document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=957295>Question 957295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the mean, median, and mode are all equal for the set {10, 50, 60, 80, x} what can you say about the value of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584949 by </B><A HREF=/tutors/aboutme.mpl?userid=erica65404><B>erica65404(394)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=erica65404><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=erica65404><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a guess and check problem.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B50%2B60%2B80%2Bx%29%2F5 ALIGN=MIDDLE  ALT=\"%2810%2B50%2B60%2B80%2Bx%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28200%2Bx%29%2F5 ALIGN=MIDDLE  ALT=\"%28200%2Bx%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an equation that will represent the mean of this set of numbers (add all the numbers up and divide by the amount of numbers you have).\r<BR>\n" );
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document.write( "Since the mean median and mode are the same we know that x will be one of the current numbers so that a mode is present.\r<BR>\n" );
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document.write( "I chose 80 for x to start with. <BR>\n" );
document.write( "When I plugged 80 into this equation the mean is 56. \r<BR>\n" );
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document.write( "{10, 50, 60, 80, 80}\r<BR>\n" );
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document.write( "Now I look at the set and see that if x was 80, the median would be 60.  <BR>\n" );
document.write( "A median of 60 is too high. <BR>\n" );
document.write( "x=80 is incorrect\r<BR>\n" );
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document.write( "So now I choose 60 for x.   <BR>\n" );
document.write( "The mean is now 52. \r<BR>\n" );
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document.write( "{10, 50, 60, 60, 80}\r<BR>\n" );
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document.write( "Look at the set and the median is 60. <BR>\n" );
document.write( "60 is still too high of a median.\r<BR>\n" );
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document.write( "Now we choose 50 for x.<BR>\n" );
document.write( "The mean is 50.\r<BR>\n" );
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document.write( "{10, 50, 50, 60, 80}\r<BR>\n" );
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document.write( "The median is 50.\r<BR>\n" );
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document.write( "The mode median and mean are the same number now so x = 50.<BR>\n" );
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