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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 675 · 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 3, 12, 5, 4 and 39? (a) 4 (b) 5 (c) 12 (d) 6
  2. 2.What is the mode of 8, 6, 8, 11, 9, 9 and 8? (a) 8 (b) 11 (c) 9 (d) 6
  3. 3.What is the mean of 10, 17, 3, 18 and 7? (a) 12 (b) 10 (c) 11 (d) 13
  4. 4.What is the median of 11, 7, 28, 24 and 36? (a) 11 (b) 28 (c) 24 (d) 25
  5. 5.What is the mode of 8, 5, 12, 1, 5, 5 and 1? (a) 5 (b) 1 (c) 8 (d) 12
  6. 6.What is the median of 19, 17, 10, 16 and 22? (a) 10 (b) 19 (c) 17 (d) 16
  7. 7.What is the mode of 13, 13, 6, 6, 13, 16 and 7? (a) 16 (b) 6 (c) 13 (d) 7
  8. 8.What is the mode of 12, 2, 1, 16, 16, 16 and 2? (a) 2 (b) 16 (c) 12 (d) 1
  9. 9.What is the median of 38, 5, 26, 4 and 2? (a) 5 (b) 26 (c) 4 (d) 15
  10. 10.What is the mean of 10, 20, 8, 14, 20 and 18? (a) 14 (b) 16 (c) 15 (d) 18
  11. 11.What is the median of 32, 12, 28, 7 and 3? (a) 28 (b) 13 (c) 12 (d) 7
  12. 12.What is the median of 20, 19, 4, 27 and 6? (a) 4 (b) 6 (c) 19 (d) 20
  13. 13.What is the mode of 1, 15, 18, 1, 9, 1 and 15? (a) 15 (b) 9 (c) 18 (d) 1
  14. 14.What is the mean of 11, 11, 17 and 9? (a) 12 (b) 13 (c) 11 (d) 16
  15. 15.What is the mean of 10, 8, 17 and 9? (a) 12 (b) 13 (c) 11 (d) 10
  16. 16.What is the mean of 9, 15, 8, 3, 7 and 18? (a) 12 (b) 9 (c) 11 (d) 10
  17. 17.What is the mean of 16, 2, 7 and 15? (a) 10 (b) 8 (c) 11 (d) 9
  18. 18.What is the mode of 18, 19, 1, 5, 18, 18 and 5? (a) 19 (b) 1 (c) 5 (d) 18
  19. 19.What is the mode of 1, 9, 5, 1, 18, 18 and 18? (a) 5 (b) 18 (c) 9 (d) 1
  20. 20.The mean of 9 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 39 (b) 31 (c) 32 (d) 29
  21. 21.What is the mean of 17, 2, 9, 16 and 16? (a) 12 (b) 15 (c) 13 (d) 10
  22. 22.What is the median of 32, 5, 13, 7 and 4? (a) 7 (b) 8 (c) 13 (d) 5
  23. 23.The mean of 9 numbers is 38. When the number 48 is added to them, what is the new mean? (a) 43 (b) 40 (c) 39 (d) 38
  24. 24.What is the median of 5, 14, 12, 35, 1, 39 and 27? (a) 27 (b) 35 (c) 19 (d) 14
  25. 25.The mean of 7 numbers is 26. When the number 58 is added to them, what is the new mean? (a) 42 (b) 31 (c) 30 (d) 26
  26. 26.What is the mean of 14, 16, 4, 6 and 10? (a) 10 (b) 11 (c) 12 (d) 9
  27. 27.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 23 (c) 22 (d) 24
  28. 28.What is the mode of 2, 14, 6, 6, 8, 14 and 6? (a) 6 (b) 14 (c) 2 (d) 8
  29. 29.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 15 (b) 16 (c) 25 (d) 11
  30. 30.What is the mean of 9, 8, 10 and 9? (a) 12 (b) 8 (c) 9 (d) 10
  31. 31.What is the median of 32, 26, 27, 6, 10, 7 and 19? (a) 10 (b) 6 (c) 26 (d) 19
  32. 32.What is the median of 5, 22, 8, 7 and 36? (a) 22 (b) 7 (c) 9 (d) 8
  33. 33.What is the mean of 10, 9, 7 and 14? (a) 11 (b) 9 (c) 8 (d) 10
  34. 34.What is the median of 32, 2, 16, 4, 22, 14 and 8? (a) 8 (b) 14 (c) 16 (d) 4
  35. 35.What is the mode of 19, 5, 5, 4, 20, 5 and 19? (a) 20 (b) 19 (c) 4 (d) 5
  36. 36.What is the mode of 3, 12, 3, 12, 7, 12 and 19? (a) 7 (b) 19 (c) 3 (d) 12
  37. 37.What is the mean of 2, 13, 14 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  38. 38.The mean of 7 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 31 (b) 23 (c) 26 (d) 25
  39. 39.What is the mean of 17, 2, 20 and 21? (a) 15 (b) 16 (c) 20 (d) 12
  40. 40.What is the mode of 12, 10, 12, 18, 10, 10 and 5? (a) 12 (b) 18 (c) 5 (d) 10

Answer key

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

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