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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 961 · 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.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 25 (b) 26 (c) 28 (d) 27
  2. 2.What is the mean of 15, 15, 9 and 13? (a) 13 (b) 12 (c) 15 (d) 14
  3. 3.What is the median of 12, 6, 38, 11, 35, 16 and 24? (a) 11 (b) 12 (c) 24 (d) 16
  4. 4.The mean of 8 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 11 (b) 20 (c) 13 (d) 14
  5. 5.What is the mode of 13, 6, 4, 1, 1, 13 and 1? (a) 6 (b) 4 (c) 13 (d) 1
  6. 6.What is the median of 39, 8, 10, 33 and 7? (a) 33 (b) 11 (c) 8 (d) 10
  7. 7.What is the median of 16, 11, 36, 4, 23, 18 and 22? (a) 18 (b) 4 (c) 22 (d) 16
  8. 8.What is the mean of 5, 7, 12, 6, 6 and 18? (a) 10 (b) 11 (c) 9 (d) 8
  9. 9.The mean of 4 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 36 (b) 35 (c) 31 (d) 34
  10. 10.What is the mean of 15, 4, 13 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  11. 11.What is the median of 8, 38, 1, 11, 37, 31 and 19? (a) 20 (b) 19 (c) 11 (d) 31
  12. 12.The mean of 8 numbers is 25. When the number 61 is added to them, what is the new mean? (a) 25 (b) 29 (c) 43 (d) 30
  13. 13.What is the mode of 10, 17, 20, 10, 5, 5 and 10? (a) 5 (b) 17 (c) 20 (d) 10
  14. 14.What is the mean of 11, 10, 6, 12 and 16? (a) 13 (b) 10 (c) 12 (d) 11
  15. 15.The mean of 7 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 14 (b) 23 (c) 24 (d) 26
  16. 16.What is the mode of 6, 6, 15, 6, 4, 8 and 4? (a) 4 (b) 8 (c) 15 (d) 6
  17. 17.What is the mean of 8, 2, 3, 12, 3 and 8? (a) 7 (b) 6 (c) 5 (d) 8
  18. 18.What is the mean of 13, 5, 7 and 11? (a) 10 (b) 8 (c) 12 (d) 9
  19. 19.What is the median of 30, 10, 15, 12 and 18? (a) 12 (b) 18 (c) 15 (d) 17
  20. 20.What is the mean of 8, 13, 6, 7 and 21? (a) 13 (b) 12 (c) 11 (d) 10
  21. 21.The mean of 7 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 25 (b) 17 (c) 20 (d) 19
  22. 22.What is the mean of 2, 3, 17 and 6? (a) 9 (b) 7 (c) 8 (d) 6
  23. 23.What is the median of 3, 23, 12, 5 and 6? (a) 6 (b) 5 (c) 7 (d) 12
  24. 24.What is the median of 24, 35, 27, 33, 7, 36 and 32? (a) 33 (b) 27 (c) 31 (d) 32
  25. 25.What is the median of 18, 26, 2, 4 and 24? (a) 18 (b) 24 (c) 4 (d) 2
  26. 26.What is the mean of 4, 14, 3, 17, 10 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  27. 27.What is the mode of 14, 3, 5, 3, 3, 11 and 11? (a) 14 (b) 5 (c) 3 (d) 11
  28. 28.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 17 (c) 12 (d) 16
  29. 29.What is the median of 40, 8, 4, 13, 1, 15 and 39? (a) 14 (b) 15 (c) 13 (d) 8
  30. 30.What is the median of 36, 29, 6, 30 and 35? (a) 35 (b) 6 (c) 29 (d) 30
  31. 31.What is the mean of 6, 12, 19, 6, 15 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.What is the mean of 3, 3, 3, 11, 4 and 18? (a) 6 (b) 8 (c) 7 (d) 9
  33. 33.What is the mean of 16, 11, 16, 3, 13 and 13? (a) 12 (b) 13 (c) 14 (d) 11
  34. 34.What is the mode of 11, 3, 8, 3, 3, 11 and 5? (a) 3 (b) 11 (c) 8 (d) 5
  35. 35.What is the mean of 13, 2, 13 and 4? (a) 10 (b) 9 (c) 7 (d) 8
  36. 36.What is the mean of 4, 13, 18, 15 and 15? (a) 13 (b) 15 (c) 12 (d) 14
  37. 37.What is the mean of 17, 16, 8, 9 and 20? (a) 14 (b) 13 (c) 15 (d) 16
  38. 38.What is the mode of 20, 5, 12, 12, 5, 12 and 2? (a) 12 (b) 5 (c) 20 (d) 2
  39. 39.What is the median of 16, 8, 26, 37, 25, 13 and 31? (a) 25 (b) 26 (c) 16 (d) 37
  40. 40.What is the median of 11, 10, 25, 14, 33, 12 and 30? (a) 15 (b) 12 (c) 25 (d) 14

Answer key

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

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