document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614879>Question 614879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A set of data is normally distributed with a mean of 500 and standard deviation of 100.  <BR>\n" );
document.write( "·         What would be the standard score for a score of 433?<BR>\n" );
document.write( "·         What percentage of scores is between 500 and 433?<BR>\n" );
document.write( "·         What would be the percentile rank for a score of 433?<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 #386796 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=386796\">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 500 and standard deviation of 100. <BR>\n" );
document.write( "· What would be the standard score for a score of 433?<BR>\n" );
document.write( "z(433) = (433-500)/100 = -67/100 = -0.67<BR>\n" );
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document.write( "· What percentage of scores is between 500 and 433?<BR>\n" );
document.write( "z(500) = 0<BR>\n" );
document.write( "P(433 < x < 500) = P(-0.67< z <0) = normalcdf(-0.67,0) = 0.2486<BR>\n" );
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document.write( "· What would be the percentile rank for a score of 433?<BR>\n" );
document.write( "Ans: 0.5000-0.2486 = 0.2514<BR>\n" );
document.write( "So Percentile for 433 is 25%ile<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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