Question

The mean of 5 observation x,x+2,x+4,x+6andx+8 is 11. Then find the value of x

Answer 1

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Answer 2

$\mathsf {\implies The \: mean \: of \: 5 \: observations \: x, x+2, x+4, x+6, x+8 = 11}$

$\mathsf {\implies Mean = {\dfrac {Sum \: of \: all \: observations}{Total \: no.of \: observations}}}$

$\mathsf {\implies 11 = {\dfrac {x + x + 2 + x + 4 + x + 6 + x + 8}{5}}}$

$\mathsf {\implies 55 = 5x + 20}$

$\mathsf {\implies 35 = 5x}$

$\mathsf {\implies x = 7}$

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