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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 927 · 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 28, 4, 38, 12, 8, 14 and 35? (a) 28 (b) 15 (c) 14 (d) 12
  2. 2.What is the mean of 11, 14, 18, 14, 14 and 7? (a) 14 (b) 13 (c) 12 (d) 15
  3. 3.What is the mean of 6, 11, 8, 17 and 8? (a) 11 (b) 9 (c) 12 (d) 10
  4. 4.What is the median of 34, 39, 10, 22, 36, 32 and 5? (a) 33 (b) 32 (c) 34 (d) 22
  5. 5.What is the mean of 11, 3, 13, 19, 20 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  6. 6.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 15
  7. 7.What is the mean of 6, 13, 19, 20 and 7? (a) 13 (b) 12 (c) 14 (d) 15
  8. 8.What is the median of 6, 12, 10, 1, 39, 37 and 19? (a) 12 (b) 10 (c) 19 (d) 1
  9. 9.What is the mean of 16, 20, 15, 5 and 14? (a) 16 (b) 15 (c) 14 (d) 13
  10. 10.What is the median of 5, 19, 8, 27 and 37? (a) 8 (b) 20 (c) 27 (d) 19
  11. 11.What is the mean of 14, 16, 18, 7 and 10? (a) 15 (b) 12 (c) 14 (d) 13
  12. 12.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 29
  13. 13.What is the median of 12, 27, 18, 29, 19, 10 and 13? (a) 13 (b) 18 (c) 29 (d) 19
  14. 14.What is the median of 29, 7, 34, 36, 33, 18 and 31? (a) 33 (b) 31 (c) 29 (d) 36
  15. 15.What is the median of 34, 8, 40, 16 and 12? (a) 22 (b) 34 (c) 16 (d) 40
  16. 16.What is the median of 5, 10, 40, 33 and 4? (a) 33 (b) 40 (c) 10 (d) 5
  17. 17.What is the mean of 6, 20, 12 and 10? (a) 16 (b) 12 (c) 11 (d) 13
  18. 18.What is the median of 33, 37, 34, 17, 21, 36 and 4? (a) 17 (b) 26 (c) 34 (d) 33
  19. 19.What is the mean of 4, 3, 18, 6 and 19? (a) 11 (b) 9 (c) 12 (d) 10
  20. 20.The mean of 6 numbers is 22. When the number 50 is added to them, what is the new mean? (a) 27 (b) 26 (c) 36 (d) 22
  21. 21.What is the mode of 2, 10, 1, 2, 20, 2 and 1? (a) 2 (b) 1 (c) 10 (d) 20
  22. 22.What is the median of 11, 22, 39, 19 and 25? (a) 39 (b) 25 (c) 19 (d) 22
  23. 23.What is the median of 15, 38, 9, 19, 7, 8 and 24? (a) 9 (b) 19 (c) 15 (d) 16
  24. 24.What is the mean of 17, 11, 4, 2 and 16? (a) 11 (b) 12 (c) 9 (d) 10
  25. 25.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
  26. 26.What is the mode of 16, 16, 1, 16, 4, 2 and 4? (a) 2 (b) 4 (c) 1 (d) 16
  27. 27.The mean of 3 numbers is 20. When the number 28 is added to them, what is the new mean? (a) 20 (b) 24 (c) 23 (d) 22
  28. 28.What is the median of 31, 30, 19, 37, 14, 2 and 27? (a) 30 (b) 27 (c) 37 (d) 19
  29. 29.What is the mean of 10, 20, 3 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  30. 30.What is the mode of 19, 15, 6, 19, 6, 16 and 6? (a) 15 (b) 16 (c) 19 (d) 6
  31. 31.What is the mode of 20, 20, 2, 20, 16, 6 and 6? (a) 2 (b) 20 (c) 6 (d) 16
  32. 32.What is the median of 15, 13, 5, 1, 17, 6 and 20? (a) 13 (b) 15 (c) 1 (d) 11
  33. 33.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 17
  34. 34.What is the mean of 10, 10, 20, 7 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  35. 35.What is the mean of 2, 6, 8 and 12? (a) 9 (b) 6 (c) 7 (d) 8
  36. 36.What is the mode of 15, 12, 10, 12, 3, 10 and 12? (a) 10 (b) 12 (c) 3 (d) 15
  37. 37.What is the mode of 2, 7, 11, 2, 7, 13 and 7? (a) 2 (b) 7 (c) 13 (d) 11
  38. 38.What is the mode of 4, 9, 9, 17, 4, 4 and 19? (a) 4 (b) 9 (c) 17 (d) 19
  39. 39.What is the mode of 2, 5, 19, 5, 2, 2 and 7? (a) 7 (b) 19 (c) 5 (d) 2
  40. 40.What is the mean of 6, 10, 3, 10, 2 and 11? (a) 7 (b) 9 (c) 6 (d) 8

Answer key

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

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