document.write( "Question 46743: 3a. If the standard deviation of a group of students’ test scores was calculated as 6.5 points and the mean of their distribution of scores was 75.5%, how many standard deviations was a student’s score who scored 80%?\r
\n" ); document.write( "\n" ); document.write( "3b. Using the data above in question 3a, calculate the student’s standardized Z score. Use the formula:\r
\n" ); document.write( "\n" ); document.write( " z =X-mean/s
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Algebra.Com's Answer #30942 by AnlytcPhil(1806) $\"\"$ $\"About$

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3a. If the standard deviation of a group of students’ test \r\n" );
document.write( "scores was calculated as 6.5 points and the mean of their \r\n" );
document.write( "distribution of scores was 75.5%, how many standard \r\n" );
document.write( "deviations was a student’s score who scored 80%?\r\n" );
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document.write( "3b.  Using the data above in question 3a, calculate the \r\n" );
document.write( "student’s standardized Z score.  Use the formula:\r\n" );
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document.write( "		z = (x - x)/s \r\n" );
document.write( "                     _ \r\n" );
document.write( "Just plug in x = 80, x = 75.5 and s = 6.5\r\n" );
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document.write( "                z = (80 - 75.5)/6.5\r\n" );
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document.write( "                z = 0.6923076923\r\n" );
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document.write( "which means that the student scored about 0.7 of a \r\n" );
document.write( "standard deviation above (since it's positive) the mean.\r\n" );
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document.write( "Edwin

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