document.write( "Question 578618: A set of data is normally distributed with a mean of 500 and standard deviation of 100. \r
\n" ); document.write( "\n" ); document.write( "What would be the standard score for a score of 400?
\n" ); document.write( "What percentage of scores is between 500 and 400?
\n" ); document.write( "What would be the percentile rank for a score of 400?
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Algebra.Com's Answer #370722 by stanbon(75887)\"\" \"About 
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A set of data is normally distributed with a mean of 500 and standard deviation of 100.
\n" ); document.write( "What would be the standard score for a score of 400?
\n" ); document.write( "z(400) = (400-500)/100 = -1
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\n" ); document.write( "What percentage of scores is between 500 and 400?
\n" ); document.write( "P(400< x <500) = P(-1< z < 0) = 0.3413
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\n" ); document.write( "What would be the percentile rank for a score of 400?
\n" ); document.write( "The left tail of z = -1 = normalcdf(-100,-1) = 0.1587 = 16%ile when rounded up.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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