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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 910 · 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 15, 29, 22, 9 and 12? (a) 12 (b) 16 (c) 15 (d) 22
  2. 2.What is the mode of 14, 15, 13, 14, 15, 10 and 14? (a) 15 (b) 10 (c) 13 (d) 14
  3. 3.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 40 (b) 47 (c) 43 (d) 42
  4. 4.What is the mean of 6, 16, 13 and 17? (a) 12 (b) 15 (c) 13 (d) 14
  5. 5.What is the mean of 2, 15, 6, 10 and 22? (a) 10 (b) 13 (c) 12 (d) 11
  6. 6.What is the median of 15, 12, 37, 22 and 18? (a) 18 (b) 37 (c) 22 (d) 15
  7. 7.What is the mean of 4, 8, 3, 16 and 9? (a) 8 (b) 9 (c) 7 (d) 10
  8. 8.What is the mode of 13, 8, 13, 8, 13, 11 and 7? (a) 13 (b) 7 (c) 11 (d) 8
  9. 9.What is the mean of 20, 15, 20, 5 and 20? (a) 16 (b) 20 (c) 17 (d) 15
  10. 10.What is the mean of 6, 13, 16 and 21? (a) 15 (b) 13 (c) 16 (d) 14
  11. 11.What is the mean of 17, 3, 2, 6, 6 and 14? (a) 10 (b) 9 (c) 8 (d) 7
  12. 12.The mean of 5 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 38 (b) 29 (c) 36 (d) 35
  13. 13.What is the median of 6, 2, 18, 29 and 40? (a) 18 (b) 6 (c) 29 (d) 19
  14. 14.What is the mode of 6, 2, 4, 6, 4, 9 and 4? (a) 2 (b) 9 (c) 4 (d) 6
  15. 15.What is the median of 29, 8, 16, 19 and 14? (a) 16 (b) 17 (c) 19 (d) 14
  16. 16.What is the mean of 15, 12, 15, 19 and 19? (a) 16 (b) 15 (c) 17 (d) 20
  17. 17.What is the median of 33, 19, 6, 23 and 11? (a) 23 (b) 6 (c) 19 (d) 11
  18. 18.What is the mean of 17, 18, 17, 12 and 21? (a) 17 (b) 18 (c) 19 (d) 16
  19. 19.What is the mode of 1, 7, 20, 18, 7, 18 and 18? (a) 1 (b) 18 (c) 20 (d) 7
  20. 20.What is the median of 22, 19, 2, 3 and 12? (a) 3 (b) 19 (c) 12 (d) 2
  21. 21.What is the mode of 10, 4, 5, 4, 5, 5 and 7? (a) 10 (b) 5 (c) 7 (d) 4
  22. 22.What is the mode of 8, 8, 12, 10, 12, 16 and 12? (a) 16 (b) 10 (c) 8 (d) 12
  23. 23.What is the median of 2, 9, 33, 7 and 1? (a) 2 (b) 7 (c) 9 (d) 33
  24. 24.What is the median of 8, 40, 27, 28 and 11? (a) 11 (b) 27 (c) 28 (d) 26
  25. 25.What is the median of 33, 14, 20, 6, 16, 1 and 21? (a) 6 (b) 16 (c) 14 (d) 20
  26. 26.The mean of 6 numbers is 11. When the number 25 is added to them, what is the new mean? (a) 18 (b) 14 (c) 13 (d) 11
  27. 27.What is the mode of 4, 4, 7, 18, 4, 18 and 3? (a) 18 (b) 4 (c) 7 (d) 3
  28. 28.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 9 (b) 13 (c) 14 (d) 12
  29. 29.What is the median of 29, 35, 9, 3 and 4? (a) 9 (b) 29 (c) 16 (d) 4
  30. 30.The mean of 9 numbers is 15. When the number 45 is added to them, what is the new mean? (a) 18 (b) 19 (c) 30 (d) 15
  31. 31.What is the mode of 8, 11, 20, 9, 9, 11 and 9? (a) 20 (b) 11 (c) 9 (d) 8
  32. 32.What is the mean of 7, 18, 6 and 13? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 37 (b) 30 (c) 28 (d) 31
  34. 34.What is the median of 5, 7, 6, 37, 25, 15 and 20? (a) 20 (b) 7 (c) 15 (d) 37
  35. 35.What is the median of 39, 18, 16, 31 and 2? (a) 19 (b) 16 (c) 18 (d) 31
  36. 36.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 10
  37. 37.What is the mean of 12, 11, 6, 13, 17 and 13? (a) 13 (b) 12 (c) 11 (d) 14
  38. 38.What is the mode of 4, 3, 17, 4, 17, 5 and 4? (a) 4 (b) 5 (c) 17 (d) 3
  39. 39.What is the median of 19, 30, 38, 27 and 20? (a) 20 (b) 38 (c) 27 (d) 30
  40. 40.What is the mean of 15, 11, 9, 13 and 17? (a) 13 (b) 15 (c) 14 (d) 12

Answer key

  1. 15
  2. 14
  3. 42
  4. 13
  5. 11
  6. 18
  7. 8
  8. 13
  9. 16
  10. 14
  11. 8
  12. 35
  13. 18
  14. 4
  15. 16
  16. 16
  17. 19
  18. 17
  19. 18
  20. 12
  21. 5
  22. 12
  23. 7
  24. 27
  25. 16
  26. 13
  27. 4
  28. 13
  29. 9
  30. 18
  31. 9
  32. 11
  33. 30
  34. 15
  35. 18
  36. 12
  37. 12
  38. 4
  39. 27
  40. 13

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