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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 385 · 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 12, 10, 5, 13, 3 and 11? (a) 8 (b) 10 (c) 9 (d) 11
  2. 2.What is the mode of 11, 6, 11, 18, 11, 13 and 6? (a) 13 (b) 18 (c) 11 (d) 6
  3. 3.What is the mean of 5, 11, 9, 15, 18 and 20? (a) 14 (b) 13 (c) 15 (d) 12
  4. 4.What is the median of 40, 32, 38, 17, 34, 11 and 8? (a) 17 (b) 34 (c) 33 (d) 32
  5. 5.What is the mode of 5, 11, 5, 16, 5, 16 and 9? (a) 16 (b) 5 (c) 9 (d) 11
  6. 6.What is the mean of 9, 3, 19, 20, 12 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  7. 7.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 18
  8. 8.What is the mode of 12, 6, 6, 12, 12, 19 and 13? (a) 6 (b) 13 (c) 12 (d) 19
  9. 9.The mean of 3 numbers is 11. When the number 23 is added to them, what is the new mean? (a) 11 (b) 17 (c) 15 (d) 14
  10. 10.The mean of 3 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 21
  11. 11.The mean of 4 numbers is 25. When the number 30 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 28
  12. 12.What is the mean of 3, 14, 20 and 3? (a) 8 (b) 10 (c) 11 (d) 9
  13. 13.What is the mode of 4, 4, 1, 4, 1, 11 and 3? (a) 3 (b) 4 (c) 1 (d) 11
  14. 14.What is the median of 29, 15, 30, 34, 1, 14 and 37? (a) 30 (b) 15 (c) 34 (d) 29
  15. 15.What is the mean of 3, 4, 9, 3 and 6? (a) 4 (b) 5 (c) 7 (d) 6
  16. 16.What is the mode of 12, 12, 1, 17, 17, 3 and 12? (a) 1 (b) 3 (c) 17 (d) 12
  17. 17.What is the mode of 5, 12, 12, 9, 9, 1 and 12? (a) 1 (b) 5 (c) 9 (d) 12
  18. 18.What is the mean of 11, 17, 9, 17 and 6? (a) 10 (b) 12 (c) 15 (d) 13
  19. 19.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  20. 20.What is the mean of 14, 20, 3, 8, 7 and 8? (a) 10 (b) 11 (c) 9 (d) 12
  21. 21.What is the mean of 18, 8, 15 and 11? (a) 12 (b) 14 (c) 15 (d) 13
  22. 22.The mean of 5 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 19 (b) 14 (c) 26 (d) 18
  23. 23.What is the mode of 6, 15, 15, 7, 15, 7 and 10? (a) 7 (b) 6 (c) 15 (d) 10
  24. 24.What is the mode of 6, 2, 10, 2, 19, 6 and 6? (a) 2 (b) 10 (c) 6 (d) 19
  25. 25.What is the median of 12, 32, 3, 20, 39, 18 and 1? (a) 19 (b) 12 (c) 20 (d) 18
  26. 26.What is the median of 29, 36, 31, 5 and 32? (a) 32 (b) 29 (c) 31 (d) 30
  27. 27.What is the mean of 3, 13, 5 and 3? (a) 7 (b) 6 (c) 5 (d) 8
  28. 28.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 18
  29. 29.What is the mean of 9, 4, 10 and 17? (a) 8 (b) 11 (c) 9 (d) 10
  30. 30.What is the mode of 6, 6, 7, 8, 5, 7 and 6? (a) 5 (b) 7 (c) 6 (d) 8
  31. 31.What is the mode of 4, 4, 4, 18, 10, 7 and 10? (a) 10 (b) 4 (c) 7 (d) 18
  32. 32.What is the mean of 20, 5, 3 and 20? (a) 16 (b) 13 (c) 11 (d) 12
  33. 33.What is the mode of 3, 9, 4, 15, 15, 4 and 4? (a) 9 (b) 4 (c) 3 (d) 15
  34. 34.What is the median of 25, 13, 27, 28 and 31? (a) 26 (b) 25 (c) 27 (d) 28
  35. 35.What is the mode of 1, 9, 7, 9, 7, 7 and 3? (a) 9 (b) 7 (c) 3 (d) 1
  36. 36.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 30 (b) 34 (c) 33 (d) 32
  37. 37.What is the mean of 10, 15, 2 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  38. 38.What is the mode of 15, 20, 15, 20, 8, 9 and 15? (a) 15 (b) 20 (c) 8 (d) 9
  39. 39.What is the mean of 5, 8, 7 and 8? (a) 8 (b) 9 (c) 7 (d) 6
  40. 40.What is the median of 25, 7, 2, 33 and 15? (a) 2 (b) 7 (c) 15 (d) 25

Answer key

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

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