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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 979 · 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 mode of 18, 18, 3, 5, 13, 13 and 13? (a) 13 (b) 5 (c) 18 (d) 3
  2. 2.The mean of 4 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 9 (c) 11 (d) 6
  3. 3.What is the mode of 18, 1, 18, 2, 12, 12 and 18? (a) 18 (b) 2 (c) 1 (d) 12
  4. 4.What is the median of 26, 30, 14, 22 and 9? (a) 23 (b) 26 (c) 14 (d) 22
  5. 5.What is the mode of 13, 9, 4, 9, 9, 15 and 13? (a) 15 (b) 4 (c) 9 (d) 13
  6. 6.The mean of 6 numbers is 23. When the number 9 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 16
  7. 7.What is the mode of 19, 14, 19, 5, 12, 12 and 19? (a) 5 (b) 14 (c) 19 (d) 12
  8. 8.What is the mean of 13, 9, 8, 17, 15 and 4? (a) 10 (b) 13 (c) 12 (d) 11
  9. 9.What is the mean of 9, 9, 20 and 22? (a) 15 (b) 16 (c) 20 (d) 12
  10. 10.What is the mean of 6, 15, 7, 3, 2 and 15? (a) 7 (b) 9 (c) 8 (d) 10
  11. 11.The mean of 8 numbers is 33. When the number 60 is added to them, what is the new mean? (a) 36 (b) 33 (c) 37 (d) 35
  12. 12.What is the mean of 13, 14, 11 and 18? (a) 16 (b) 15 (c) 14 (d) 13
  13. 13.What is the mode of 1, 11, 7, 1, 11, 3 and 1? (a) 3 (b) 11 (c) 1 (d) 7
  14. 14.What is the mean of 10, 19, 3 and 4? (a) 9 (b) 12 (c) 10 (d) 8
  15. 15.What is the mean of 13, 3, 4, 9, 2 and 17? (a) 10 (b) 8 (c) 9 (d) 7
  16. 16.What is the median of 33, 18, 2, 29 and 30? (a) 18 (b) 30 (c) 29 (d) 2
  17. 17.What is the mean of 19, 16, 15 and 14? (a) 18 (b) 17 (c) 15 (d) 16
  18. 18.What is the median of 35, 27, 13, 39 and 23? (a) 35 (b) 13 (c) 23 (d) 27
  19. 19.What is the mean of 14, 5, 5, 15 and 6? (a) 8 (b) 9 (c) 11 (d) 10
  20. 20.What is the median of 38, 6, 34, 11, 4, 39 and 13? (a) 13 (b) 34 (c) 14 (d) 11
  21. 21.What is the median of 38, 18, 40, 13 and 30? (a) 38 (b) 30 (c) 18 (d) 40
  22. 22.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 17 (c) 22 (d) 21
  23. 23.What is the median of 13, 4, 7, 2, 19, 22 and 17? (a) 2 (b) 17 (c) 12 (d) 13
  24. 24.What is the median of 7, 10, 9, 11 and 15? (a) 10 (b) 11 (c) 9 (d) 12
  25. 25.What is the median of 21, 8, 34, 3, 5, 22 and 28? (a) 8 (b) 22 (c) 21 (d) 3
  26. 26.What is the mode of 2, 8, 4, 17, 2, 2 and 4? (a) 17 (b) 2 (c) 8 (d) 4
  27. 27.What is the mean of 19, 17, 8, 3, 16 and 9? (a) 11 (b) 14 (c) 12 (d) 13
  28. 28.What is the mean of 4, 9, 3, 8 and 11? (a) 6 (b) 8 (c) 7 (d) 9
  29. 29.What is the mean of 7, 14, 3, 15, 11 and 16? (a) 11 (b) 10 (c) 12 (d) 13
  30. 30.What is the mode of 7, 7, 2, 6, 2, 2 and 14? (a) 14 (b) 7 (c) 6 (d) 2
  31. 31.What is the mode of 20, 20, 4, 20, 6, 4 and 14? (a) 4 (b) 6 (c) 20 (d) 14
  32. 32.What is the median of 4, 24, 19, 6 and 7? (a) 19 (b) 12 (c) 6 (d) 7
  33. 33.What is the mean of 20, 8, 5, 7, 7 and 7? (a) 9 (b) 10 (c) 11 (d) 8
  34. 34.What is the mean of 16, 11, 17, 20, 15 and 17? (a) 17 (b) 15 (c) 16 (d) 18
  35. 35.What is the mean of 9, 5, 18 and 16? (a) 11 (b) 12 (c) 16 (d) 13
  36. 36.What is the mean of 16, 14, 17, 7, 18 and 18? (a) 18 (b) 16 (c) 14 (d) 15
  37. 37.What is the mean of 18, 18, 3, 18, 8 and 19? (a) 13 (b) 15 (c) 14 (d) 12
  38. 38.What is the mean of 15, 3, 4 and 14? (a) 12 (b) 8 (c) 9 (d) 10
  39. 39.What is the median of 22, 40, 8, 38 and 12? (a) 24 (b) 8 (c) 22 (d) 38
  40. 40.What is the mean of 5, 13, 17, 8, 12 and 17? (a) 14 (b) 12 (c) 13 (d) 11

Answer key

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

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