Question

Obtain the mean of the following distribution.

Frequency	Variable
$4$	$4$
$8$	$6$
$14$	$8$
$11$	$10$
$3$	$12$

Answer 1

The obtained frequency distribution table for given data is shown below:

$x_i$	$f_i$	$x_i{f}_i$
$4$	$4$	$16$
$6$	$8$	$48$
$8$	$14$	$112$
$10$	$11$	$110$
$12$	$3$	$36$
Total	$40$	$322$

Mean of the given distribution $=\frac{Sumoftotalobservations}{Totalnumberofobservation}=\frac{{\displaystyle \sum _{i=1}^5}{x}_i{f}_i}{{\displaystyle \underset{i=1}{\overset{5}{\sum f_i}}}}$

Therefore,

Mean $=\frac{322}{40}=8.05$

Hence, tghe mean of the given distribution is $8.05$.