document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734489>Question 734489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, please help with this question. I'm stuck\r<BR>\n" );
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document.write( "The lengths, in inches, of a sample of eight Brazilian Barking Treefish are given below.11, 17, 24, 26, 27, 29, 34, 42	Round the following to 2 DECIMAL PLACES if necessary.\r<BR>\n" );
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document.write( "  Find the sample mean weight.<BR>\n" );
document.write( "  Find the sample standard deviation.<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 #448989 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sample mean is the average and is computed as the sum of all the observed outcomes  from the sample divided by the total number of events.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mean=%2811%2B17%2B24%2B+26%2B27%2B29%2B34%2B42%29%2F8 ALIGN=MIDDLE  ALT=\"mean=%2811%2B17%2B24%2B+26%2B27%2B29%2B34%2B42%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mean=210%2F8 ALIGN=MIDDLE  ALT=\"mean=210%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mean=26.25 ALIGN=MIDDLE  ALT=\"mean=26.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Variance and Standard Deviation: Step by Step\r<BR>\n" );
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document.write( "    Calculate the mean,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=26.25 ALIGN=MIDDLE  ALT=\"x=26.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "    Write a table that subtracts the mean from each observed value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+26.25 ALIGN=MIDDLE  ALT=\"x+-+26.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >------- 	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+26.25+%29%5E2+ ALIGN=MIDDLE  ALT=\"%28x+-+26.25+%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-15.25 ALIGN=MIDDLE  ALT=\"+-15.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------     	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=232.5625 ALIGN=MIDDLE  ALT=\"232.5625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17 ALIGN=MIDDLE  ALT=\"17\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-9.25 ALIGN=MIDDLE  ALT=\"+-9.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85.5625 ALIGN=MIDDLE  ALT=\"85.5625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2.25 ALIGN=MIDDLE  ALT=\"+-2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.0625 ALIGN=MIDDLE  ALT=\"5.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26 ALIGN=MIDDLE  ALT=\"26\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-0.25 ALIGN=MIDDLE  ALT=\"+-0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0625 ALIGN=MIDDLE  ALT=\"0.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27 ALIGN=MIDDLE  ALT=\"27\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.75 ALIGN=MIDDLE  ALT=\"+0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5625 ALIGN=MIDDLE  ALT=\"0.5625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=29 ALIGN=MIDDLE  ALT=\"29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2.75 ALIGN=MIDDLE  ALT=\"+2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5625 ALIGN=MIDDLE  ALT=\"7.5625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34 ALIGN=MIDDLE  ALT=\"34\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7.75 ALIGN=MIDDLE  ALT=\"+7.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60.0625 ALIGN=MIDDLE  ALT=\"60.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42 ALIGN=MIDDLE  ALT=\"42\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15.75 ALIGN=MIDDLE  ALT=\"+15.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------      	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=248.0625 ALIGN=MIDDLE  ALT=\"248.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Total: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=232.5625%2B85.5625%2B5.0625%2B0.0625%2B0.5625%2B7.5625%2B60.0625%2B248.0625++++++++++++=639.5 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "    <BR>\n" );
document.write( "    Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=639.5 ALIGN=MIDDLE  ALT=\"639.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-1 ALIGN=MIDDLE  ALT=\"n+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=8 ALIGN=MIDDLE  ALT=\"n=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of items in the sample.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=639.5%2F8=79.9375 ALIGN=MIDDLE  ALT=\"639.5%2F8=79.9375\"   DISABLED_style= \"max-width:90%; height:auto;\" >  This is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=variance ALIGN=MIDDLE  ALT=\"variance\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "    To get the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=standard ALIGN=MIDDLE  ALT=\"standard\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=deviation ALIGN=MIDDLE  ALT=\"deviation\"   DISABLED_style= \"max-width:90%; height:auto;\" > we take the square root of the variance.  \r<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2879.9375%29=8.94 ALIGN=MIDDLE  ALT=\"sqrt%2879.9375%29=8.94\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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