Question

# If the mean of $$5$$ observations $$x, x+2, x+4, x+6$$ and $$x+8$$ is $$11$$, find the value of $$x$$.

Solution

## We know that,Mean $$=\dfrac {Sum\ of\ the\ given\ observation}{Total\ number\ of\ observation}$$Sum of the given observations $$=x+(x+2)+(x+4)+(x+6)+(x+8)$$$$=x+x+2+x+4+x+6+x+8$$$$=5x+20$$Total number of observations $$=5$$Therefore, Mean $$=\dfrac{(5x+20)}{5}$$Also, Mean $$=11$$(given) $$\Rightarrow 11=\dfrac{(5x+20)}{5}$$$$\Rightarrow 55=5x+20$$or $$x=7$$MathematicsRS AgarwalStandard X

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