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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 2 · 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 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 18 (b) 22 (c) 21 (d) 20
  2. 2.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 10
  3. 3.What is the mean of 18, 13, 17 and 4? (a) 12 (b) 14 (c) 13 (d) 15
  4. 4.What is the mode of 13, 13, 5, 16, 13, 5 and 3? (a) 13 (b) 16 (c) 5 (d) 3
  5. 5.What is the mean of 20, 6, 2, 10 and 7? (a) 8 (b) 10 (c) 9 (d) 11
  6. 6.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 31 (b) 40 (c) 30 (d) 26
  7. 7.What is the mean of 5, 10, 5, 20, 9 and 17? (a) 10 (b) 12 (c) 13 (d) 11
  8. 8.What is the mean of 11, 10, 9, 7, 18 and 17? (a) 13 (b) 11 (c) 12 (d) 14
  9. 9.What is the mode of 16, 9, 3, 16, 6, 3 and 3? (a) 3 (b) 6 (c) 9 (d) 16
  10. 10.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 28 (b) 24 (c) 38 (d) 29
  11. 11.What is the mode of 10, 6, 14, 17, 17, 10 and 17? (a) 14 (b) 17 (c) 10 (d) 6
  12. 12.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 24 (b) 10 (c) 15 (d) 14
  13. 13.What is the mean of 6, 5, 15, 9 and 15? (a) 10 (b) 9 (c) 12 (d) 11
  14. 14.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 25 (c) 21 (d) 23
  15. 15.What is the mean of 3, 13, 15, 17 and 12? (a) 10 (b) 12 (c) 15 (d) 13
  16. 16.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 11
  17. 17.The mean of 9 numbers is 39. When the number 9 is added to them, what is the new mean? (a) 37 (b) 39 (c) 24 (d) 36
  18. 18.What is the median of 13, 30, 36, 7 and 19? (a) 30 (b) 19 (c) 36 (d) 21
  19. 19.What is the mean of 18, 16, 2 and 12? (a) 11 (b) 16 (c) 13 (d) 12
  20. 20.What is the median of 13, 4, 2, 8 and 34? (a) 2 (b) 13 (c) 4 (d) 8
  21. 21.What is the mean of 19, 19, 15 and 19? (a) 19 (b) 18 (c) 17 (d) 24
  22. 22.What is the median of 38, 16, 15, 8 and 27? (a) 27 (b) 17 (c) 15 (d) 16
  23. 23.What is the mean of 4, 14, 17, 10, 4 and 23? (a) 13 (b) 14 (c) 12 (d) 11
  24. 24.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 26 (b) 21 (c) 17 (d) 20
  25. 25.What is the mode of 10, 10, 19, 5, 9, 10 and 19? (a) 9 (b) 10 (c) 19 (d) 5
  26. 26.The mean of 5 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 24 (b) 15 (c) 23 (d) 27
  27. 27.What is the mode of 17, 1, 5, 5, 17, 6 and 5? (a) 6 (b) 1 (c) 17 (d) 5
  28. 28.What is the median of 1, 32, 22, 29 and 8? (a) 23 (b) 29 (c) 22 (d) 8
  29. 29.What is the mode of 10, 20, 17, 20, 10, 12 and 10? (a) 20 (b) 10 (c) 12 (d) 17
  30. 30.What is the median of 32, 18, 23, 39, 37, 9 and 25? (a) 25 (b) 39 (c) 32 (d) 23
  31. 31.What is the mean of 16, 20, 5, 12 and 12? (a) 12 (b) 15 (c) 14 (d) 13
  32. 32.What is the mean of 3, 15, 14, 4, 8 and 16? (a) 10 (b) 12 (c) 11 (d) 9
  33. 33.What is the mean of 8, 20, 20 and 4? (a) 13 (b) 15 (c) 12 (d) 14
  34. 34.What is the mode of 2, 11, 16, 16, 16, 10 and 2? (a) 2 (b) 11 (c) 10 (d) 16
  35. 35.What is the mean of 20, 13, 12 and 11? (a) 13 (b) 14 (c) 15 (d) 16
  36. 36.What is the median of 21, 30, 39, 8, 16, 20 and 17? (a) 17 (b) 21 (c) 8 (d) 20
  37. 37.What is the mean of 3, 18, 12, 11 and 21? (a) 12 (b) 15 (c) 14 (d) 13
  38. 38.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 12 (b) 17 (c) 20 (d) 16
  39. 39.What is the median of 40, 25, 35, 18 and 39? (a) 36 (b) 35 (c) 39 (d) 25
  40. 40.What is the mean of 14, 3, 16, 11, 19 and 9? (a) 14 (b) 12 (c) 11 (d) 13

Answer key

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

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