document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360765>Question 360765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If heights of individual women are expressed in units of centimeters, what are the units used for the z-scores that correspond to individual heights?\r<BR>\n" );
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document.write( " A. centimeters <BR>\n" );
document.write( " B. It depends on the units of the mean and standard deviation. <BR>\n" );
document.write( " C. z-scores have no units. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #257445 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=257445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that the z score is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%28x-mu%29%2F%28sigma%29 ALIGN=MIDDLE  ALT=\"z=%28x-mu%29%2F%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The units for both x and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > are in centimeters. So the units for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-mu ALIGN=MIDDLE  ALT=\"x-mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > are in centimeters. Also, the units for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma ALIGN=MIDDLE  ALT=\"sigma\"   DISABLED_style= \"max-width:90%; height:auto;\" > are in centimeters. So the units will cancel for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-mu%29%2F%28sigma%29 ALIGN=MIDDLE  ALT=\"%28x-mu%29%2F%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means that the z-score has no units. </SPAN>\n" );
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