document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717065>Question 717065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from the following data find the missing frequency when mean is 15.38.<BR>\n" );
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document.write( "MARKS:       10       12      14      16    18      20\r<BR>\n" );
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document.write( "FREQUENCY:    3        7      12      20    ?        5<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 #440096 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=440096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If \"n\" is the missing frequency then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A10%2B7%2A12%2B12%2A14%2B20%2A16%2Bn%2A18%2B5%2A20%29%2F%283%2B7%2B12%2B20%2Bn%2B5%29+=+15.38 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2830%2B84%2B168%2B320%2B18n%2B100%29%2F%2847%2Bn%29+=+15.38 ALIGN=MIDDLE  ALT=\"%2830%2B84%2B168%2B320%2B18n%2B100%29%2F%2847%2Bn%29+=+15.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28702%2B18n%29%2F%2847%2Bn%29+=+15.38 ALIGN=MIDDLE  ALT=\"%28702%2B18n%29%2F%2847%2Bn%29+=+15.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Eliminate the fraction by multiplying each side by (47+n):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=702%2B18n+=+%2847%2Bn%29%2A15.38 ALIGN=MIDDLE  ALT=\"702%2B18n+=+%2847%2Bn%29%2A15.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=702%2B18n+=+722.86+%2B+15.38n ALIGN=MIDDLE  ALT=\"702%2B18n+=+722.86+%2B+15.38n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 15.38n:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=702%2B2.62n+=+722.86 ALIGN=MIDDLE  ALT=\"702%2B2.62n+=+722.86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 702:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.62n+=+20.86 ALIGN=MIDDLE  ALT=\"2.62n+=+20.86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing by 2.62:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+7.9618320610687022900763358778626 ALIGN=MIDDLE  ALT=\"n+=+7.9618320610687022900763358778626\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since \"n\" was a frequency, it should be a whole number. The reason we did not get a whole number for n must be either<ul><li>We made a mistake. Check the work to see if we did. Or...</li><li>The average we were given is a rounded-off number. In this case, \"n\" must be 8. </SPAN>\n" );
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