Question

if the mean of observations x,x+2,x+4,x+6,x+8 is 13.find the value of x​

Answer 1

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If the mean of observations x , x+2 , x+4 , x+6 , x+8  is 13 . Find the value of x .

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observations given are :

x , x+2 , x+4 , x+6 , x+8

no. of observations = 5

Mean = 13

$\boxed {\tt mean = \frac{sum\:of\:observations}{no.\:of\:observations} }$

putting given info

$\tt 13 = \frac{x+x+2+x+4+x+6+x+8}{5} \\\\\tt 65 = 5x + 20\\\\\tt 5x = 65 - 20\\\\\tt 5x = 45\\\\\boxed{\tt x = 9}$

$\large{\frak{\orange{value\:of\:x\:is\:9.}}}$