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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 912 · 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 5, 11, 16, 4 and 9? (a) 11 (b) 10 (c) 9 (d) 8
  2. 2.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 9
  3. 3.What is the mode of 14, 20, 17, 14, 17, 17 and 19? (a) 14 (b) 20 (c) 17 (d) 19
  4. 4.What is the mode of 4, 8, 16, 12, 8, 12 and 12? (a) 8 (b) 4 (c) 12 (d) 16
  5. 5.What is the mean of 2, 5, 18 and 15? (a) 9 (b) 10 (c) 8 (d) 11
  6. 6.The mean of 7 numbers is 39. When the number 7 is added to them, what is the new mean? (a) 23 (b) 35 (c) 36 (d) 39
  7. 7.What is the mode of 1, 16, 11, 11, 11, 1 and 20? (a) 20 (b) 1 (c) 16 (d) 11
  8. 8.The mean of 7 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 33
  9. 9.The mean of 5 numbers is 28. When the number 22 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 28
  10. 10.What is the mode of 3, 13, 6, 2, 13, 6 and 13? (a) 6 (b) 3 (c) 13 (d) 2
  11. 11.What is the mode of 11, 11, 5, 20, 6, 6 and 11? (a) 20 (b) 5 (c) 6 (d) 11
  12. 12.The mean of 9 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 36 (c) 37 (d) 38
  13. 13.What is the mode of 9, 16, 1, 18, 1, 1 and 16? (a) 16 (b) 9 (c) 1 (d) 18
  14. 14.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 36 (b) 37 (c) 39 (d) 38
  15. 15.What is the mode of 20, 20, 17, 9, 9, 9 and 13? (a) 13 (b) 20 (c) 17 (d) 9
  16. 16.What is the mode of 9, 9, 8, 3, 3, 19 and 9? (a) 19 (b) 9 (c) 8 (d) 3
  17. 17.The mean of 7 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 40 (b) 41 (c) 42 (d) 44
  18. 18.What is the mode of 10, 11, 11, 8, 18, 8 and 8? (a) 11 (b) 10 (c) 8 (d) 18
  19. 19.The mean of 6 numbers is 12. When the number 26 is added to them, what is the new mean? (a) 19 (b) 14 (c) 12 (d) 15
  20. 20.What is the median of 31, 40, 14, 4, 9, 27 and 28? (a) 27 (b) 28 (c) 14 (d) 4
  21. 21.What is the mode of 10, 18, 4, 4, 18, 18 and 8? (a) 4 (b) 10 (c) 8 (d) 18
  22. 22.What is the mode of 5, 20, 20, 9, 5, 13 and 5? (a) 20 (b) 9 (c) 5 (d) 13
  23. 23.What is the median of 25, 5, 4, 10, 32, 18 and 35? (a) 19 (b) 18 (c) 25 (d) 10
  24. 24.What is the mean of 19, 13, 11 and 5? (a) 12 (b) 13 (c) 11 (d) 16
  25. 25.What is the mean of 14, 8, 17, 16 and 5? (a) 10 (b) 15 (c) 13 (d) 12
  26. 26.What is the mode of 5, 12, 7, 5, 12, 2 and 12? (a) 7 (b) 5 (c) 12 (d) 2
  27. 27.What is the mean of 2, 20, 7, 2, 6 and 5? (a) 7 (b) 6 (c) 9 (d) 8
  28. 28.What is the mode of 12, 9, 5, 1, 5, 5 and 12? (a) 1 (b) 5 (c) 9 (d) 12
  29. 29.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 35 (b) 34 (c) 31 (d) 37
  30. 30.What is the mean of 13, 4, 10, 14, 16 and 9? (a) 10 (b) 12 (c) 13 (d) 11
  31. 31.What is the mode of 3, 5, 3, 20, 6, 20 and 20? (a) 3 (b) 6 (c) 5 (d) 20
  32. 32.What is the mode of 18, 15, 15, 18, 2, 8 and 18? (a) 8 (b) 18 (c) 15 (d) 2
  33. 33.What is the mean of 20, 12, 12, 5, 2 and 9? (a) 11 (b) 12 (c) 10 (d) 9
  34. 34.The mean of 5 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 35 (b) 31 (c) 32 (d) 29
  35. 35.The mean of 7 numbers is 12. When the number 44 is added to them, what is the new mean? (a) 16 (b) 28 (c) 12 (d) 17
  36. 36.What is the mean of 9, 9, 4, 11 and 22? (a) 11 (b) 10 (c) 12 (d) 13
  37. 37.What is the median of 14, 8, 20, 11 and 31? (a) 11 (b) 15 (c) 20 (d) 14
  38. 38.What is the mean of 9, 18, 19, 11 and 18? (a) 17 (b) 15 (c) 16 (d) 14
  39. 39.What is the mean of 10, 16, 8 and 10? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 28 (b) 26 (c) 24 (d) 27

Answer key

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

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