document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182500>Question 1182500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the range, mean, deviation, variance, and standard deviation of the following sets of data. Show your solution. Express your answer in radicals or two decimals places.\r<BR>\n" );
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document.write( "   48  47  64  56  54  58  51  63   61  70 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812566 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 48, 47, 64, 56, 54, 58, 51, 63, 61, 70<BR>\n" );
document.write( "Sum of observations =572<BR>\n" );
document.write( "Number of observations 10<BR>\n" );
document.write( "Mean = 57.2\r<BR>\n" );
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document.write( " take each number, subtract the mean and square the result<BR>\n" );
document.write( "48-57.2 = -9.2<BR>\n" );
document.write( "47-57.2= -10.2<BR>\n" );
document.write( "similarly for all of them we get<BR>\n" );
document.write( "-9.2<BR>\n" );
document.write( "-10.2<BR>\n" );
document.write( "6.8, <BR>\n" );
document.write( "-1.2,<BR>\n" );
document.write( "-3.2,<BR>\n" );
document.write( " 0.8,<BR>\n" );
document.write( "-6.2, <BR>\n" );
document.write( "5.8, <BR>\n" );
document.write( "3.8, <BR>\n" );
document.write( "12.8\r<BR>\n" );
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document.write( "Take the square of the above differences Example -9.2 ^2 = 84.64<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "84.64, 104.04, 46.24, 1.44, 10.24, 0.64, 38.44, 33.64, 14.44, 163.84\r<BR>\n" );
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document.write( "Add the difference ^2<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "497.6<BR>\n" );
document.write( "Variance = 497.6 / 10  ( the count)= 49.76\r<BR>\n" );
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document.write( "standard deviation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28variance%29 ALIGN=MIDDLE  ALT=\"sqrt%28variance%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " = 7.054 \r<BR>\n" );
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document.write( " </SPAN>\n" );
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