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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 975 · 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 mean of 19, 2, 15, 6 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  2. 2.What is the mean of 20, 19, 2, 19 and 5? (a) 15 (b) 13 (c) 14 (d) 12
  3. 3.What is the mean of 17, 12, 2 and 9? (a) 10 (b) 11 (c) 9 (d) 8
  4. 4.What is the mode of 13, 9, 9, 4, 8, 4 and 9? (a) 4 (b) 9 (c) 13 (d) 8
  5. 5.What is the mode of 13, 6, 6, 14, 7, 14 and 14? (a) 14 (b) 7 (c) 13 (d) 6
  6. 6.What is the median of 35, 31, 10, 3 and 5? (a) 11 (b) 31 (c) 5 (d) 10
  7. 7.What is the median of 22, 13, 34, 17, 28, 21 and 37? (a) 17 (b) 28 (c) 22 (d) 21
  8. 8.What is the mean of 6, 13, 14 and 15? (a) 16 (b) 13 (c) 11 (d) 12
  9. 9.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 36
  10. 10.What is the mean of 6, 6, 3 and 13? (a) 6 (b) 7 (c) 9 (d) 8
  11. 11.What is the mode of 5, 2, 18, 3, 3, 3 and 5? (a) 2 (b) 3 (c) 18 (d) 5
  12. 12.What is the mean of 13, 10, 14 and 23? (a) 20 (b) 12 (c) 15 (d) 16
  13. 13.What is the mean of 17, 15, 6, 12, 3 and 19? (a) 11 (b) 13 (c) 14 (d) 12
  14. 14.What is the mode of 7, 16, 7, 19, 8, 16 and 7? (a) 8 (b) 16 (c) 19 (d) 7
  15. 15.What is the mean of 4, 7, 12, 13 and 14? (a) 12 (b) 9 (c) 11 (d) 10
  16. 16.What is the mean of 4, 9, 4 and 19? (a) 10 (b) 8 (c) 12 (d) 9
  17. 17.What is the mode of 2, 10, 16, 2, 12, 2 and 16? (a) 10 (b) 12 (c) 16 (d) 2
  18. 18.What is the mean of 9, 19, 6 and 6? (a) 9 (b) 10 (c) 11 (d) 8
  19. 19.What is the mean of 9, 4, 19, 14, 15 and 5? (a) 10 (b) 12 (c) 13 (d) 11
  20. 20.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 24 (c) 22 (d) 23
  21. 21.What is the mean of 4, 3, 14, 2 and 12? (a) 6 (b) 7 (c) 8 (d) 9
  22. 22.What is the mode of 3, 9, 9, 3, 9, 4 and 5? (a) 5 (b) 3 (c) 4 (d) 9
  23. 23.What is the mode of 4, 7, 5, 4, 5, 2 and 5? (a) 7 (b) 2 (c) 4 (d) 5
  24. 24.What is the mode of 15, 15, 20, 20, 5, 17 and 20? (a) 17 (b) 20 (c) 5 (d) 15
  25. 25.What is the mode of 11, 13, 20, 20, 17, 13 and 13? (a) 20 (b) 13 (c) 11 (d) 17
  26. 26.What is the mode of 7, 2, 4, 11, 11, 4 and 11? (a) 2 (b) 11 (c) 4 (d) 7
  27. 27.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 13 (b) 10 (c) 11 (d) 12
  28. 28.What is the mode of 15, 14, 5, 20, 5, 5 and 15? (a) 20 (b) 15 (c) 14 (d) 5
  29. 29.What is the mean of 2, 13, 13, 16, 16 and 12? (a) 12 (b) 13 (c) 14 (d) 11
  30. 30.What is the mean of 18, 16, 20, 7 and 19? (a) 17 (b) 15 (c) 20 (d) 16
  31. 31.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 14
  32. 32.What is the mode of 4, 10, 10, 5, 5, 6 and 5? (a) 6 (b) 5 (c) 4 (d) 10
  33. 33.What is the median of 18, 10, 11, 31 and 23? (a) 11 (b) 19 (c) 18 (d) 23
  34. 34.What is the mode of 10, 20, 4, 10, 20, 9 and 10? (a) 20 (b) 4 (c) 10 (d) 9
  35. 35.What is the median of 31, 14, 3, 24, 36, 5 and 15? (a) 24 (b) 15 (c) 14 (d) 16
  36. 36.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  37. 37.What is the median of 3, 6, 2, 34 and 21? (a) 21 (b) 6 (c) 3 (d) 2
  38. 38.What is the mode of 3, 3, 20, 11, 20, 7 and 3? (a) 3 (b) 20 (c) 7 (d) 11
  39. 39.What is the mean of 11, 14, 13, 5 and 17? (a) 15 (b) 13 (c) 12 (d) 10
  40. 40.What is the mean of 19, 4, 11, 4 and 2? (a) 8 (b) 7 (c) 10 (d) 9

Answer key

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

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