document.write( "Question 1113619: For the sample of 10 values 7, 6, 10, 7, 5, 9, 3, 7, 5, 13 what is the value of Σ(x – xbar)? \n" ); document.write( "

Algebra.Com's Answer #728682 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "If in your notation xbar means the MEAN value of the series, then this sum  Σ(x – xbar)  is zero.\r\n" );
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document.write( "This sum is ALWAYS zero for ANY finite series.\r\n" );
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document.write( "Particularly, it is equal to zero for the given particular series.\r\n" );
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document.write( "     Original          Centered\r\n" );
document.write( "      values        values x-xbar\r\n" );
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document.write( "	7	       -0.2\r\n" );
document.write( "	6	       -1.2\r\n" );
document.write( "	10      	2.8\r\n" );
document.write( "	7	       -0.2\r\n" );
document.write( "	5	       -2.2\r\n" );
document.write( "	9	        1.8\r\n" );
document.write( "	3	       -4.2\r\n" );
document.write( "	7	       -0.2\r\n" );
document.write( "	5	       -2.2\r\n" );
document.write( "	13	        5.8\r\n" );
document.write( "sum =	72	\r\n" );
document.write( "xbar = 	7.2      sum =	0\r\n" );
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