document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571889>Question 571889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of data is normally distributed with a mean of 100 and standard deviation of 15.  <BR>\n" );
document.write( "·         What would be the standard score for a score of 85?<BR>\n" );
document.write( "·         What percentage of scores is between 100 and 85?<BR>\n" );
document.write( "·         What would be the percentile rank for a score of 85?\r<BR>\n" );
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document.write( "I am lost and my teacher will not respond to me via email or anything. PLEASE HELP!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368264 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=368264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A set of data is normally distributed with a mean of 100 and standard deviation of 15. <BR>\n" );
document.write( "· What would be the standard score for a score of 85?<BR>\n" );
document.write( "z(85) = (85-100)/15 = -15/15 = -1<BR>\n" );
document.write( "That means 85 is one standard deviation to the left of the mean.<BR>\n" );
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document.write( "· What percentage of scores is between 100 and 85?<BR>\n" );
document.write( "One standard deviation from the mean covers 34% of the population.<BR>\n" );
document.write( "normalcdf(85,100,100,15) = 0.3413<BR>\n" );
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document.write( "· What would be the percentile rank for a score of 85?<BR>\n" );
document.write( "The tail to the left of 85 must have 0.5000-0.3413 = 0.1587 of the population.<BR>\n" );
document.write( "The percentile score must be 15.87%ile<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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