Question

If Median $=11.4,L=10,f=500,h=2$ and $c.f.=150$, then find ${}^{\prime }{N}^{\prime }$.

Answer 1

Given that

Median $=11.4$

$L=10$

$f=500$

$h=2$

$c.f=150$

we have to find $N=?$

As the formula of median $\left(M\right)=L+\left(\frac{\frac{N}{2}-c.f}{f}\right)h$

Substitute above values

$11.4=10+\left(\frac{\frac{N}{2}-150}{500}\right)$

$=10+\left(\frac{N-300}{2\times 500}\right)$

$11.4=10+\frac{N-300}{500}$

$\Rightarrow \frac{N-300}{500}=11.4-10$

$\Rightarrow \frac{N-300}{500}=1.4$

$N-300=1.4\times 500$

$N-300=700$

$N=700+300$

$N=1000$

$\therefore N=1000$