document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187619>Question 1187619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hen lays eight eggs. Each egg was weighed and recorded as follows:\r<BR>\n" );
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document.write( "60 g, 56 g, 61 g, 68 g, 51 g, 53 g, 69 g, 54 g. Find the Variance? \r<BR>\n" );
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document.write( "Im a little lost please help\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 #818626 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=818626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "calculate the variance of the follow data set: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60g ALIGN=MIDDLE  ALT=\"60g\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56g%2C+%7B%7B%7B61g ALIGN=MIDDLE  ALT=\"56g%2C+%7B%7B%7B61g\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68g ALIGN=MIDDLE  ALT=\"68g\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=51g ALIGN=MIDDLE  ALT=\"51g\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53g ALIGN=MIDDLE  ALT=\"53g\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69g ALIGN=MIDDLE  ALT=\"69g\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+54g ALIGN=MIDDLE  ALT=\"+54g\"   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=variance=sqrt%28%28x%5Bi%5D-mu%29%5E2%2F%28n-1%29%29 ALIGN=MIDDLE  ALT=\"variance=sqrt%28%28x%5Bi%5D-mu%29%5E2%2F%28n-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The first step is to calculate the mean. \r<BR>\n" );
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document.write( "mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=+%2860%2B56%2B61%2B68+%2B51%2B53+%2B69+%2B54%29%2F8=472%2F8=59 ALIGN=MIDDLE  ALT=\"mu=+%2860%2B56%2B61%2B68+%2B51%2B53+%2B69+%2B54%29%2F8=472%2F8=59\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then you take each value in data set, subtract the mean and square the difference. For instance, for the first value:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860+-+59%29%5E2++=+1 ALIGN=MIDDLE  ALT=\"%2860+-+59%29%5E2++=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2856+-+59%29%5E2++=+9 ALIGN=MIDDLE  ALT=\"%2856+-+59%29%5E2++=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2861+-+59%29%5E2++=4 ALIGN=MIDDLE  ALT=\"%2861+-+59%29%5E2++=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2868+-+59%29%5E2++=81 ALIGN=MIDDLE  ALT=\"%2868+-+59%29%5E2++=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2851+-+59%29%5E2=64 ALIGN=MIDDLE  ALT=\"%2851+-+59%29%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2853+-+59%29%5E2=36 ALIGN=MIDDLE  ALT=\"%2853+-+59%29%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2869+-+59%29%5E2=100 ALIGN=MIDDLE  ALT=\"%2869+-+59%29%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854+-+59%29%5E2=25 ALIGN=MIDDLE  ALT=\"%2854+-+59%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The squared differences for all values are added:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B+9%2B+4+%2B+81+%2B+64%2B36%2B100%2B25+=+320 ALIGN=MIDDLE  ALT=\"1%2B+9%2B+4+%2B+81+%2B+64%2B36%2B100%2B25+=+320\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "plug it in formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=variance=320%2F%288-1%29+=+320%2F7=45.71 ALIGN=MIDDLE  ALT=\"variance=320%2F%288-1%29+=+320%2F7=45.71\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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