document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=752709>Question 752709</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X/1 2 3 4 5 6<BR>\n" );
document.write( "F/4 6 a 10 b 8<BR>\n" );
document.write( "The mean of 50 observations for a grouped data is 3.72 the two frequencies are missing in the frequency table.find the missing frequencies..<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 #458020 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=458020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X/1 2 3 4 5 6<BR>\n" );
document.write( "F/4 6 a 10 b 8<BR>\n" );
document.write( "The mean of 50 observations for a grouped data is 3.72 the two frequencies are missing in the frequency table.find the missing frequencies..<BR>\n" );
document.write( "------<BR>\n" );
document.write( "mean = [1*4+2*6+3a+4*10+5b+6*8]/50<BR>\n" );
document.write( "[4+12+3a+40+5b+48]/50 = 3.72<BR>\n" );
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document.write( "[3a+5b+104] = 186<BR>\n" );
document.write( "3a+5b = 82<BR>\n" );
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document.write( "Sum of the frequencies = 50<BR>\n" );
document.write( "a+b + 28 = 50<BR>\n" );
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document.write( "Using the 2 equations, solve for \"a\" and for \"b\":<BR>\n" );
document.write( "3a+5b = 82<BR>\n" );
document.write( "a + b = 22<BR>\n" );
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document.write( "Modify for elimination:<BR>\n" );
document.write( "3a + 5b = 82<BR>\n" );
document.write( "3a + 3b = 66<BR>\n" );
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document.write( "Subtract and solve for \"b\":<BR>\n" );
document.write( "2b = 16<BR>\n" );
document.write( "b = 8<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a + 8 = 22<BR>\n" );
document.write( "a = 14<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========================<BR>\n" );
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