document.write( "Question 548423: Empirical rule, I am having difficulty working all the steps. If someone could show each step it would be very helpful.\r
\n" ); document.write( "\n" ); document.write( "At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?\r
\n" ); document.write( "\n" ); document.write( "a)84.13% b)99.74% c) 68.26% d) 95.44%\r
\n" ); document.write( "\n" ); document.write( "I choose answer A, but am not sure how I came up with that answer after working problem. I have not been in school in 25 years and have never done this kind of math. Any help you provide would be greatly appriciated.\r
\n" ); document.write( "\n" ); document.write( "Wanda Dennis
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Algebra.Com's Answer #356985 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
At one college GPA's are normally distributed with a mean of 2.8 and a standard deviation of .5. What percentage of students at the college have a GPA between 2.3 and 3.3?
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\n" ); document.write( "How far is 2.3 from 2.8? answer is (2.3-2.8) = -0.5
\n" ); document.write( "That means 2.3 is one standard deviation to the left of the mean.
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\n" ); document.write( "How far is 3.3 from 2.8? answer is (3.3-2.8) = 0.5
\n" ); document.write( "That means 3.3 is one standard deviation to the right of the mean.
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\n" ); document.write( "According to the empirical rule 68% of normally distributed
\n" ); document.write( "data is within 1 standard deviation of the mean.
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\n" ); document.write( "So your answer should be \"C\".
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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\n" ); document.write( "a)84.13% b)99.74% c) 68.26% d) 95.44%
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