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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 997 · 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 median of 16, 21, 19, 30 and 17? (a) 20 (b) 21 (c) 19 (d) 17
  2. 2.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 22 (b) 19 (c) 21 (d) 20
  3. 3.What is the mode of 1, 18, 8, 14, 14, 14 and 18? (a) 1 (b) 14 (c) 8 (d) 18
  4. 4.What is the median of 12, 31, 11, 6 and 9? (a) 10 (b) 12 (c) 11 (d) 9
  5. 5.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 38 (b) 37 (c) 40 (d) 39
  6. 6.What is the mean of 11, 2, 4, 15, 4 and 6? (a) 6 (b) 8 (c) 9 (d) 7
  7. 7.What is the mode of 6, 6, 6, 10, 7, 12 and 7? (a) 6 (b) 7 (c) 10 (d) 12
  8. 8.What is the mode of 7, 4, 1, 4, 11, 1 and 1? (a) 1 (b) 7 (c) 11 (d) 4
  9. 9.What is the mean of 5, 7, 11, 8, 11 and 6? (a) 10 (b) 9 (c) 8 (d) 7
  10. 10.What is the mean of 8, 12, 12 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  11. 11.What is the mode of 4, 2, 3, 3, 2, 1 and 2? (a) 1 (b) 3 (c) 2 (d) 4
  12. 12.What is the mode of 12, 12, 5, 12, 5, 14 and 1? (a) 12 (b) 5 (c) 1 (d) 14
  13. 13.What is the mean of 14, 18, 11, 6, 15 and 14? (a) 14 (b) 12 (c) 13 (d) 15
  14. 14.What is the mode of 3, 5, 5, 1, 3, 3 and 11? (a) 11 (b) 5 (c) 3 (d) 1
  15. 15.What is the mode of 5, 6, 2, 6, 10, 10 and 10? (a) 5 (b) 10 (c) 2 (d) 6
  16. 16.What is the median of 40, 29, 35, 21 and 16? (a) 35 (b) 29 (c) 30 (d) 21
  17. 17.What is the mode of 6, 2, 2, 12, 12, 1 and 12? (a) 2 (b) 6 (c) 12 (d) 1
  18. 18.What is the mode of 4, 4, 10, 4, 3, 18 and 3? (a) 18 (b) 4 (c) 10 (d) 3
  19. 19.What is the mode of 4, 2, 4, 5, 4, 2 and 3? (a) 3 (b) 5 (c) 4 (d) 2
  20. 20.What is the mean of 9, 6, 5 and 16? (a) 10 (b) 8 (c) 9 (d) 12
  21. 21.What is the mode of 8, 3, 15, 15, 8, 17 and 15? (a) 17 (b) 8 (c) 15 (d) 3
  22. 22.The mean of 4 numbers is 26. When the number 31 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
  23. 23.What is the mode of 14, 9, 1, 14, 11, 9 and 9? (a) 14 (b) 9 (c) 1 (d) 11
  24. 24.What is the mean of 13, 2, 16 and 17? (a) 11 (b) 12 (c) 13 (d) 16
  25. 25.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 24 (c) 33 (d) 34
  26. 26.What is the mode of 12, 12, 18, 20, 1, 20 and 20? (a) 1 (b) 20 (c) 18 (d) 12
  27. 27.What is the mean of 6, 20, 10, 20 and 9? (a) 14 (b) 13 (c) 15 (d) 12
  28. 28.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  29. 29.What is the median of 4, 37, 26, 10 and 30? (a) 26 (b) 27 (c) 10 (d) 30
  30. 30.What is the mean of 14, 14, 20 and 8? (a) 14 (b) 16 (c) 13 (d) 15
  31. 31.What is the mean of 20, 3, 8, 9 and 15? (a) 13 (b) 12 (c) 10 (d) 11
  32. 32.What is the median of 38, 1, 12, 36 and 10? (a) 36 (b) 10 (c) 13 (d) 12
  33. 33.What is the mean of 17, 20, 12, 16 and 20? (a) 19 (b) 16 (c) 17 (d) 18
  34. 34.What is the median of 1, 14, 13, 5 and 24? (a) 14 (b) 5 (c) 12 (d) 13
  35. 35.The mean of 6 numbers is 35. When the number 49 is added to them, what is the new mean? (a) 37 (b) 42 (c) 38 (d) 35
  36. 36.What is the mean of 9, 10, 8 and 21? (a) 13 (b) 11 (c) 12 (d) 16
  37. 37.What is the median of 13, 30, 27, 12 and 34? (a) 30 (b) 28 (c) 27 (d) 13
  38. 38.What is the median of 4, 26, 27, 23 and 12? (a) 12 (b) 23 (c) 26 (d) 27
  39. 39.The mean of 6 numbers is 40. When the number 19 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 40
  40. 40.What is the mean of 11, 4, 15, 14 and 11? (a) 10 (b) 12 (c) 11 (d) 13

Answer key

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

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