document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=487753>Question 487753</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Respected Sir ,<BR>\n" );
document.write( "Please help me to solve this question, I will be very grateful for your help<BR>\n" );
document.write( "If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined HM is given by<BR>\n" );
document.write( "As  the answer given is :  70.36\r<BR>\n" );
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document.write( "Please  help me to simplify this !!!<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 #333120 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think it would be a weighted average that we are looking for.<BR>\n" );
document.write( "the group with an average of 75 harmonic means had 15 observations.<BR>\n" );
document.write( "the group with an average of 65 harmonic means had 13 observations.<BR>\n" );
document.write( "the answer given is 70.36<BR>\n" );
document.write( "the quick way is to test my hypothesis and see if it comes up with the right answer.<BR>\n" );
document.write( "(75 * 15 + 65 * 13) / (15 + 13) = (1125 + 845) / (28) = (1970) / (28) = 70.35714286 which rounds off to 70.36<BR>\n" );
document.write( "my hypothesis was correct.<BR>\n" );
document.write( "you are taking a weighted average.<BR>\n" );
document.write( "that's your answer.\r<BR>\n" );
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