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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 676 · 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 10, 6, 12, 5, 11 and 16? (a) 11 (b) 9 (c) 10 (d) 12
  2. 2.What is the mode of 5, 15, 6, 6, 15, 10 and 6? (a) 6 (b) 5 (c) 15 (d) 10
  3. 3.What is the mean of 9, 10, 6 and 15? (a) 11 (b) 10 (c) 9 (d) 8
  4. 4.What is the mode of 15, 19, 5, 15, 5, 15 and 13? (a) 19 (b) 15 (c) 5 (d) 13
  5. 5.The mean of 9 numbers is 20. When the number 50 is added to them, what is the new mean? (a) 23 (b) 24 (c) 20 (d) 35
  6. 6.What is the median of 3, 36, 6, 37 and 12? (a) 12 (b) 13 (c) 36 (d) 6
  7. 7.The mean of 8 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 24 (b) 33 (c) 27 (d) 26
  8. 8.What is the median of 11, 23, 24, 16, 38, 8 and 12? (a) 17 (b) 16 (c) 12 (d) 23
  9. 9.What is the median of 24, 2, 6, 1, 28, 36 and 5? (a) 24 (b) 1 (c) 6 (d) 5
  10. 10.What is the mean of 13, 10, 11, 6, 8 and 12? (a) 10 (b) 11 (c) 12 (d) 9
  11. 11.What is the median of 12, 3, 22, 16 and 8? (a) 16 (b) 22 (c) 8 (d) 12
  12. 12.What is the mean of 7, 3, 13 and 5? (a) 7 (b) 6 (c) 9 (d) 8
  13. 13.What is the mode of 9, 11, 9, 19, 19, 9 and 4? (a) 11 (b) 4 (c) 19 (d) 9
  14. 14.What is the mode of 20, 8, 1, 20, 9, 1 and 20? (a) 1 (b) 20 (c) 8 (d) 9
  15. 15.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 8 (b) 11 (c) 12 (d) 13
  16. 16.What is the mode of 7, 5, 18, 18, 5, 18 and 11? (a) 5 (b) 18 (c) 7 (d) 11
  17. 17.What is the mean of 4, 15, 3, 19, 15 and 16? (a) 12 (b) 14 (c) 11 (d) 13
  18. 18.What is the mean of 8, 18, 19, 16 and 19? (a) 17 (b) 15 (c) 16 (d) 20
  19. 19.What is the mean of 17, 19, 17, 5, 19 and 19? (a) 17 (b) 16 (c) 15 (d) 18
  20. 20.What is the mode of 10, 11, 18, 11, 11, 18 and 2? (a) 11 (b) 10 (c) 2 (d) 18
  21. 21.What is the mean of 11, 4, 17, 8, 13 and 19? (a) 12 (b) 13 (c) 14 (d) 11
  22. 22.What is the mode of 7, 5, 7, 13, 13, 7 and 20? (a) 13 (b) 20 (c) 7 (d) 5
  23. 23.What is the mean of 19, 5, 5 and 15? (a) 12 (b) 11 (c) 13 (d) 10
  24. 24.The mean of 7 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 41 (c) 42 (d) 39
  25. 25.What is the median of 8, 5, 16, 26, 22, 40 and 39? (a) 23 (b) 26 (c) 16 (d) 22
  26. 26.What is the mean of 15, 10, 2, 4 and 4? (a) 7 (b) 9 (c) 8 (d) 6
  27. 27.What is the mean of 12, 8, 2 and 10? (a) 9 (b) 8 (c) 10 (d) 7
  28. 28.What is the median of 2, 40, 16, 38 and 24? (a) 38 (b) 24 (c) 25 (d) 16
  29. 29.What is the median of 32, 2, 21, 26, 35, 9 and 34? (a) 21 (b) 26 (c) 27 (d) 32
  30. 30.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 32 (c) 36 (d) 33
  31. 31.What is the mode of 19, 19, 12, 12, 19, 17 and 16? (a) 12 (b) 17 (c) 19 (d) 16
  32. 32.What is the median of 40, 2, 3, 39 and 18? (a) 39 (b) 18 (c) 19 (d) 3
  33. 33.What is the mean of 19, 18, 15, 20, 10 and 8? (a) 14 (b) 18 (c) 15 (d) 16
  34. 34.What is the median of 36, 16, 33, 17, 23, 32 and 28? (a) 28 (b) 23 (c) 17 (d) 32
  35. 35.What is the median of 38, 25, 23, 11, 4, 6 and 26? (a) 25 (b) 23 (c) 19 (d) 11
  36. 36.What is the mean of 14, 8, 6, 18 and 9? (a) 11 (b) 13 (c) 10 (d) 12
  37. 37.What is the mode of 20, 1, 8, 8, 1, 15 and 1? (a) 20 (b) 1 (c) 8 (d) 15
  38. 38.What is the mode of 6, 6, 5, 15, 6, 15 and 7? (a) 5 (b) 7 (c) 6 (d) 15
  39. 39.What is the median of 2, 33, 28, 18 and 25? (a) 28 (b) 26 (c) 25 (d) 18
  40. 40.The mean of 8 numbers is 27. When the number 54 is added to them, what is the new mean? (a) 30 (b) 29 (c) 27 (d) 31

Answer key

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

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