document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196647>Question 1196647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scores on an adult Intelligence Scale (a standard IQ test) are approximately normally distributed with mean of 110 and standard deviation of 5. IQ- N(110, 25)<BR>\n" );
document.write( "What percent of scores are above 110? \r<BR>\n" );
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document.write( "I tried:<BR>\n" );
document.write( "Z=xi-xbar/s<BR>\n" );
document.write( "Z=25-110/5<BR>\n" );
document.write( "Z=17\r<BR>\n" );
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document.write( "(1-1/z^2)<BR>\n" );
document.write( "(1-1/17^2)*100<BR>\n" );
document.write( "99.7%<BR>\n" );
document.write( "The empirical rule says that it's in between 1-2 standard deviations above the mean.\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 #829564 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52864)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Hello, &nbsp;the normal distribution curve is symmetrical relative to the mean score.\r<BR>\n" );
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document.write( "THEREFORE, &nbsp;the percent of scores above &nbsp;110 &nbsp;is &nbsp;50% &nbsp;in this problem.\r<BR>\n" );
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document.write( "It is clear &nbsp;(and should be clear) &nbsp;without any calculations.\r<BR>\n" );
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document.write( "By the way, &nbsp;for your better understanding, &nbsp;when they ask you about the percent above some score, \r<BR>\n" );
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document.write( "it means that you should find the &nbsp;AREA &nbsp;UNDER &nbsp;normal curve to the right of the given score.\r<BR>\n" );
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document.write( "There is nice online calculator for solving such problems under this link\r<BR>\n" );
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document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
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document.write( "It is for common use and is free of charge.\r<BR>\n" );
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document.write( "It provides an accompanying plot, &nbsp;shoving which area under the normal curve is of your interest.\r<BR>\n" );
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document.write( "It prevents you of making errors.\r<BR>\n" );
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document.write( "This calculator is &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28indispensable%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28indispensable%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;teaching tool for you, &nbsp;when you make your first steps in such calculations.\r<BR>\n" );
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document.write( "So, &nbsp;play with it as much until you learn the subject sufficiently.\r<BR>\n" );
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