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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 302 · 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 mode of 6, 19, 6, 6, 17, 7 and 17? (a) 7 (b) 17 (c) 6 (d) 19
  2. 2.What is the median of 34, 6, 14, 27 and 25? (a) 14 (b) 26 (c) 27 (d) 25
  3. 3.What is the mean of 20, 18, 10, 12, 11 and 7? (a) 13 (b) 14 (c) 15 (d) 12
  4. 4.What is the mean of 17, 18, 5 and 16? (a) 16 (b) 14 (c) 15 (d) 13
  5. 5.What is the median of 38, 23, 12, 19 and 14? (a) 14 (b) 23 (c) 19 (d) 12
  6. 6.What is the mean of 2, 8, 11, 9 and 5? (a) 7 (b) 6 (c) 8 (d) 9
  7. 7.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 26
  8. 8.What is the mode of 12, 4, 4, 9, 10, 4 and 9? (a) 4 (b) 12 (c) 9 (d) 10
  9. 9.What is the median of 22, 35, 23, 32, 1, 9 and 27? (a) 32 (b) 27 (c) 23 (d) 22
  10. 10.What is the mode of 17, 1, 1, 19, 17, 12 and 1? (a) 17 (b) 1 (c) 19 (d) 12
  11. 11.What is the mean of 4, 12, 2, 5 and 7? (a) 7 (b) 6 (c) 8 (d) 5
  12. 12.The mean of 3 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 23 (b) 21 (c) 20 (d) 17
  13. 13.What is the median of 18, 37, 24, 40, 39, 19 and 5? (a) 26 (b) 24 (c) 40 (d) 37
  14. 14.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 18
  15. 15.What is the mean of 2, 6, 20 and 8? (a) 12 (b) 10 (c) 8 (d) 9
  16. 16.What is the mean of 10, 18, 6, 2 and 19? (a) 13 (b) 12 (c) 10 (d) 11
  17. 17.What is the mean of 18, 15, 8, 15 and 9? (a) 12 (b) 14 (c) 15 (d) 13
  18. 18.What is the mode of 12, 10, 10, 19, 3, 19 and 10? (a) 3 (b) 10 (c) 19 (d) 12
  19. 19.What is the mean of 3, 11, 10, 7 and 24? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.What is the median of 24, 9, 20, 11, 33, 2 and 40? (a) 24 (b) 21 (c) 20 (d) 11
  21. 21.What is the mode of 16, 5, 12, 8, 16, 12 and 16? (a) 5 (b) 16 (c) 12 (d) 8
  22. 22.What is the mean of 15, 16, 8, 10 and 11? (a) 12 (b) 13 (c) 15 (d) 10
  23. 23.What is the median of 5, 40, 38, 29 and 15? (a) 38 (b) 30 (c) 29 (d) 15
  24. 24.What is the median of 26, 28, 23, 6 and 9? (a) 26 (b) 23 (c) 24 (d) 9
  25. 25.What is the mean of 11, 8, 18 and 7? (a) 12 (b) 11 (c) 13 (d) 10
  26. 26.What is the mode of 2, 2, 10, 12, 10, 20 and 10? (a) 2 (b) 20 (c) 10 (d) 12
  27. 27.What is the mode of 9, 10, 17, 9, 17, 1 and 17? (a) 1 (b) 17 (c) 9 (d) 10
  28. 28.The mean of 5 numbers is 29. When the number 35 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 30
  29. 29.What is the median of 30, 5, 10, 8 and 20? (a) 10 (b) 20 (c) 8 (d) 11
  30. 30.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 12
  31. 31.What is the mean of 3, 14, 7 and 16? (a) 11 (b) 9 (c) 8 (d) 10
  32. 32.What is the median of 35, 12, 6, 26 and 19? (a) 6 (b) 12 (c) 26 (d) 19
  33. 33.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 28 (b) 27 (c) 26 (d) 24
  34. 34.The mean of 5 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 35 (b) 32 (c) 38 (d) 34
  35. 35.The mean of 7 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 25 (b) 16 (c) 26 (d) 28
  36. 36.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 32 (b) 34 (c) 33 (d) 35
  37. 37.What is the mean of 7, 2, 2 and 5? (a) 4 (b) 5 (c) 3 (d) 6
  38. 38.What is the median of 4, 15, 27, 25 and 39? (a) 27 (b) 15 (c) 25 (d) 22
  39. 39.What is the mean of 16, 8, 10 and 18? (a) 13 (b) 15 (c) 12 (d) 14
  40. 40.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 12

Answer key

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

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