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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 288 · 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 17, 6, 18, 17, 9, 9 and 17? (a) 9 (b) 18 (c) 17 (d) 6
  2. 2.What is the mean of 11, 4, 14, 3, 10 and 12? (a) 9 (b) 11 (c) 8 (d) 10
  3. 3.What is the mean of 8, 5, 14, 8, 11 and 20? (a) 10 (b) 13 (c) 11 (d) 12
  4. 4.The mean of 7 numbers is 35. When the number 67 is added to them, what is the new mean? (a) 39 (b) 40 (c) 35 (d) 51
  5. 5.What is the mean of 14, 14, 17 and 11? (a) 13 (b) 14 (c) 16 (d) 15
  6. 6.What is the mean of 7, 8, 18, 18 and 9? (a) 12 (b) 13 (c) 10 (d) 15
  7. 7.What is the mean of 12, 20, 5, 11, 19 and 11? (a) 14 (b) 12 (c) 15 (d) 13
  8. 8.What is the mode of 15, 20, 3, 15, 12, 15 and 3? (a) 15 (b) 12 (c) 20 (d) 3
  9. 9.The mean of 7 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 12
  10. 10.What is the median of 10, 36, 3, 8, 40, 24 and 21? (a) 10 (b) 21 (c) 24 (d) 8
  11. 11.What is the mean of 12, 15, 11 and 2? (a) 8 (b) 10 (c) 11 (d) 9
  12. 12.What is the mean of 7, 2, 20, 9 and 12? (a) 11 (b) 9 (c) 10 (d) 12
  13. 13.What is the mean of 20, 14, 17, 14, 2 and 11? (a) 14 (b) 13 (c) 12 (d) 15
  14. 14.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 28 (b) 37 (c) 31 (d) 30
  15. 15.The mean of 6 numbers is 31. When the number 17 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 24
  16. 16.The mean of 6 numbers is 31. When the number 3 is added to them, what is the new mean? (a) 31 (b) 27 (c) 28 (d) 17
  17. 17.What is the median of 27, 7, 13, 8 and 6? (a) 13 (b) 7 (c) 8 (d) 9
  18. 18.The mean of 4 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 14 (b) 11 (c) 16 (d) 13
  19. 19.What is the median of 23, 25, 38, 3 and 6? (a) 19 (b) 38 (c) 23 (d) 25
  20. 20.The mean of 3 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 27 (b) 19 (c) 23 (d) 24
  21. 21.What is the mean of 6, 5, 13 and 4? (a) 6 (b) 7 (c) 9 (d) 8
  22. 22.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 45 (b) 31 (c) 35 (d) 36
  23. 23.What is the median of 4, 12, 39, 26, 7, 32 and 22? (a) 12 (b) 22 (c) 23 (d) 26
  24. 24.The mean of 6 numbers is 21. When the number 42 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 21
  25. 25.What is the mode of 3, 6, 3, 3, 15, 6 and 13? (a) 3 (b) 6 (c) 15 (d) 13
  26. 26.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 29 (b) 41 (c) 34 (d) 33
  27. 27.What is the median of 33, 17, 25, 8 and 4? (a) 8 (b) 25 (c) 18 (d) 17
  28. 28.What is the mode of 5, 2, 5, 15, 2, 5 and 6? (a) 15 (b) 2 (c) 6 (d) 5
  29. 29.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 35 (b) 23 (c) 32 (d) 33
  30. 30.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 17 (b) 14 (c) 13 (d) 15
  31. 31.What is the median of 7, 20, 13, 34, 23, 11 and 37? (a) 34 (b) 13 (c) 23 (d) 20
  32. 32.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  33. 33.What is the mean of 2, 10, 3, 12, 14 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  34. 34.What is the mean of 6, 20, 4, 3, 12 and 15? (a) 11 (b) 9 (c) 10 (d) 12
  35. 35.The mean of 5 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 25 (b) 27 (c) 18 (d) 24
  36. 36.What is the mean of 12, 3, 7 and 10? (a) 9 (b) 10 (c) 7 (d) 8
  37. 37.What is the median of 3, 15, 20, 40 and 27? (a) 27 (b) 21 (c) 15 (d) 20
  38. 38.What is the mode of 11, 5, 1, 20, 11, 1 and 11? (a) 1 (b) 11 (c) 5 (d) 20
  39. 39.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 39 (b) 36 (c) 37 (d) 35
  40. 40.What is the median of 22, 9, 1, 38 and 8? (a) 22 (b) 8 (c) 9 (d) 1

Answer key

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

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