document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114498>Question 114498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the standard deviation for the following data set:         16, 35, 25, 29, 26, 30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83354 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=83354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First step, find the mean (average),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%2816%2B35%2B25%2B29%2B26%2B30%29%2F6 ALIGN=MIDDLE  ALT=\"A=%2816%2B35%2B25%2B29%2B26%2B30%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=26.83 ALIGN=MIDDLE  ALT=\"A=26.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next find the deviation of each value from the mean,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D=16-26.83=-10.83 ALIGN=MIDDLE  ALT=\"d%5B1%5D=16-26.83=-10.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D=35-26.83=8.17 ALIGN=MIDDLE  ALT=\"d%5B2%5D=35-26.83=8.17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B3%5D=25-26.83=-1.83 ALIGN=MIDDLE  ALT=\"d%5B3%5D=25-26.83=-1.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D=29-26.83=2.17 ALIGN=MIDDLE  ALT=\"d%5B4%5D=29-26.83=2.17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D=26-26.83=-0.83 ALIGN=MIDDLE  ALT=\"d%5B5%5D=26-26.83=-0.83\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D=30-26.83=3.17 ALIGN=MIDDLE  ALT=\"d%5B6%5D=30-26.83=3.17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then square the deviations,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D%5E2=117.4 ALIGN=MIDDLE  ALT=\"d%5B1%5D%5E2=117.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D%5E2=66.7 ALIGN=MIDDLE  ALT=\"d%5B2%5D%5E2=66.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B3%5D%5E2=3.4 ALIGN=MIDDLE  ALT=\"d%5B3%5D%5E2=3.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B4%5D%5E2=4.7 ALIGN=MIDDLE  ALT=\"d%5B4%5D%5E2=4.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B5%5D%5E2=0.7 ALIGN=MIDDLE  ALT=\"d%5B5%5D%5E2=0.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B6%5D%5E2=10.0 ALIGN=MIDDLE  ALT=\"d%5B6%5D%5E2=10.0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sum the squares of deviation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Sum+=+202.8 ALIGN=MIDDLE  ALT=\"Sum+=+202.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by the number of samples and take the square root,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma+=+sqrt%28202.8%2F6%29 ALIGN=MIDDLE  ALT=\"sigma+=+sqrt%28202.8%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma+=+5.8 ALIGN=MIDDLE  ALT=\"sigma+=+5.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );