document.write( "Question 551048: : A set of 50 data values has a mean of 15 and a variance of 25. Find the standard score of a data value = 30. \n" ); document.write( "
Algebra.Com's Answer #359317 by Edwin McCravy(20056)\"\" \"About 
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\n" ); document.write( "z = \"%28xbar+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29\" where \"sigma\" = \"sqrt%28variance%29\"\r
\n" ); document.write( "\n" ); document.write( "and where when n > 30, we use the approximation s ≈ \"sigma\".\r
\n" ); document.write( "\n" ); document.write( "So in this problem we use \"sigma\" ≈ s = \"sqrt%2825%29\" = 5\r
\n" ); document.write( "\n" ); document.write( "z = \"%28xbar+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29\" = \"%2830-15%29%2F%285%2Fsqrt%2850%29%29\" = 21.21320344.\r
\n" ); document.write( "\n" ); document.write( "That's an extremely high z-score but that's what you would
\n" ); document.write( "expect since 30 is so extremely far above the mean of 15.\r
\n" ); document.write( "\n" ); document.write( "Edwin
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