document.write( "Question 623802: A distribution has a standard deviation of   12.
\n" ); document.write( "Find the z-score for each of the following locations in
\n" ); document.write( "the distribution.
\n" ); document.write( "a. Above the mean by 3 points.
\n" ); document.write( "b. Above the mean by 12 points.
\n" ); document.write( "c. Below the mean by 24 points.
\n" ); document.write( "d. Below the mean by 18 points.\r
\n" ); document.write( "\n" ); document.write( "I understand that z= (data point- mean)/standard deviation.
\n" ); document.write( "What I got so far for a. is...
\n" ); document.write( " 100(because z-scores=100)= x-3/12
\n" ); document.write( "Do I solve for x and that is the answer?
\n" ); document.write( "

Algebra.Com's Answer #392391 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "A distribution has a standard deviation of   12.
\n" ); document.write( " Find the z-score for each of the following locations in the distribution.
\n" ); document.write( "yes: z= (data point- mean)/standard deviation.
\n" ); document.write( " a. Above the mean by 3 points. z = 3/12 = 1/4
\n" ); document.write( " b. Above the mean by 12 points. z = 12/12 = 1
\n" ); document.write( " c. Below the mean by 24 points. z = -24/12 = -2
\n" ); document.write( " d. Below the mean by 18 points. z = -18/12 = -3/2
\n" ); document.write( "Important to Understand z -values as they relate to the Standard Normal curve:
\n" ); document.write( "Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
\n" ); document.write( "Note: z = 0 (x-value = the mean) 50% of the area under the curve is to the left and %50 to the right
\n" ); document.write( "
\n" ); document.write( "For the normal distribution:
\n" ); document.write( "one standard deviation from the mean accounts for about 68.2% of the set
\n" ); document.write( "two standard deviations from the mean account for about 95.5%
\n" ); document.write( "and three standard deviations from the mean account for about 99.7%.
\n" ); document.write( " \n" ); document.write( "
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