document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=714989>Question 714989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have the mean (111.16 and std. deviation(32.83) of 135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85 how do I determine within how many std. dev. of the mean do all the values fall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439130 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=439130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The smallest value is 69. This value is has a z-score of \r<BR>\n" );
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document.write( "z = (69-111.16)/(32.83)\r<BR>\n" );
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document.write( "z = -1.28419\r<BR>\n" );
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document.write( "The largest value is 161. This value is has a z-score of \r<BR>\n" );
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document.write( "z = (161-111.16)/(32.83)\r<BR>\n" );
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document.write( "z = 1.51812\r<BR>\n" );
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document.write( "So all of the values fall within 1.51812 standard deviations away from the mean\r<BR>\n" );
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