Question

if the mean of 5 observation x, x+4,x+8,x+12,x+16 is 13 then find x and the observation

Answer 1

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Answer 2

Answer:

$Value \: of \: x = 5$

Step-by-step explanation:

$Given \\5 \:observations \:are \\x,x+4,x+8,x+12\:and \:\\x+16\\mean = 13$

$We\: know \: that \\\boxed {mean=\frac{sum\:of \: observations}{Number \:of \: observations }}$

$\implies mean =13$

$\implies \frac{x+x+4+x+8+x+12+x+16}{5}=13$

$\implies 5x+40=13\times 5$

$\implies 5x+40 = 65$

$\implies 5x = 65-40$

$\implies 5x = 25$

$\implies x =\frac{25}{5}$

$\implies x = 5$

Therefore,

$Value \: of \: x = 5$

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