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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 787 · 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 median of 32, 26, 2, 7, 10, 12 and 25? (a) 7 (b) 10 (c) 25 (d) 12
  2. 2.What is the mode of 18, 6, 9, 2, 18, 9 and 18? (a) 2 (b) 18 (c) 9 (d) 6
  3. 3.What is the median of 17, 4, 1, 18 and 27? (a) 4 (b) 18 (c) 1 (d) 17
  4. 4.What is the mode of 6, 9, 6, 9, 6, 5 and 4? (a) 6 (b) 9 (c) 5 (d) 4
  5. 5.What is the median of 29, 39, 4, 10, 13, 2 and 16? (a) 13 (b) 14 (c) 16 (d) 10
  6. 6.What is the median of 4, 10, 23, 28, 16, 39 and 27? (a) 27 (b) 23 (c) 28 (d) 21
  7. 7.What is the mode of 9, 20, 6, 10, 6, 20 and 6? (a) 20 (b) 9 (c) 6 (d) 10
  8. 8.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 45 (b) 33 (c) 34 (d) 29
  9. 9.What is the mean of 6, 11, 12, 4, 13 and 2? (a) 9 (b) 7 (c) 8 (d) 10
  10. 10.What is the mode of 14, 8, 13, 14, 14, 10 and 8? (a) 10 (b) 14 (c) 13 (d) 8
  11. 11.The mean of 7 numbers is 32. When the number 64 is added to them, what is the new mean? (a) 48 (b) 32 (c) 37 (d) 36
  12. 12.What is the mean of 3, 14, 18 and 17? (a) 13 (b) 14 (c) 12 (d) 15
  13. 13.What is the median of 1, 19, 7, 2, 5, 6 and 26? (a) 2 (b) 6 (c) 5 (d) 7
  14. 14.What is the mode of 12, 18, 2, 14, 18, 18 and 12? (a) 18 (b) 2 (c) 14 (d) 12
  15. 15.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  16. 16.What is the mean of 19, 18, 8 and 15? (a) 12 (b) 15 (c) 16 (d) 20
  17. 17.What is the mode of 8, 16, 10, 8, 8, 6 and 10? (a) 8 (b) 6 (c) 16 (d) 10
  18. 18.The mean of 4 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 23 (b) 17 (c) 27 (d) 24
  19. 19.What is the mode of 19, 11, 11, 8, 16, 8 and 11? (a) 16 (b) 11 (c) 8 (d) 19
  20. 20.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 25 (b) 14 (c) 10 (d) 13
  21. 21.What is the median of 28, 21, 11, 8 and 38? (a) 22 (b) 21 (c) 28 (d) 11
  22. 22.What is the mean of 4, 4, 14, 6, 19 and 19? (a) 11 (b) 10 (c) 13 (d) 12
  23. 23.What is the median of 3, 33, 29, 24 and 8? (a) 24 (b) 29 (c) 25 (d) 8
  24. 24.What is the mode of 6, 6, 3, 7, 7, 7 and 14? (a) 3 (b) 7 (c) 14 (d) 6
  25. 25.What is the mode of 12, 4, 13, 13, 12, 2 and 13? (a) 2 (b) 4 (c) 12 (d) 13
  26. 26.What is the mean of 9, 17, 15, 7 and 7? (a) 11 (b) 13 (c) 12 (d) 10
  27. 27.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  28. 28.What is the median of 17, 8, 12, 14 and 40? (a) 15 (b) 12 (c) 17 (d) 14
  29. 29.The mean of 8 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 21 (b) 29 (c) 28 (d) 30
  30. 30.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  31. 31.What is the median of 24, 32, 27, 10, 40, 7 and 13? (a) 10 (b) 24 (c) 27 (d) 13
  32. 32.What is the median of 3, 17, 1, 22 and 9? (a) 1 (b) 3 (c) 9 (d) 17
  33. 33.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 20 (b) 19 (c) 18 (d) 17
  34. 34.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 18 (b) 23 (c) 24 (d) 22
  35. 35.What is the mean of 20, 6, 2 and 12? (a) 8 (b) 10 (c) 9 (d) 11
  36. 36.What is the median of 11, 32, 39, 21, 10, 29 and 2? (a) 11 (b) 29 (c) 22 (d) 21
  37. 37.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  38. 38.What is the mode of 3, 19, 12, 19, 3, 19 and 10? (a) 12 (b) 19 (c) 3 (d) 10
  39. 39.What is the mean of 12, 16, 17, 17, 19 and 3? (a) 13 (b) 14 (c) 15 (d) 12
  40. 40.The mean of 9 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 45 (b) 41 (c) 42 (d) 40

Answer key

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

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