document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411595>Question 411595</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of 50 data values has a mean of 15 and a variance of 36.  Find the standard score of a data value = 20. I do not understand the steps to figure this our. can you please assist me. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289292 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A set of 50 data values has a mean of 15 and a variance of 36. Find the standard score of a data value = 20<BR>\n" );
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document.write( "How far is 20 from the mean?<BR>\n" );
document.write( "20-15 = 5<BR>\n" );
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document.write( "How many standard deviations is that?<BR>\n" );
document.write( "5/sqrt(36) = 5/6 = 0.8333<BR>\n" );
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document.write( "That is the z-score for 20. <BR>\n" );
document.write( "That is the standard score.<BR>\n" );
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document.write( "In general, the z score for a data value<BR>\n" );
document.write( "is z(x) = (x-u)/std<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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