document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178753>Question 178753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Below are the times (in days) it takes for a sample of 5 customers from Jack's computer store to pay their invoices. \r<BR>\n" );
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document.write( "44,41,20,24,41\r<BR>\n" );
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document.write( "  Find the standard deviation of this sample of times. Round your answer to at least two decimal places.\r<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 #133750 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the average.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bave%5D=%2844%2B41%2B20%2B24%2B41%29%2F5=34 ALIGN=MIDDLE  ALT=\"x%5Bave%5D=%2844%2B41%2B20%2B24%2B41%29%2F5=34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now for each sample, find the difference between the value and the average.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D-x%5Bave%5D=+44-34=10 ALIGN=MIDDLE  ALT=\"x%5B1%5D-x%5Bave%5D=+44-34=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > then square it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D-x%5Bave%5D=+41-34=7 ALIGN=MIDDLE  ALT=\"x%5B2%5D-x%5Bave%5D=+41-34=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > then square it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49 ALIGN=MIDDLE  ALT=\"49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D-x%5Bave%5D=+20-34=-14 ALIGN=MIDDLE  ALT=\"x%5B3%5D-x%5Bave%5D=+20-34=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > then square it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256 ALIGN=MIDDLE  ALT=\"256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B4%5D-x%5Bave%5D=+24-34=-10 ALIGN=MIDDLE  ALT=\"x%5B4%5D-x%5Bave%5D=+24-34=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > then square it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B5%5D-x%5Bave%5D=+41-34=7 ALIGN=MIDDLE  ALT=\"x%5B5%5D-x%5Bave%5D=+41-34=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > then square it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49 ALIGN=MIDDLE  ALT=\"49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum those values,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2B49%2B256%2B100%2B49=494 ALIGN=MIDDLE  ALT=\"100%2B49%2B256%2B100%2B49=494\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The standard deviation is then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SD=sqrt%28%28sum%28%28x-x%5Bave%5D%29%5E2%29%29%2F%28n%29%29=sqrt%28494%2F%285%29%29=9.94 ALIGN=MIDDLE  ALT=\"SD=sqrt%28%28sum%28%28x-x%5Bave%5D%29%5E2%29%29%2F%28n%29%29=sqrt%28494%2F%285%29%29=9.94\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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