document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608181>Question 608181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An animal clinic kept record of the life spans of certain poodles.  The number of years the dogs lived are 8, 10, 12, 15, 17, and 13.  What is the standard deviation of the poodle life spans?\r<BR>\n" );
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document.write( "No other information is given and i am stuck.. Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383088 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=383088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we need to find the sample mean\r<BR>\n" );
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document.write( "xbar = (8+10+12+15+17+13)/6 = 75/6 = 12.5 \r<BR>\n" );
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document.write( "So the sample mean is xbar = 12.5 \r<BR>\n" );
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document.write( "Now subtract the sample mean from EVERY data value:\r<BR>\n" );
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document.write( "8-12.5 = -4.5<BR>\n" );
document.write( "10-12.5 = -2.5<BR>\n" );
document.write( "12-12.5 = -0.5<BR>\n" );
document.write( "15-12.5 = 2.5<BR>\n" );
document.write( "17-12.5 = 4.5<BR>\n" );
document.write( "13-12.5 = 0.5\r<BR>\n" );
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document.write( "So the differences are: -4.5, -2.5, -0.5, 2.5, 4.5, 0.5 \r<BR>\n" );
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document.write( "Now square each difference:\r<BR>\n" );
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document.write( "(-4.5)^2 = 20.25<BR>\n" );
document.write( "(-2.5)^2 = 6.25<BR>\n" );
document.write( "(-0.5)^2 = 0.25<BR>\n" );
document.write( "(2.5)^2 = 6.25<BR>\n" );
document.write( "(4.5)^2 = 20.25<BR>\n" );
document.write( "(0.5)^2 = 0.25\r<BR>\n" );
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document.write( "Now add up each square:\r<BR>\n" );
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document.write( "20.25+6.25+0.25+6.25+20.25+0.25 = 53.5\r<BR>\n" );
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document.write( "Now divide that sum by n-1 = 6-1 = 5 to get 53.5/5 = 10.7 \r<BR>\n" );
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document.write( "So the sample variance is 10.7 \r<BR>\n" );
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document.write( "Finally, take the square root of 10.7 to get 3.27108544675923\r<BR>\n" );
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document.write( "So the sample standard deviation is 3.27108544675923<BR>\n" );
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