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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 731 · 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 19, 7, 17 and 9? (a) 14 (b) 15 (c) 12 (d) 13
  2. 2.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 20 (b) 24 (c) 22 (d) 23
  3. 3.What is the mode of 20, 9, 15, 16, 9, 15 and 9? (a) 16 (b) 15 (c) 9 (d) 20
  4. 4.What is the mean of 10, 15, 4 and 15? (a) 12 (b) 11 (c) 10 (d) 13
  5. 5.What is the mean of 7, 5, 8, 17, 7 and 10? (a) 8 (b) 9 (c) 11 (d) 10
  6. 6.What is the mean of 18, 16, 14 and 16? (a) 15 (b) 16 (c) 18 (d) 17
  7. 7.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 31
  8. 8.What is the mean of 19, 20, 8 and 17? (a) 17 (b) 15 (c) 16 (d) 18
  9. 9.What is the mean of 14, 5, 17, 10, 6 and 8? (a) 11 (b) 10 (c) 9 (d) 12
  10. 10.What is the median of 9, 3, 24, 40 and 28? (a) 24 (b) 25 (c) 9 (d) 28
  11. 11.What is the mean of 10, 20, 7, 11 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  12. 12.What is the mode of 18, 1, 10, 10, 5, 10 and 18? (a) 5 (b) 1 (c) 10 (d) 18
  13. 13.What is the mean of 10, 4, 17, 14, 18 and 9? (a) 14 (b) 13 (c) 12 (d) 11
  14. 14.What is the median of 14, 17, 7, 26, 10, 29 and 24? (a) 26 (b) 14 (c) 24 (d) 17
  15. 15.What is the median of 12, 20, 23, 6 and 7? (a) 23 (b) 20 (c) 7 (d) 12
  16. 16.What is the mean of 15, 19, 18 and 4? (a) 16 (b) 15 (c) 13 (d) 14
  17. 17.What is the mean of 10, 13, 9, 12 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  18. 18.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 7 (c) 10 (d) 9
  19. 19.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 48 (b) 43 (c) 38 (d) 42
  20. 20.What is the mode of 9, 16, 4, 4, 4, 1 and 9? (a) 4 (b) 9 (c) 16 (d) 1
  21. 21.What is the median of 2, 5, 12, 1, 39, 3 and 15? (a) 11 (b) 5 (c) 1 (d) 12
  22. 22.What is the median of 14, 27, 13, 16, 1, 32 and 24? (a) 16 (b) 17 (c) 14 (d) 24
  23. 23.What is the mode of 13, 15, 13, 17, 13, 16 and 15? (a) 17 (b) 16 (c) 15 (d) 13
  24. 24.The mean of 8 numbers is 17. When the number 8 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 18
  25. 25.What is the mean of 9, 4, 9, 18 and 5? (a) 11 (b) 10 (c) 8 (d) 9
  26. 26.What is the median of 7, 5, 35, 18 and 19? (a) 19 (b) 18 (c) 7 (d) 35
  27. 27.What is the mode of 10, 17, 10, 13, 17, 19 and 17? (a) 13 (b) 19 (c) 10 (d) 17
  28. 28.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 15
  29. 29.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  30. 30.What is the median of 26, 39, 5, 6, 1, 34 and 37? (a) 6 (b) 26 (c) 34 (d) 27
  31. 31.What is the mode of 12, 3, 5, 18, 5, 18 and 5? (a) 18 (b) 5 (c) 12 (d) 3
  32. 32.What is the mode of 10, 10, 20, 7, 20, 6 and 20? (a) 7 (b) 6 (c) 10 (d) 20
  33. 33.What is the mode of 16, 1, 8, 8, 1, 7 and 1? (a) 7 (b) 16 (c) 1 (d) 8
  34. 34.What is the mode of 19, 17, 1, 1, 19, 19 and 14? (a) 14 (b) 17 (c) 19 (d) 1
  35. 35.What is the mean of 11, 13, 11 and 9? (a) 10 (b) 11 (c) 13 (d) 12
  36. 36.What is the mode of 9, 3, 3, 15, 11, 9 and 3? (a) 9 (b) 3 (c) 15 (d) 11
  37. 37.What is the mean of 4, 14, 18, 20 and 14? (a) 14 (b) 13 (c) 16 (d) 15
  38. 38.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 22
  39. 39.What is the mode of 14, 16, 5, 14, 5, 13 and 14? (a) 16 (b) 5 (c) 13 (d) 14
  40. 40.What is the mean of 6, 2, 3, 18 and 16? (a) 11 (b) 10 (c) 9 (d) 8

Answer key

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

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