document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203351>Question 1203351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a travel website, 58 hotels are rated 5 stars, 120 hotels are rated 4 stars, 135 hotels are rated 3 stars, 88 hotels are rated 2 stars, and 46 hotels are rated 1 star. What is the average hotel rating?<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 #838843 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=838843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I recommend a spreadsheet for this problem.\r<BR>\n" );
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document.write( "x = score = star rating<BR>\n" );
document.write( "f = frequency\r<BR>\n" );
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document.write( "Make the following frequency table<BR>\n" );
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document.write( "<tr><TD >x</TD><TD >f</TD></tr><tr><TD >5</TD><TD >58</TD></tr><tr><TD >4</TD><TD >120</TD></tr><tr><TD >3</TD><TD >135</TD></tr><tr><TD >2</TD><TD >88</TD></tr><tr><TD >1</TD><TD >46</TD></tr>\n" );
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document.write( "Form a third column where we multiply each x and f value.<BR>\n" );
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document.write( "<tr><TD >x</TD><TD >f</TD><TD >x*f</TD></tr><tr><TD >5</TD><TD >58</TD><TD >290</TD></tr><tr><TD >4</TD><TD >120</TD><TD >480</TD></tr><tr><TD >3</TD><TD >135</TD><TD >405</TD></tr><tr><TD >2</TD><TD >88</TD><TD >176</TD></tr><tr><TD >1</TD><TD >46</TD><TD >46</TD></tr><tr><TD >Total</TD><TD >447</TD><TD >1397</TD></tr>\n" );
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document.write( "At the bottom of columns 2 and 3 are the sums of those respective columns.<BR>\n" );
document.write( "Divide the sum of the xf values over the sum of the frequencies.\r<BR>\n" );
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document.write( "1397/447 = 3.12527964205817\r<BR>\n" );
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document.write( "The average hotel rating is about 3.125\r<BR>\n" );
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document.write( "The much longer method, and the method I strongly do NOT recommend, is to write 58 copies of \"5\", 120 copies of \"4\", 135 copies of \"3\", and so on until you have a massive set of values (447 values in total). \r<BR>\n" );
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document.write( "Then compute the mean by adding up those values to get a sum of 1397.<BR>\n" );
document.write( "Divide that sum over the sample size 447 to get the answer mentioned earlier.\r<BR>\n" );
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document.write( "Thankfully the first method involving a frequency chart helps give a nice shortcut.<BR>\n" );
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