document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=477210>Question 477210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help! The process? \r<BR>\n" );
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document.write( "Find the sample mean, variance, and standard deviation. (For standard deviation, round answer to two decimal places.)\r<BR>\n" );
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document.write( "&#8722;9, &#8722;5, &#8722;4, &#8722;1, 0, 1\r<BR>\n" );
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document.write( "sample mean = -3\r<BR>\n" );
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document.write( "sample variance = ?\r<BR>\n" );
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document.write( "sample standard deviation = ?<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 #327111 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=327111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Finding the sample standard deviation:\r<BR>\n" );
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document.write( "First, subtract the sample mean from EVERY data value:\r<BR>\n" );
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document.write( "-9-(-3) = -6<BR>\n" );
document.write( "-5-(-3) = -2<BR>\n" );
document.write( "-4-(-3) = -1<BR>\n" );
document.write( "-1-(-3) = 2<BR>\n" );
document.write( "0-(-3) = 3<BR>\n" );
document.write( "1-(-3) = 4\r<BR>\n" );
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document.write( "So the differences are: -6, -2, -1, 2, 3, 4 \r<BR>\n" );
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document.write( "Now square each difference:\r<BR>\n" );
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document.write( "(-6)^2 = 36<BR>\n" );
document.write( "(-2)^2 = 4<BR>\n" );
document.write( "(-1)^2 = 1<BR>\n" );
document.write( "(2)^2 = 4<BR>\n" );
document.write( "(3)^2 = 9<BR>\n" );
document.write( "(4)^2 = 16\r<BR>\n" );
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document.write( "Now add up each square:\r<BR>\n" );
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document.write( "36+4+1+4+9+16 = 70\r<BR>\n" );
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document.write( "Now divide that sum by n-1 = 6-1 = 5 to get 70/5 = 14 \r<BR>\n" );
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document.write( "This value (14) is known as the sample variance. \r<BR>\n" );
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document.write( "Finally, take the square root of 14 to get 3.74165738677394 and round to two places to get 3.74\r<BR>\n" );
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document.write( "So the sample standard deviation is 3.74\r<BR>\n" );
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