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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 569 · 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 mode of 8, 15, 14, 15, 3, 3 and 3? (a) 14 (b) 3 (c) 15 (d) 8
  2. 2.What is the mode of 1, 2, 12, 16, 1, 1 and 16? (a) 1 (b) 2 (c) 16 (d) 12
  3. 3.What is the mode of 4, 17, 17, 17, 4, 1 and 8? (a) 8 (b) 1 (c) 17 (d) 4
  4. 4.The mean of 8 numbers is 40. When the number 13 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 37
  5. 5.What is the mean of 20, 14, 16, 7, 10 and 17? (a) 12 (b) 14 (c) 13 (d) 15
  6. 6.What is the mean of 11, 10, 2, 20, 17 and 12? (a) 14 (b) 13 (c) 11 (d) 12
  7. 7.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 25 (c) 31 (d) 32
  8. 8.What is the mean of 7, 18, 16, 7, 5 and 7? (a) 11 (b) 10 (c) 12 (d) 9
  9. 9.What is the mean of 11, 7, 12 and 22? (a) 15 (b) 14 (c) 12 (d) 13
  10. 10.What is the mode of 14, 9, 9, 16, 16, 9 and 4? (a) 4 (b) 16 (c) 14 (d) 9
  11. 11.The mean of 8 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 20 (b) 13 (c) 14 (d) 11
  12. 12.What is the mean of 18, 4, 9, 15, 19 and 7? (a) 13 (b) 12 (c) 14 (d) 11
  13. 13.What is the median of 29, 40, 13, 20 and 24? (a) 29 (b) 13 (c) 20 (d) 24
  14. 14.What is the mean of 5, 16, 14, 16, 15 and 6? (a) 13 (b) 14 (c) 11 (d) 12
  15. 15.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 37
  16. 16.The mean of 6 numbers is 37. When the number 65 is added to them, what is the new mean? (a) 41 (b) 51 (c) 37 (d) 42
  17. 17.What is the mean of 11, 7, 20, 7, 6 and 21? (a) 13 (b) 11 (c) 14 (d) 12
  18. 18.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 28 (b) 20 (c) 24 (d) 25
  19. 19.What is the median of 32, 31, 6, 26, 11, 25 and 39? (a) 31 (b) 26 (c) 25 (d) 27
  20. 20.What is the mean of 11, 8, 9 and 12? (a) 10 (b) 11 (c) 9 (d) 8
  21. 21.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 14 (b) 10 (c) 11 (d) 12
  22. 22.The mean of 7 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 32 (b) 29 (c) 33 (d) 41
  23. 23.What is the mode of 18, 11, 8, 15, 15, 18 and 15? (a) 15 (b) 18 (c) 8 (d) 11
  24. 24.The mean of 7 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 25
  25. 25.What is the mean of 11, 15, 6, 7 and 16? (a) 13 (b) 11 (c) 12 (d) 10
  26. 26.What is the mean of 15, 13, 20, 4 and 3? (a) 12 (b) 10 (c) 13 (d) 11
  27. 27.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 37
  28. 28.What is the mean of 9, 7, 16, 12, 5 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  29. 29.What is the mode of 5, 2, 19, 2, 19, 4 and 2? (a) 19 (b) 5 (c) 2 (d) 4
  30. 30.What is the mean of 12, 20, 13, 16 and 14? (a) 15 (b) 17 (c) 16 (d) 14
  31. 31.What is the mean of 4, 2, 18, 14, 14 and 8? (a) 11 (b) 12 (c) 9 (d) 10
  32. 32.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 12
  33. 33.What is the median of 22, 10, 13, 8, 35, 24 and 7? (a) 22 (b) 8 (c) 17 (d) 13
  34. 34.What is the mean of 7, 10, 9, 16 and 23? (a) 13 (b) 12 (c) 14 (d) 15
  35. 35.What is the median of 21, 32, 28, 27 and 12? (a) 21 (b) 28 (c) 27 (d) 24
  36. 36.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 19 (b) 16 (c) 15 (d) 17
  37. 37.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 27
  38. 38.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 24 (b) 30 (c) 28 (d) 29
  39. 39.What is the mode of 10, 20, 20, 13, 5, 20 and 13? (a) 5 (b) 13 (c) 20 (d) 10
  40. 40.The mean of 4 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 30 (b) 32 (c) 27 (d) 29

Answer key

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

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