Question

If the mean of five observations x,x+2, x+3, x+4 and x+6 is 14, find the
value of x.​

Answer 1

Step-by-step explanation:

$\frac{x + x + 2 + x + 3 + x + 4 + x + 6}{5} = 14$

$5x + 15 = 14 \times 5$

$5x + 15 = 70$

$5x = 70 - 15$

$5x = 55$

$x = \frac{55}{5}$

$x = 11$

HOPE IT HELPS...............

Answer 2

Step-by-step explanation:

$\sf Mean= \dfrac{ Sum \: of \: quantities }{ Number \: of \: quantities}$

$\longmapsto \sf \dfrac{ x + x + 2+ x+3+x+4 +x+6}{5} = 14$

$\implies \sf \dfrac{5x+ 15}{5}=14$

$\implies \sf 14 \times 5 = 5x + 15$

$\sf \implies 70=5x+15$

$\sf \implies 70-15=5x$

$\implies \sf 55=5x$

$\implies \sf \dfrac{55}{5} = x$

$\implies \sf {11=x}$

Value of x = 11