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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 778 · 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 8, 35, 2, 28 and 12? (a) 12 (b) 17 (c) 28 (d) 2
  2. 2.What is the median of 4, 21, 16, 3 and 14? (a) 16 (b) 14 (c) 15 (d) 4
  3. 3.What is the mean of 12, 15, 8 and 9? (a) 12 (b) 11 (c) 13 (d) 10
  4. 4.What is the mean of 6, 17, 15 and 14? (a) 13 (b) 14 (c) 12 (d) 15
  5. 5.What is the mode of 7, 13, 5, 13, 18, 7 and 7? (a) 18 (b) 7 (c) 5 (d) 13
  6. 6.What is the mean of 12, 18, 20, 4 and 6? (a) 10 (b) 15 (c) 13 (d) 12
  7. 7.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 10 (b) 13 (c) 12 (d) 11
  8. 8.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 15
  9. 9.The mean of 6 numbers is 22. When the number 43 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 22
  10. 10.What is the mean of 15, 14, 12 and 19? (a) 20 (b) 15 (c) 16 (d) 12
  11. 11.The mean of 8 numbers is 39. When the number 3 is added to them, what is the new mean? (a) 35 (b) 36 (c) 39 (d) 21
  12. 12.What is the mean of 15, 3, 9 and 13? (a) 11 (b) 10 (c) 8 (d) 9
  13. 13.What is the mode of 19, 5, 17, 19, 17, 17 and 8? (a) 19 (b) 8 (c) 5 (d) 17
  14. 14.What is the median of 32, 30, 28, 6 and 9? (a) 21 (b) 9 (c) 28 (d) 30
  15. 15.What is the median of 1, 34, 4, 29, 10, 19 and 15? (a) 15 (b) 16 (c) 19 (d) 29
  16. 16.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 15 (b) 11 (c) 13 (d) 14
  17. 17.What is the mode of 11, 1, 7, 5, 5, 5 and 11? (a) 1 (b) 5 (c) 7 (d) 11
  18. 18.What is the mode of 16, 16, 3, 14, 3, 3 and 18? (a) 14 (b) 3 (c) 18 (d) 16
  19. 19.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  20. 20.What is the mode of 9, 13, 4, 9, 2, 2 and 9? (a) 2 (b) 4 (c) 13 (d) 9
  21. 21.What is the median of 2, 28, 33, 30 and 3? (a) 3 (b) 33 (c) 30 (d) 28
  22. 22.What is the mean of 3, 13, 4 and 16? (a) 9 (b) 8 (c) 10 (d) 12
  23. 23.What is the median of 6, 28, 38, 5, 39, 21 and 24? (a) 24 (b) 5 (c) 23 (d) 28
  24. 24.What is the median of 8, 7, 40, 25, 15, 11 and 17? (a) 17 (b) 11 (c) 15 (d) 25
  25. 25.What is the mean of 15, 10, 3 and 8? (a) 8 (b) 9 (c) 12 (d) 10
  26. 26.What is the median of 28, 29, 9, 27 and 34? (a) 28 (b) 29 (c) 27 (d) 9
  27. 27.What is the mean of 17, 4, 14, 15, 10 and 24? (a) 15 (b) 14 (c) 13 (d) 12
  28. 28.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  29. 29.What is the mode of 17, 5, 7, 1, 5, 7 and 7? (a) 17 (b) 5 (c) 1 (d) 7
  30. 30.What is the mode of 14, 2, 14, 2, 12, 20 and 2? (a) 2 (b) 12 (c) 20 (d) 14
  31. 31.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 46 (b) 40 (c) 43 (d) 42
  32. 32.What is the mode of 17, 16, 13, 17, 13, 2 and 13? (a) 16 (b) 17 (c) 2 (d) 13
  33. 33.What is the mean of 17, 20, 17, 19 and 17? (a) 17 (b) 18 (c) 19 (d) 15
  34. 34.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 32 (b) 43 (c) 28 (d) 31
  35. 35.What is the median of 25, 3, 9, 36 and 13? (a) 14 (b) 13 (c) 9 (d) 25
  36. 36.What is the mode of 16, 5, 11, 11, 11, 14 and 16? (a) 14 (b) 5 (c) 16 (d) 11
  37. 37.What is the mean of 9, 17, 7, 18 and 14? (a) 15 (b) 13 (c) 12 (d) 14
  38. 38.What is the mean of 7, 5, 4, 4, 15 and 7? (a) 9 (b) 8 (c) 6 (d) 7
  39. 39.What is the mean of 4, 17, 19 and 16? (a) 16 (b) 13 (c) 14 (d) 15
  40. 40.What is the mode of 19, 4, 15, 19, 15, 15 and 7? (a) 19 (b) 15 (c) 4 (d) 7

Answer key

  1. 12
  2. 14
  3. 11
  4. 13
  5. 7
  6. 12
  7. 12
  8. 16
  9. 25
  10. 15
  11. 35
  12. 10
  13. 17
  14. 28
  15. 15
  16. 14
  17. 5
  18. 3
  19. 17
  20. 9
  21. 28
  22. 9
  23. 24
  24. 15
  25. 9
  26. 28
  27. 14
  28. 17
  29. 7
  30. 2
  31. 42
  32. 13
  33. 18
  34. 31
  35. 13
  36. 11
  37. 13
  38. 7
  39. 14
  40. 15

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