document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256668>Question 256668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I have a data set and calculate the mean, then I have the same data set that has an outlier that is much greater than the rest of the data, is the mean with the outlier greater or less than the mean without the outlier? Explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188760 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=188760\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I have a data set and calculate the mean, then I have the same data set that has an outlier that is much greater than the rest of the data, is the mean with the outlier greater or less than the mean without the outlier? Explain.<BR>\n" );
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document.write( "The mean with the outlier is greater because the sum of the numbers<BR>\n" );
document.write( "that include the outlier will be greater than the sum of the numbers<BR>\n" );
document.write( "without the outlier.  In each case you will divide by the number which<BR>\n" );
document.write( "is the number of elements in the set to obtain the mean value.  Since<BR>\n" );
document.write( "the sum is greater with the outlier the quotient will be larger.<BR>\n" );
document.write( "That quotient is the mean of the set.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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