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  4. If the average of the numbers 1, 2, 3, ..., 98, 99, x is 100x, then the value of x is

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Q. If the average of the numbers $1$, $2$, $3$, $...$, $98$, $99$, $x$ is $100x$, then the value of $x$ is

Statistics

Solution:

$\frac{1+2+3+... +99+x}{100} = 100x$
$\Rightarrow 10000x = \frac{99\cdot100}{2}+x$
$\Rightarrow x = \frac{50}{101}$