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  4. Find the arithmetic mean of the observations x+5, x+6, x+10, x+11, x+14, x+20 (where x is any real number).

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Q. Find the arithmetic mean of the observations $x+5$, $x+6, x+10, x+11, x+14, x+20$ (where $x$ is any real number).

Statistics

Solution:

$AM =\frac{\text { Sum of all observations }}{\text { Total number of observations }} $
$ =\frac{x+5+x+6+x+10+x+11+x+14+x+20}{6} $
$ =\frac{6 x+66}{6}=\frac{6(x+11)}{6}=x+11$