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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 596 · 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 40, 15, 27, 36 and 24? (a) 36 (b) 27 (c) 24 (d) 28
  2. 2.What is the mean of 18, 7, 4, 15 and 6? (a) 12 (b) 9 (c) 11 (d) 10
  3. 3.What is the mode of 14, 16, 15, 2, 16, 2 and 16? (a) 2 (b) 14 (c) 15 (d) 16
  4. 4.What is the mean of 5, 10, 4 and 13? (a) 10 (b) 8 (c) 7 (d) 9
  5. 5.What is the mode of 2, 14, 1, 14, 20, 1 and 1? (a) 2 (b) 20 (c) 14 (d) 1
  6. 6.What is the median of 28, 29, 20, 19 and 35? (a) 27 (b) 28 (c) 20 (d) 29
  7. 7.What is the mean of 3, 8, 17 and 4? (a) 8 (b) 10 (c) 7 (d) 9
  8. 8.What is the mode of 3, 7, 7, 3, 17, 15 and 7? (a) 7 (b) 15 (c) 17 (d) 3
  9. 9.What is the mode of 16, 5, 20, 18, 16, 16 and 5? (a) 18 (b) 16 (c) 5 (d) 20
  10. 10.What is the mode of 16, 7, 5, 5, 7, 7 and 10? (a) 16 (b) 7 (c) 10 (d) 5
  11. 11.What is the mode of 13, 15, 20, 15, 10, 15 and 20? (a) 10 (b) 15 (c) 13 (d) 20
  12. 12.What is the mean of 8, 19, 4, 19, 4 and 6? (a) 9 (b) 11 (c) 12 (d) 10
  13. 13.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 25
  14. 14.What is the mean of 11, 15, 14 and 8? (a) 16 (b) 13 (c) 12 (d) 11
  15. 15.What is the median of 33, 16, 4, 1 and 25? (a) 17 (b) 4 (c) 16 (d) 25
  16. 16.What is the median of 27, 8, 38, 34 and 6? (a) 8 (b) 34 (c) 38 (d) 27
  17. 17.What is the mode of 4, 2, 20, 10, 20, 20 and 10? (a) 4 (b) 10 (c) 20 (d) 2
  18. 18.What is the median of 9, 11, 22, 29, 18, 24 and 21? (a) 21 (b) 18 (c) 22 (d) 29
  19. 19.What is the mean of 19, 10, 3 and 12? (a) 11 (b) 12 (c) 10 (d) 13
  20. 20.What is the mode of 15, 19, 15, 19, 16, 18 and 19? (a) 15 (b) 19 (c) 16 (d) 18
  21. 21.What is the mean of 14, 18, 13 and 23? (a) 17 (b) 19 (c) 16 (d) 18
  22. 22.What is the mean of 16, 9, 18, 17, 7 and 5? (a) 12 (b) 13 (c) 11 (d) 14
  23. 23.What is the median of 10, 37, 4, 29 and 11? (a) 11 (b) 29 (c) 4 (d) 10
  24. 24.What is the median of 30, 22, 34, 15, 26, 7 and 25? (a) 22 (b) 26 (c) 15 (d) 25
  25. 25.What is the median of 16, 18, 8, 36 and 6? (a) 16 (b) 8 (c) 17 (d) 18
  26. 26.What is the mean of 6, 11, 17, 15, 2 and 3? (a) 10 (b) 9 (c) 8 (d) 11
  27. 27.What is the mode of 5, 3, 1, 1, 1, 14 and 3? (a) 14 (b) 1 (c) 5 (d) 3
  28. 28.What is the mean of 11, 13, 18 and 2? (a) 10 (b) 11 (c) 12 (d) 13
  29. 29.What is the mode of 4, 15, 3, 2, 15, 4 and 4? (a) 3 (b) 4 (c) 15 (d) 2
  30. 30.What is the mode of 12, 13, 20, 13, 4, 13 and 4? (a) 13 (b) 4 (c) 12 (d) 20
  31. 31.What is the median of 38, 17, 10, 7 and 25? (a) 10 (b) 18 (c) 25 (d) 17
  32. 32.What is the mean of 14, 13, 14, 20 and 19? (a) 20 (b) 17 (c) 16 (d) 15
  33. 33.What is the mode of 2, 11, 9, 11, 10, 10 and 11? (a) 11 (b) 2 (c) 10 (d) 9
  34. 34.What is the mean of 3, 2, 7, 13 and 15? (a) 7 (b) 8 (c) 9 (d) 10
  35. 35.The mean of 7 numbers is 39. When the number 7 is added to them, what is the new mean? (a) 39 (b) 36 (c) 35 (d) 23
  36. 36.The mean of 5 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 18
  37. 37.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 16
  38. 38.What is the mean of 6, 17, 9, 3, 5 and 14? (a) 9 (b) 11 (c) 8 (d) 10
  39. 39.What is the mode of 12, 12, 11, 11, 3, 5 and 11? (a) 3 (b) 11 (c) 5 (d) 12
  40. 40.What is the median of 20, 7, 38, 25 and 15? (a) 38 (b) 25 (c) 21 (d) 20

Answer key

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

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