document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036440>Question 1036440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the variance and the standard deviation in this problem?<BR>\n" );
document.write( "I know the range is 11 and the mean is 16.2..\r<BR>\n" );
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document.write( "The ages (in years) of a random sample of shoppers at a gaming store are shown. determine the range, mean, variance, and standard deviation of the sample data set.\r<BR>\n" );
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document.write( "12, 17, 23, 13, 14, 17, 20, 16, 15, 15\r<BR>\n" );
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document.write( "The variance is...\r<BR>\n" );
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document.write( "The standard deviation is... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651103 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you need to calculate the sum of squares.<BR>\n" );
document.write( "from that you can get the variance.<BR>\n" );
document.write( "from that you can get the standard deviation.\r<BR>\n" );
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document.write( "the sum of squares is the sum of the square of the difference between each data element and the mean.\r<BR>\n" );
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document.write( "the variance is the sum of squares divided by the number of elements in the data set.\r<BR>\n" );
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document.write( "the standard deviation is the square root of the variance.\r<BR>\n" );
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document.write( "these rules apply to the population statistics only.\r<BR>\n" );
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document.write( "sample statistics divide by 1 less than the number of elements.\r<BR>\n" );
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document.write( "the attached excel spreadsheet shows you the details of what i mean.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/053001.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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