statistics

Every year thousands of students take the SAT'S. RECENT TRENDS SHOW THAT THE SCORES ON THE VERBAL SECTION FOLLOW AN APPROX. NORMAL DISTRIBUTION WITH MEAN 550 AND STANDARD DEVIATION OF 110

68.26% OF THE STUDENTS WHO TAKE THE SAT VERBAL SCORE BETWEEN ______ AND _____
95.44% OF STUDENTS WHO TAKE THE SAT VERBAL SCORE BETWEEN ____ AND ____
99.74 % OF THE STUDENTS WHO TAKE THE SAT VERBAL SCORE BETWEEN ____AND ____

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asked by todd
  1. You have the mean 550 which is in the center of the normal distribution curve. and standard deviation is 110 which is how far the score is away from the mean.

    The question is asking you for 68.26, 95.44 and 99.74 percents and is demonstrated by the emperical rule that 68.26% is one standard deviation away from the mean, 95.44% is 2 standard deviations away from the mean and 99.74% is 3 standard deviations away from the mean.

    so, 68.26% wud just be 550+or- 110, or between 440 and 660

    95.44% is 2 standard deviations away from the mean so it wud be 550+or-2(110) or between 330 and 770

    finally the 99.74% is 3 standard deviations away from the mean so it wud be 550+or-3(110) or between 220 and 880 (which doesn't make sense cuz no one can get 880 on a verbal sat score) :D

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    posted by Tarun

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