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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 928 · 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 13, 22, 24, 32 and 5? (a) 23 (b) 13 (c) 22 (d) 24
  2. 2.What is the median of 8, 4, 3, 16, 40, 36 and 29? (a) 16 (b) 8 (c) 29 (d) 17
  3. 3.What is the mean of 17, 11, 18, 16, 5 and 5? (a) 14 (b) 13 (c) 11 (d) 12
  4. 4.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 24
  5. 5.The mean of 4 numbers is 16. When the number 21 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  6. 6.What is the median of 28, 20, 17, 36 and 4? (a) 17 (b) 20 (c) 28 (d) 21
  7. 7.The mean of 4 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 36 (b) 32 (c) 37 (d) 42
  8. 8.What is the mode of 2, 18, 3, 18, 8, 18 and 2? (a) 8 (b) 2 (c) 18 (d) 3
  9. 9.What is the median of 1, 39, 19, 12, 21, 14 and 4? (a) 19 (b) 12 (c) 15 (d) 14
  10. 10.What is the mean of 13, 10, 4 and 9? (a) 12 (b) 10 (c) 9 (d) 8
  11. 11.What is the median of 17, 10, 12, 5, 9, 2 and 13? (a) 5 (b) 12 (c) 9 (d) 10
  12. 12.What is the median of 5, 10, 22, 8 and 1? (a) 22 (b) 5 (c) 10 (d) 8
  13. 13.What is the mode of 1, 12, 18, 13, 12, 18 and 12? (a) 18 (b) 1 (c) 13 (d) 12
  14. 14.What is the mode of 5, 15, 18, 8, 15, 18 and 18? (a) 5 (b) 8 (c) 15 (d) 18
  15. 15.What is the mean of 14, 16, 12 and 6? (a) 16 (b) 13 (c) 11 (d) 12
  16. 16.The mean of 7 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 23 (b) 22 (c) 16 (d) 24
  17. 17.What is the median of 34, 19, 17, 1, 23, 31 and 11? (a) 1 (b) 23 (c) 17 (d) 19
  18. 18.The mean of 7 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 30
  19. 19.What is the mean of 12, 2, 6, 15, 5 and 20? (a) 12 (b) 9 (c) 11 (d) 10
  20. 20.What is the median of 4, 1, 11, 29 and 26? (a) 4 (b) 11 (c) 26 (d) 12
  21. 21.What is the median of 15, 8, 14, 2, 9, 10 and 7? (a) 10 (b) 2 (c) 9 (d) 8
  22. 22.What is the mean of 10, 14, 18 and 10? (a) 13 (b) 12 (c) 15 (d) 14
  23. 23.What is the median of 11, 15, 36, 34 and 25? (a) 25 (b) 34 (c) 36 (d) 15
  24. 24.What is the mean of 19, 7, 6, 16, 19 and 5? (a) 11 (b) 14 (c) 13 (d) 12
  25. 25.The mean of 6 numbers is 35. When the number 63 is added to them, what is the new mean? (a) 35 (b) 49 (c) 39 (d) 40
  26. 26.What is the mean of 20, 9, 15, 16, 16 and 8? (a) 13 (b) 12 (c) 14 (d) 15
  27. 27.What is the median of 11, 10, 9, 7, 33, 17 and 19? (a) 7 (b) 17 (c) 10 (d) 11
  28. 28.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 9 (c) 6 (d) 11
  29. 29.What is the mode of 11, 13, 7, 11, 19, 11 and 19? (a) 13 (b) 19 (c) 11 (d) 7
  30. 30.What is the median of 36, 22, 39, 20, 35, 24 and 1? (a) 20 (b) 22 (c) 24 (d) 35
  31. 31.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 23
  32. 32.What is the median of 14, 10, 11, 36, 20, 4 and 5? (a) 10 (b) 11 (c) 36 (d) 14
  33. 33.What is the mean of 19, 11, 6, 4 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  34. 34.What is the median of 15, 3, 35, 16 and 28? (a) 15 (b) 28 (c) 35 (d) 16
  35. 35.What is the median of 13, 33, 9, 5 and 1? (a) 10 (b) 5 (c) 13 (d) 9
  36. 36.What is the mean of 20, 5, 4 and 15? (a) 13 (b) 10 (c) 12 (d) 11
  37. 37.What is the mean of 19, 11, 13 and 17? (a) 20 (b) 16 (c) 15 (d) 12
  38. 38.What is the median of 38, 8, 40, 4 and 11? (a) 8 (b) 38 (c) 11 (d) 40
  39. 39.What is the mean of 11, 15, 15 and 19? (a) 16 (b) 20 (c) 12 (d) 15
  40. 40.What is the mean of 3, 16, 14, 15 and 12? (a) 15 (b) 13 (c) 10 (d) 12

Answer key

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

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