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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 906 · 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 7, 2, 7, 4, 14, 4 and 4? (a) 4 (b) 14 (c) 2 (d) 7
  2. 2.What is the median of 23, 35, 33, 11 and 19? (a) 23 (b) 24 (c) 19 (d) 33
  3. 3.The mean of 9 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 30 (b) 39 (c) 38 (d) 40
  4. 4.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 32 (b) 33 (c) 35 (d) 34
  5. 5.What is the mode of 12, 16, 17, 17, 5, 12 and 12? (a) 17 (b) 5 (c) 16 (d) 12
  6. 6.What is the mean of 13, 9, 6 and 16? (a) 13 (b) 11 (c) 12 (d) 10
  7. 7.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 29 (c) 27 (d) 28
  8. 8.What is the mean of 12, 10, 14, 8, 17 and 17? (a) 15 (b) 13 (c) 12 (d) 14
  9. 9.What is the mean of 12, 16, 10, 15 and 17? (a) 15 (b) 13 (c) 14 (d) 16
  10. 10.What is the mean of 11, 3, 11, 18 and 22? (a) 14 (b) 15 (c) 13 (d) 12
  11. 11.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 18
  12. 12.What is the median of 9, 2, 11, 36, 10, 31 and 21? (a) 36 (b) 21 (c) 11 (d) 10
  13. 13.What is the mode of 12, 12, 17, 18, 6, 12 and 6? (a) 6 (b) 12 (c) 17 (d) 18
  14. 14.What is the mean of 18, 14, 15, 10, 18 and 21? (a) 15 (b) 16 (c) 17 (d) 18
  15. 15.What is the mean of 14, 13, 18, 10 and 15? (a) 16 (b) 14 (c) 13 (d) 15
  16. 16.What is the median of 6, 10, 40, 14 and 39? (a) 10 (b) 39 (c) 40 (d) 14
  17. 17.What is the median of 36, 11, 18, 10, 21, 12 and 35? (a) 10 (b) 12 (c) 21 (d) 18
  18. 18.What is the mean of 11, 4, 8, 10, 17 and 22? (a) 14 (b) 11 (c) 12 (d) 13
  19. 19.What is the median of 29, 34, 5, 9, 23, 1 and 8? (a) 23 (b) 8 (c) 9 (d) 10
  20. 20.What is the mode of 9, 16, 10, 11, 9, 11 and 11? (a) 9 (b) 10 (c) 16 (d) 11
  21. 21.What is the mode of 4, 6, 6, 4, 2, 4 and 9? (a) 6 (b) 2 (c) 9 (d) 4
  22. 22.What is the mean of 18, 7, 11, 9 and 10? (a) 10 (b) 11 (c) 13 (d) 12
  23. 23.What is the mode of 10, 12, 10, 4, 12, 6 and 12? (a) 6 (b) 12 (c) 4 (d) 10
  24. 24.What is the mean of 15, 9, 11 and 13? (a) 11 (b) 13 (c) 12 (d) 16
  25. 25.What is the mean of 8, 11, 17 and 20? (a) 14 (b) 15 (c) 16 (d) 13
  26. 26.What is the mode of 20, 20, 9, 3, 3, 20 and 10? (a) 10 (b) 20 (c) 9 (d) 3
  27. 27.What is the mean of 9, 2, 12, 2 and 5? (a) 5 (b) 6 (c) 7 (d) 8
  28. 28.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 36
  29. 29.What is the median of 37, 4, 7, 19, 10, 25 and 27? (a) 20 (b) 25 (c) 19 (d) 10
  30. 30.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 35
  31. 31.What is the mean of 14, 6, 14, 4, 4 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  32. 32.What is the median of 6, 36, 7, 9, 20, 21 and 10? (a) 10 (b) 9 (c) 11 (d) 20
  33. 33.What is the median of 25, 32, 11, 37 and 20? (a) 11 (b) 20 (c) 32 (d) 25
  34. 34.What is the mean of 7, 6, 15, 20 and 7? (a) 10 (b) 13 (c) 11 (d) 12
  35. 35.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 21 (b) 16 (c) 15 (d) 12
  36. 36.What is the mode of 5, 2, 17, 10, 5, 5 and 17? (a) 10 (b) 17 (c) 2 (d) 5
  37. 37.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 22
  38. 38.What is the median of 28, 31, 13, 5, 16, 1 and 24? (a) 5 (b) 16 (c) 13 (d) 24
  39. 39.What is the mode of 10, 3, 10, 17, 3, 9 and 3? (a) 10 (b) 9 (c) 3 (d) 17
  40. 40.What is the median of 14, 38, 34, 7 and 24? (a) 34 (b) 24 (c) 25 (d) 14

Answer key

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

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