Question

The mean of 13, 16, 18, x, 12, 17, 14, 20 is 16, find the value of x​

Answer 1

$\huge{\mathcal{\green{Answer}}}$

❤Mean =sum of all observations/number of all observations

$16 = \frac{13 + 16 + 18 + x + 12 + 17 + 14 + 20}{8} \\ ................... \\ 16 = \frac{110 + x}{8} \\ 128 = x + 110 \\ x = 128 - 110$

$\huge{\mathcal{\blue{\boxed{x=18}}}}$

Answer 2

Sum of observations = 110 + x

Number of observations = 8

Mean = 16

$mean \: = \frac{sum \: of \: observations}{number \: of \: observations}$

16=110+x/8

128 = 110 + x

x = 128 - 110

x = 18