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 #651101 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add them up and divide by the number in the sample:  162/10=16.2<BR>\n" );
document.write( "Take the difference of each value from the mean and square it.  Add all the squares and divide by 9, one less than the number in the sample, because it is a sample and not a population.  That is the variance:15.45<BR>\n" );
document.write( "Take the square root of the variance.  That is the standard deviation: 3.29<BR>\n" );
document.write( "Take the difference between the highest and the lowest.  That is the range: 11.<BR>\n" );
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