 6? (a) 1 (b) 17 (c) 13 (d) 6
  18. 18.What is the median of 29, 39, 38, 5, 20, 8 and 37? (a) 5 (b) 29 (c) 37 (d) 20
  19. 19.What is the median of 21, 26, 15, 34 and 32? (a) 32 (b) 26 (c) 15 (d) 21
  20. 20.What is the mode of 2, 19, 2, 20, 20, 5 and 2? (a) 20 (b) 2 (c) 19 (d) 5
  21. 21.What is the mode of 5, 8, 20, 6, 20, 5 and 20? (a) 6 (b) 8 (c) 5 (d) 20
  22. 22.What is the median of 25, 40, 17, 36 and 38? (a) 36 (b) 25 (c) 38 (d) 17
  23. 23.What is the median of 20, 39, 31, 26, 30, 11 and 32? (a) 26 (b) 30 (c) 27 (d) 31
  24. 24.What is the mode of 12, 8, 5, 5, 6, 6 and 5? (a) 6 (b) 5 (c) 12 (d) 8
  25. 25.What is the mode of 10, 19, 17, 10, 19, 19 and 1? (a) 17 (b) 10 (c) 1 (d) 19
  26. 26.The mean of 9 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 35 (b) 25 (c) 27 (d) 28
  27. 27.The mean of 3 numbers is 39. When the number 43 is added to them, what is the new mean? (a) 39 (b) 42 (c) 41 (d) 40
  28. 28.The mean of 4 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 47 (b) 42 (c) 41 (d) 37
  29. 29.What is the mode of 2, 14, 2, 4, 2, 14 and 13? (a) 2 (b) 4 (c) 13 (d) 14
  30. 30.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 13
  31. 31.What is the mean of 9, 17, 12, 10 and 12? (a) 15 (b) 10 (c) 12 (d) 13
  32. 32.The mean of 9 numbers is 36. When the number 76 is added to them, what is the new mean? (a) 41 (b) 36 (c) 56 (d) 40
  33. 33.What is the mean of 4, 20, 8, 5, 19 and 22? (a) 12 (b) 15 (c) 14 (d) 13
  34. 34.What is the median of 35, 10, 37, 21, 39, 9 and 16? (a) 21 (b) 22 (c) 16 (d) 35
  35. 35.What is the mean of 17, 7, 3, 17, 5 and 17? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 27 (b) 40 (c) 26 (d) 22
  37. 37.What is the mode of 9, 20, 5, 9, 20, 3 and 20? (a) 5 (b) 20 (c) 3 (d) 9
  38. 38.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 25 (b) 22 (c) 26 (d) 28
  39. 39.What is the mean of 8, 18, 12 and 6? (a) 12 (b) 11 (c) 10 (d) 13
  40. 40.What is the mode of 10, 5, 10, 5, 10, 19 and 16? (a) 5 (b) 19 (c) 10 (d) 16

Answer key

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

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