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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 501 · 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 9, 9, 15, 9, 7 and 11? (a) 11 (b) 9 (c) 12 (d) 10
  2. 2.What is the median of 11, 10, 6, 26 and 1? (a) 11 (b) 10 (c) 9 (d) 6
  3. 3.What is the median of 4, 8, 20, 27 and 30? (a) 21 (b) 8 (c) 27 (d) 20
  4. 4.What is the mean of 12, 13, 11, 2 and 12? (a) 10 (b) 9 (c) 12 (d) 11
  5. 5.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 27 (b) 17 (c) 26 (d) 25
  6. 6.What is the mode of 8, 8, 12, 12, 16, 12 and 13? (a) 8 (b) 16 (c) 13 (d) 12
  7. 7.The mean of 5 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 33 (b) 34 (c) 30 (d) 39
  8. 8.What is the mode of 1, 2, 2, 20, 16, 16 and 16? (a) 2 (b) 1 (c) 16 (d) 20
  9. 9.What is the mean of 13, 18, 3, 5, 20 and 19? (a) 13 (b) 12 (c) 15 (d) 14
  10. 10.What is the mean of 7, 15, 6 and 4? (a) 7 (b) 9 (c) 10 (d) 8
  11. 11.What is the mode of 16, 6, 6, 16, 18, 7 and 16? (a) 16 (b) 7 (c) 6 (d) 18
  12. 12.What is the mean of 2, 16, 20, 9 and 3? (a) 11 (b) 9 (c) 10 (d) 12
  13. 13.What is the median of 6, 12, 10, 29, 4, 24 and 28? (a) 10 (b) 29 (c) 24 (d) 12
  14. 14.What is the mode of 15, 12, 9, 3, 9, 15 and 15? (a) 3 (b) 9 (c) 12 (d) 15
  15. 15.What is the mode of 2, 19, 17, 14, 19, 2 and 19? (a) 14 (b) 2 (c) 17 (d) 19
  16. 16.What is the median of 12, 24, 19, 37 and 28? (a) 28 (b) 25 (c) 24 (d) 19
  17. 17.What is the mean of 5, 11, 3 and 5? (a) 5 (b) 6 (c) 7 (d) 8
  18. 18.What is the mean of 5, 14, 18, 4, 20 and 23? (a) 13 (b) 12 (c) 15 (d) 14
  19. 19.What is the median of 7, 34, 1, 5, 19, 4 and 36? (a) 19 (b) 5 (c) 8 (d) 7
  20. 20.What is the median of 40, 26, 32, 28, 11, 25 and 39? (a) 32 (b) 28 (c) 26 (d) 29
  21. 21.What is the mode of 2, 19, 7, 3, 7, 19 and 7? (a) 2 (b) 3 (c) 7 (d) 19
  22. 22.What is the median of 4, 29, 17, 12 and 7? (a) 17 (b) 13 (c) 12 (d) 7
  23. 23.What is the median of 3, 24, 32, 11 and 5? (a) 24 (b) 15 (c) 11 (d) 32
  24. 24.What is the mode of 3, 17, 7, 18, 17, 7 and 17? (a) 17 (b) 3 (c) 18 (d) 7
  25. 25.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 23
  26. 26.What is the mean of 8, 9, 18, 2, 16 and 19? (a) 13 (b) 11 (c) 14 (d) 12
  27. 27.What is the median of 29, 20, 40, 12, 3, 36 and 17? (a) 17 (b) 20 (c) 29 (d) 12
  28. 28.What is the median of 11, 6, 30, 2 and 1? (a) 11 (b) 30 (c) 6 (d) 10
  29. 29.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 18 (b) 13 (c) 12 (d) 10
  30. 30.What is the mode of 5, 10, 8, 10, 10, 2 and 8? (a) 10 (b) 2 (c) 8 (d) 5
  31. 31.The mean of 4 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 38 (b) 40 (c) 41 (d) 43
  32. 32.What is the median of 18, 25, 35, 28 and 19? (a) 19 (b) 28 (c) 35 (d) 25
  33. 33.What is the mean of 4, 19, 9, 4 and 19? (a) 13 (b) 10 (c) 11 (d) 12
  34. 34.What is the median of 35, 9, 27, 31 and 24? (a) 28 (b) 31 (c) 24 (d) 27
  35. 35.What is the median of 29, 33, 37, 32, 9, 28 and 23? (a) 29 (b) 28 (c) 32 (d) 30
  36. 36.What is the median of 23, 10, 38, 11, 25, 30 and 34? (a) 25 (b) 11 (c) 23 (d) 30
  37. 37.What is the mode of 2, 9, 2, 4, 4, 4 and 5? (a) 5 (b) 9 (c) 4 (d) 2
  38. 38.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 28
  39. 39.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 14
  40. 40.What is the mean of 13, 7, 16, 20, 2 and 14? (a) 11 (b) 14 (c) 13 (d) 12

Answer key

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

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