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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 726 · 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 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 15 (b) 13 (c) 14 (d) 16
  2. 2.What is the mean of 7, 15, 6 and 16? (a) 11 (b) 13 (c) 12 (d) 10
  3. 3.The mean of 3 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 31 (b) 28 (c) 27 (d) 23
  4. 4.What is the mode of 18, 19, 15, 18, 1, 19 and 19? (a) 15 (b) 1 (c) 18 (d) 19
  5. 5.What is the median of 27, 24, 38, 17, 2, 35 and 32? (a) 27 (b) 32 (c) 25 (d) 17
  6. 6.What is the mean of 16, 17, 20 and 7? (a) 12 (b) 16 (c) 20 (d) 15
  7. 7.The mean of 3 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  8. 8.What is the median of 21, 11, 8, 37, 2, 4 and 13? (a) 8 (b) 13 (c) 11 (d) 37
  9. 9.What is the mean of 5, 8, 17 and 10? (a) 8 (b) 10 (c) 11 (d) 9
  10. 10.The mean of 6 numbers is 29. When the number 22 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 27
  11. 11.What is the mean of 6, 13, 7 and 18? (a) 11 (b) 13 (c) 10 (d) 12
  12. 12.The mean of 7 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 40
  13. 13.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
  14. 14.What is the mode of 20, 20, 1, 18, 1, 1 and 7? (a) 1 (b) 7 (c) 18 (d) 20
  15. 15.The mean of 6 numbers is 29. When the number 50 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 29
  16. 16.What is the median of 14, 1, 21, 17, 16, 37 and 13? (a) 17 (b) 16 (c) 14 (d) 15
  17. 17.What is the mean of 4, 19, 13 and 12? (a) 13 (b) 12 (c) 16 (d) 11
  18. 18.What is the mean of 5, 2, 2, 10 and 11? (a) 8 (b) 6 (c) 7 (d) 5
  19. 19.What is the mode of 14, 12, 4, 4, 1, 4 and 14? (a) 1 (b) 4 (c) 12 (d) 14
  20. 20.What is the mean of 17, 5, 16 and 18? (a) 14 (b) 13 (c) 15 (d) 16
  21. 21.What is the mode of 18, 15, 4, 15, 7, 7 and 7? (a) 7 (b) 18 (c) 15 (d) 4
  22. 22.What is the median of 10, 28, 1, 40, 2, 7 and 34? (a) 10 (b) 7 (c) 40 (d) 28
  23. 23.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 16 (b) 12 (c) 14 (d) 15
  24. 24.What is the mode of 13, 1, 3, 1, 13, 10 and 1? (a) 10 (b) 13 (c) 3 (d) 1
  25. 25.What is the mode of 17, 1, 1, 9, 12, 1 and 9? (a) 12 (b) 17 (c) 1 (d) 9
  26. 26.What is the mean of 5, 4, 3 and 4? (a) 5 (b) 3 (c) 6 (d) 4
  27. 27.What is the mean of 18, 5, 9 and 20? (a) 15 (b) 14 (c) 12 (d) 13
  28. 28.What is the mode of 13, 13, 12, 4, 20, 12 and 12? (a) 12 (b) 13 (c) 20 (d) 4
  29. 29.What is the mode of 16, 2, 2, 11, 16, 8 and 2? (a) 8 (b) 11 (c) 16 (d) 2
  30. 30.What is the median of 35, 21, 25, 24 and 2? (a) 25 (b) 21 (c) 24 (d) 23
  31. 31.The mean of 4 numbers is 30. When the number 15 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 30
  32. 32.What is the mean of 3, 6, 10, 4, 10 and 3? (a) 6 (b) 5 (c) 7 (d) 8
  33. 33.What is the mode of 15, 20, 10, 2, 2, 2 and 20? (a) 2 (b) 20 (c) 15 (d) 10
  34. 34.What is the mean of 7, 12, 3 and 6? (a) 8 (b) 9 (c) 7 (d) 6
  35. 35.What is the median of 9, 21, 37, 28 and 33? (a) 21 (b) 28 (c) 33 (d) 37
  36. 36.What is the mean of 8, 2, 2 and 12? (a) 6 (b) 5 (c) 7 (d) 8
  37. 37.What is the mean of 18, 15, 18, 13 and 16? (a) 17 (b) 20 (c) 16 (d) 15
  38. 38.What is the mean of 4, 4, 10 and 10? (a) 9 (b) 8 (c) 6 (d) 7
  39. 39.What is the mean of 15, 16, 12, 9, 16 and 4? (a) 11 (b) 12 (c) 13 (d) 14
  40. 40.What is the mean of 20, 9, 16 and 15? (a) 20 (b) 15 (c) 16 (d) 12

Answer key

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

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