document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146490>Question 1146490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what z-score value identifies each of the following locations in a distribution?<BR>\n" );
document.write( "a. Above the mean by 2 standard deviation<BR>\n" );
document.write( "b. Below the mean by 1/2 standard deviation<BR>\n" );
document.write( "c. Above the mean by 1/4 standard deviation<BR>\n" );
document.write( "d. Below the mean by 3 standard deviation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767775 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the z-score itself tells you how many standard deviations you are above or below the mean.\r<BR>\n" );
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document.write( "2 above gives you a z-score of 2.<BR>\n" );
document.write( "1/2 below gives you a z-score of -.5<BR>\n" );
document.write( "1/4 above gives you a z-score of .25<BR>\n" );
document.write( "3 below gives you a z-score of -3.\r<BR>\n" );
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document.write( "you find this by translating the raw score to the z-score.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "if the mean is 100 and the standard deviation is 20, then 2 standard deviations above the mean should be equal to 140 and the z-score should be 2.\r<BR>\n" );
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document.write( "likewise, if the mean is 150 and the standard deviation is 5, then 2 standard deviations above the mean should be equal to 160 and the z-score should stil be 2.\r<BR>\n" );
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document.write( "the z-score formula is z = (x-m)/s\r<BR>\n" );
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document.write( "z is the z-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation, in this case.\r<BR>\n" );
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document.write( "when the mean is 100 and the standard deviation is 20, then z = (140 - 100) / 20 = 40 / 20 equals a z-score of 40/20 = 2.\r<BR>\n" );
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document.write( "when the mean is 115 and the standard deviation is 5, then z = (125-115) / 5 = 10 / 5 equals a z-score of 2.\r<BR>\n" );
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document.write( "the z-score itself tell you how many standard deviations you are above or below the mean.\r<BR>\n" );
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document.write( "if you're above the mean, the z-score will be positive.<BR>\n" );
document.write( "if you're below the mean, the z-score will be negative.<BR>\n" );
document.write( "a z-score of 0 tells you that you are at the mean.\r<BR>\n" );
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document.write( "two different sets of data can have the same z-score, even though the mean the standard deviation can be different.\r<BR>\n" );
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document.write( "using the z-score allows you to compare the two different data sets relative position of the raw score from the mean. </SPAN>\n" );
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