document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962517>Question 962517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of data within 1 standard deviation of the mean: 52, 76, 69, 63, 69, 68, 65, 61.\r<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 #588093 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=588093\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mean = 523/8 = 65.375\r<BR>\n" );
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document.write( "You get the mean by adding up all the numbers and then dividing by 8 (since there are 8 numbers).\r<BR>\n" );
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document.write( "Standard Deviation =  7.0698\r<BR>\n" );
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document.write( "This is approximate. Doing the calculation by hand is tedious so use a calculator here.\r<BR>\n" );
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document.write( "Lower Bound: <BR>\n" );
document.write( "L = (mean) - (standard deviation) = 65.375 - 7.0698 = 58.3052\r<BR>\n" );
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document.write( "Upper Bound: <BR>\n" );
document.write( "U = (mean) + (standard deviation) = 65.375 + 7.0698 = 72.4448\r<BR>\n" );
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document.write( "So the data that is roughly within 1 standard deviation of the mean will range from 58.3052 to 72.4448\r<BR>\n" );
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document.write( "Those data values that are between 58.3052 and 72.4448 from the data set are: 69, 63, 69, 68, 65, 61\r<BR>\n" );
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document.write( "There are <font color=\"red\">6</font> data values. So that is the final answer.\r<BR>\n" );
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