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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 272 · 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, 34, 33, 30, 17, 25 and 16? (a) 32 (b) 31 (c) 25 (d) 30
  2. 2.What is the median of 7, 2, 24, 23 and 15? (a) 7 (b) 23 (c) 15 (d) 24
  3. 3.What is the mean of 4, 6, 6, 19 and 15? (a) 12 (b) 11 (c) 9 (d) 10
  4. 4.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 31 (b) 30 (c) 33 (d) 32
  5. 5.What is the mode of 6, 16, 16, 4, 19, 19 and 16? (a) 19 (b) 6 (c) 4 (d) 16
  6. 6.What is the mean of 15, 7, 20, 12, 16 and 8? (a) 12 (b) 14 (c) 15 (d) 13
  7. 7.What is the mean of 9, 10, 16 and 13? (a) 12 (b) 13 (c) 11 (d) 16
  8. 8.What is the mean of 3, 5, 5, 4 and 3? (a) 6 (b) 4 (c) 5 (d) 3
  9. 9.What is the median of 21, 11, 34, 22, 40, 32 and 5? (a) 23 (b) 21 (c) 32 (d) 22
  10. 10.The mean of 8 numbers is 29. When the number 2 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 29
  11. 11.What is the mode of 13, 16, 9, 16, 9, 12 and 9? (a) 12 (b) 16 (c) 9 (d) 13
  12. 12.What is the mode of 1, 17, 2, 2, 20, 17 and 2? (a) 20 (b) 2 (c) 17 (d) 1
  13. 13.What is the mean of 5, 5, 20, 6, 13 and 11? (a) 11 (b) 9 (c) 12 (d) 10
  14. 14.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 8 (b) 7 (c) 9 (d) 10
  15. 15.The mean of 6 numbers is 17. When the number 31 is added to them, what is the new mean? (a) 20 (b) 24 (c) 19 (d) 17
  16. 16.What is the median of 29, 13, 35, 12, 3, 2 and 21? (a) 13 (b) 12 (c) 21 (d) 14
  17. 17.What is the mode of 4, 1, 4, 17, 1, 18 and 1? (a) 1 (b) 4 (c) 18 (d) 17
  18. 18.What is the mean of 12, 16, 19 and 17? (a) 17 (b) 18 (c) 15 (d) 16
  19. 19.What is the mean of 10, 18, 12, 11, 15 and 12? (a) 15 (b) 12 (c) 13 (d) 14
  20. 20.What is the median of 35, 34, 17, 20, 25, 10 and 14? (a) 21 (b) 25 (c) 17 (d) 20
  21. 21.What is the mean of 20, 6, 17, 15 and 17? (a) 14 (b) 16 (c) 17 (d) 15
  22. 22.What is the median of 4, 20, 13, 14 and 39? (a) 18 (b) 20 (c) 14 (d) 13
  23. 23.What is the median of 4, 40, 11, 21 and 7? (a) 12 (b) 7 (c) 11 (d) 21
  24. 24.What is the mean of 13, 7, 13, 13 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  25. 25.What is the mode of 1, 1, 1, 11, 11, 12 and 18? (a) 18 (b) 11 (c) 1 (d) 12
  26. 26.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 18
  27. 27.What is the mode of 15, 16, 15, 14, 10, 14 and 14? (a) 14 (b) 10 (c) 16 (d) 15
  28. 28.What is the mean of 14, 14, 3, 11 and 23? (a) 14 (b) 15 (c) 12 (d) 13
  29. 29.What is the mode of 1, 19, 2, 10, 19, 10 and 19? (a) 10 (b) 19 (c) 2 (d) 1
  30. 30.What is the median of 17, 29, 38, 6, 35, 1 and 40? (a) 17 (b) 6 (c) 29 (d) 35
  31. 31.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 20 (b) 21 (c) 18 (d) 23
  32. 32.What is the mode of 3, 2, 1, 2, 3, 2 and 20? (a) 1 (b) 3 (c) 20 (d) 2
  33. 33.What is the mean of 17, 19, 18 and 10? (a) 15 (b) 17 (c) 18 (d) 16
  34. 34.What is the mean of 17, 10, 5, 2, 6 and 14? (a) 10 (b) 8 (c) 9 (d) 11
  35. 35.What is the median of 10, 1, 38, 23 and 12? (a) 10 (b) 38 (c) 12 (d) 23
  36. 36.What is the mode of 15, 15, 14, 11, 10, 10 and 10? (a) 15 (b) 11 (c) 14 (d) 10
  37. 37.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 24
  38. 38.What is the median of 14, 30, 37, 17, 11, 3 and 18? (a) 18 (b) 16 (c) 14 (d) 17
  39. 39.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 39 (b) 42 (c) 41 (d) 40
  40. 40.What is the mode of 11, 11, 10, 11, 7, 19 and 19? (a) 19 (b) 11 (c) 10 (d) 7

Answer key

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

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