Question

The mean of a data is $\overline{x}=35.8$. If $\sum f_i{u}_i=4,\sum f_i=50$ and $c=10$, then find the assumed mean(A).

Answer 1

Here mean of the data is $\overline{x}=35.8$. Also $\sum f_i{u}_i=4$, $\sum f_i=50$ and $c=10$ is given
By Formula,
$\overline{x}=A+\frac{\sum f_i{u}_i}{\sum f_i}\times c$
Substituting the values in the formula, we get
$35.8=A+\frac{4}{50}\times 10$
$\therefore 35.8-\frac{4}{5}=A$
$\therefore 35.8-0.8=A$
$\therefore A=35$