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My Marvelous Project in Applied Math

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My Marvelous Project in Applied Math

  1. 1. Probability
  2. 2. <ul><li>Glue is a student in School A. </li></ul>
  3. 3. Glue is a student in School A. He has an average score of 90 percent.
  4. 4. Glue is a student in School A. He has an average score of 90 percent. His classmate Paint, Brush, Paper and Stand has score of : 83, 71, 69, 75
  5. 5. Glue is a student in School A. He has an average score of 90 percent. His classmate Paint, Brush, Paper and Stand has score of : 83, 71, 69, 75 School B has 5 students with score of : 85, 87, 81, 83 and 86.
  6. 6. Glue is a student in School A. He has an average score of 90 percent. His classmate Paint, Brush, Paper and Stand has score of : 83, 71, 69, 75 School B has 5 students with score of : 85, 87, 81, 83 and 86. Find the mean and standard deviation of each school?
  7. 7. Glue is a student in School A. He has an average score of 90 percent. His classmate Paint, Brush, Paper and Stand has score of : 83, 71, 69, 75 School B has 5 students with score of : 85, 87, 81, 83 and 86. Find the mean and standard deviation of each school? Which school has a better performance, School A or School B?
  8. 8. Glue is a student in School A. He has an average score of 90 percent. His classmate Paint, Brush, Paper and Stand has score of : 83, 71, 69, 75 School B has 5 students with score of : 85, 87, 81, 83 and 86. Find the mean and standard deviation of each school? Which school has a better performance, School A or School B? Solution
  9. 9. To find the mean:
  10. 10. To find the mean: First, you must add all the score of each school.
  11. 11. To find the mean: First, you must add all the score of each school. Second, divide it by the total score.
  12. 12. To find the mean: First, you must add all the score of each school. Second, divide it by the total score. School A has score of 90, 83, 71, 69, 75.
  13. 13. To find the mean: First, you must add all the score of each school. Second, divide it by the total score. School A has score of 90, 83, 71, 69, 75. - so by adding it all, it is equal to 388.
  14. 14. To find the mean: First, you must add all the score of each school. Second, divide it by the total score. School A has score of 90, 83, 71, 69, 75. - so by adding it all, it is equal to 388. - then divide it by 5, is equal to 77.6 .
  15. 15. Just the same as School B, it has score of :85, 87, 81, 83, 86.
  16. 16. Just the same as School B, it has score of :85, 87, 81, 83, 86. - so adding it all is equal to 422.
  17. 17. Just the same as School B, it has score of :85, 87, 81, 83, 86. - so adding it all is equal to 422. - divide it by 5 is equal to 84.4.
  18. 18. Standard Deviation
  19. 19. In finding the standard deviation:
  20. 20. In finding the standard deviation: First, subtract the scores to the mean and squared it like this:
  21. 21. In finding the standard deviation: First, subtract the scores to the mean and squared it like this:
  22. 22. In finding the standard deviation: Second, average the value and take the square root :
  23. 23. In finding the standard deviation: Second, average the value and take the square root : Standard Deviation
  24. 24. In finding the standard deviation: Second, average the value and take the square root : In finding the mean and Standard deviation in school B is just the same procedure in school A.
  25. 25. In finding the standard deviation: Second, average the value and take the square root : In finding the mean and Standard deviation in school B is just the same procedure in school A. - so, School B has mean of 84.4 and standard deviation of 2.154065923.
  26. 26. School A has : Mean = 77.6 Standard Deviation = 7.84 School B has : Mean = 84.4 Standard Deviation = 2.15
  27. 27. When it comes to performance, it depends:
  28. 28. When it comes to performance, it depends: - because when you ask who’s school has higher grade, School A has 90 percent and School B has only 87 percent.
  29. 29. When it comes to performance, it depends: - because when you ask who’s school has higher grade, School A has 90 percent and School B has only 87 percent. - in a matter of fact, when it comes to team work of grades School B would be the winner because of its standard deviation.
  30. 30. When it comes to performance, it depends: - because when you ask who’s school has higher grade, School A has 90 percent and School B has only 87 percent. - in a matter of fact, when it comes to team work of grades School B would be the winner because of its standard deviation. Standard Deviation tells how spread out the grades or very close to the same value or (the mean).

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