document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016068>Question 1016068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here are the noon temperatures (in degrees Celsius) in a particular Canadian city on Thanksgiving Day for the 10 years from 2000 to 2009: 0, 3, 6, 8, 2, 9, 7, 6, 4, 5. Describe the representative (typical) temperature and the amount of variation to a person who has never had a course in statistics. Give three ways of describing the representative temperature and two ways of describing its variation, explaining the differences and how you figured each. \r<BR>\n" );
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document.write( "My problem is that I don't understand what they mean by representative temperature. If I can figure that out I think I may be able to figure out how to gain the variation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632496 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=632496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the representative temperature is the average, otherwise called the mean.\r<BR>\n" );
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document.write( "you need to calculate the mean.\r<BR>\n" );
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document.write( "then you need to calculate the variance.\r<BR>\n" );
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document.write( "if you need help with any of those, let me know and i'll go through it with you.\r<BR>\n" );
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document.write( "here's an example.\r<BR>\n" );
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document.write( "you have 3 temperatures.\r<BR>\n" );
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document.write( "they are 2,4,6\r<BR>\n" );
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document.write( "the representative temperature is (2 + 4 + 6) / 3 = 12/3 = 4\r<BR>\n" );
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document.write( "that's the average.\r<BR>\n" );
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document.write( "the variance is calculated as follows:\r<BR>\n" );
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document.write( "first you get the sum of squares.\r<BR>\n" );
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document.write( "that is each temperature subtracted from the mean and then squared.\r<BR>\n" );
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document.write( "in this example, you will get:\r<BR>\n" );
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document.write( "2 - 4 = (-2) squared = 4<BR>\n" );
document.write( "4 - 4 = 0 squared = 0<BR>\n" );
document.write( "6 - 4 = 2 squared = 4\r<BR>\n" );
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document.write( "sum of squares if 4 + 0 + 4 = 8\r<BR>\n" );
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document.write( "sum of squares divided by number of elements is the variance.\r<BR>\n" );
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document.write( "you will get variance = 8/3 = 2 and 2/3 = 2.666.... = 2.6667 rounded to 4 decimal places.\r<BR>\n" );
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document.write( "your representative temperature is 4.<BR>\n" );
document.write( "your variance is 2.6667\r<BR>\n" );
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document.write( "your standard deviation is the square root of the variance.<BR>\n" );
document.write( "you were not asked to give this, but you will eventually be asked to provide it.\r<BR>\n" );
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document.write( "in this example, the standard deviation is the square root of the variance which is the square root of (8/3) which is equal to 1.6330 rounded to 4 decimal places.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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