Question

The mean of 6 observations is $17.5$. If five of them are $14,9,23,25$ and $10$, find the sixth observation.

Answer 1

Given the mean of 6 observations is $17.5$

if five of them are $14,9,23,25$ and $10$

Let 'x' be the sixth observation

we know mean$=\frac{sumofobservations}{noofobservations}$

$17.5=\frac{14+9+23+25+10+x}{6}$

$17.5=\frac{81+x}{6}$

$81+x=6\times 17.5=105$

$x=105-81$

$x=24$

$\therefore$ sixth observation is $24$