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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 221 · 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 7, 2, 19 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  2. 2.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 30 (c) 21 (d) 29
  3. 3.What is the median of 15, 29, 14, 6 and 5? (a) 6 (b) 13 (c) 15 (d) 14
  4. 4.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 18
  5. 5.What is the mean of 13, 6, 9, 6, 15 and 11? (a) 10 (b) 11 (c) 9 (d) 12
  6. 6.What is the mode of 6, 15, 15, 12, 5, 15 and 12? (a) 6 (b) 15 (c) 12 (d) 5
  7. 7.What is the median of 8, 12, 5, 32 and 27? (a) 5 (b) 27 (c) 8 (d) 12
  8. 8.What is the median of 5, 15, 8, 31, 28, 33 and 19? (a) 31 (b) 19 (c) 15 (d) 28
  9. 9.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 20 (b) 28 (c) 27 (d) 29
  10. 10.What is the mode of 6, 19, 8, 8, 8, 5 and 5? (a) 19 (b) 5 (c) 6 (d) 8
  11. 11.What is the mean of 13, 8, 4 and 15? (a) 8 (b) 11 (c) 10 (d) 9
  12. 12.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 34 (b) 31 (c) 37 (d) 35
  13. 13.What is the mode of 20, 20, 3, 1, 2, 2 and 2? (a) 1 (b) 20 (c) 2 (d) 3
  14. 14.What is the mean of 20, 16, 4, 7 and 13? (a) 13 (b) 12 (c) 10 (d) 15
  15. 15.What is the mean of 5, 12, 11 and 20? (a) 12 (b) 16 (c) 13 (d) 11
  16. 16.What is the mode of 1, 7, 7, 5, 10, 10 and 7? (a) 7 (b) 10 (c) 5 (d) 1
  17. 17.What is the median of 11, 24, 17, 16, 4, 1 and 2? (a) 4 (b) 12 (c) 16 (d) 11
  18. 18.What is the mean of 10, 19, 13, 17, 11 and 14? (a) 15 (b) 13 (c) 12 (d) 14
  19. 19.What is the median of 12, 9, 21, 5, 18, 40 and 11? (a) 18 (b) 5 (c) 12 (d) 11
  20. 20.What is the mode of 12, 8, 8, 12, 4, 12 and 16? (a) 12 (b) 8 (c) 16 (d) 4
  21. 21.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 44 (b) 37 (c) 36 (d) 32
  22. 22.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 28 (b) 26 (c) 29 (d) 27
  23. 23.What is the mean of 5, 9, 19 and 7? (a) 10 (b) 8 (c) 11 (d) 9
  24. 24.What is the median of 35, 25, 40, 28, 31, 1 and 5? (a) 25 (b) 29 (c) 31 (d) 28
  25. 25.The mean of 6 numbers is 38. When the number 45 is added to them, what is the new mean? (a) 41 (b) 38 (c) 39 (d) 40
  26. 26.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 27 (b) 24 (c) 23 (d) 25
  27. 27.What is the median of 18, 13, 39, 36, 5, 2 and 40? (a) 19 (b) 18 (c) 36 (d) 13
  28. 28.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 12 (b) 14 (c) 17 (d) 13
  29. 29.What is the median of 22, 1, 6, 19 and 17? (a) 6 (b) 17 (c) 19 (d) 13
  30. 30.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 10 (b) 13 (c) 11 (d) 12
  31. 31.What is the mean of 10, 4, 17, 15, 15 and 17? (a) 12 (b) 14 (c) 13 (d) 15
  32. 32.What is the median of 36, 22, 1, 5, 31, 12 and 20? (a) 5 (b) 12 (c) 20 (d) 22
  33. 33.What is the mode of 12, 5, 19, 7, 19, 7 and 7? (a) 12 (b) 5 (c) 7 (d) 19
  34. 34.What is the mode of 6, 16, 3, 6, 5, 5 and 6? (a) 5 (b) 16 (c) 3 (d) 6
  35. 35.The mean of 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 14 (c) 20 (d) 21
  36. 36.What is the median of 4, 23, 21, 38 and 7? (a) 22 (b) 7 (c) 23 (d) 21
  37. 37.What is the median of 4, 1, 21, 19 and 10? (a) 21 (b) 19 (c) 11 (d) 10
  38. 38.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 39
  39. 39.What is the median of 7, 34, 3, 37, 9, 17 and 27? (a) 37 (b) 9 (c) 27 (d) 17
  40. 40.What is the mode of 4, 6, 12, 3, 4, 3 and 3? (a) 3 (b) 6 (c) 12 (d) 4

Answer key

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

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