document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259798>Question 259798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please put me on the right track i ask this question four time and no answer was given.\r<BR>\n" );
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document.write( "You are given the following frequency distribution for the number of errors that students made in a test \r<BR>\n" );
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document.write( "Errors  Frequency\r<BR>\n" );
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document.write( "0-2        14<BR>\n" );
document.write( "3-5         1<BR>\n" );
document.write( "6-8        9<BR>\n" );
document.write( "9-11       19<BR>\n" );
document.write( "12-14      17\r<BR>\n" );
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document.write( "Find the mean, variance, and the standard deviation\r<BR>\n" );
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document.write( "please help ASAP!!!!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316712 by </B><A HREF=/tutors/aboutme.mpl?userid=dylantc77><B>dylantc77(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dylantc77><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=316712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is how I answered a similar problem. The numbers are different but the theory is the same.\r<BR>\n" );
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document.write( "D = Data | M = Midpoint = x | F = Frequency\r<BR>\n" );
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document.write( "D      |     F	  |    M            |      (X * F): |   (X^2*F)<BR>\n" );
document.write( "0-7   |      4    |  (0+7)/2 = 3.5         |   3.5*4 = 14  |(3.5^2*4) = 49<BR>\n" );
document.write( "8-15   |     2    |  (8+15)/2 = 11.5     |   11.5*2 = 23  |    (11.5^2*2) =264.5<BR>\n" );
document.write( "16-23   |     1    |  (16+23)/2 = 19.5  |   19.5*1 = 19.5 |(19.5^2*1) =380.25<BR>\n" );
document.write( "24-31   |     2    |  (24+31)/2 = 27.5  |   27.5*2 = 55   |  (27.5^2*2) =1512.5<BR>\n" );
document.write( "32-39   |     1    |  (32+39)/2 = 35.5  |   35.5*1 = 35.5  | (35.5^2*1) =1260.25<BR>\n" );
document.write( "40-47   |     4    |  (40+47)/2 = 43.5  |   43.5*4 =174	    | (43.5^2*4)=7569<BR>\n" );
document.write( "SUM:   |     14    |  141               |	321        |   11060.25\r<BR>\n" );
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document.write( "Mean (x-bar) = 321/14 = 22.9 = 23\r<BR>\n" );
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document.write( "**********\r<BR>\n" );
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document.write( "Variance:<BR>\n" );
document.write( "S^2 = [11060.25-(321^2/14)]/(14-1)<BR>\n" );
document.write( "S^2 = [11060.25-(7360.07)]/(13)<BR>\n" );
document.write( "S^2 = 3700.18/13<BR>\n" );
document.write( "Variance = 284.63\r<BR>\n" );
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document.write( "Standard Dev.<BR>\n" );
document.write( "S^2= 284.63<BR>\n" );
document.write( "S = sqrt284.63<BR>\n" );
document.write( "Standard Dev. = 16.87<BR>\n" );
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