Question

The mean of given data is:

$x$	$2$	$4$	$6$	$8$	$10$
$f$	$7$	$4$	$5$	$5$	$4$

• A. $5.6$
• B. $6.4$
• C. $6$
• D. None of these

Answer 1

The correct option is A $5.6$

The mean of given data is:

$x$	$2$	$4$	$6$	$8$	$10$
$f$	$7$	$4$	$5$	$5$	$4$

$fx$ $14$ $16$ $30$ $40$ $40$

Then, $\sum fx=14+16+30+40+40=140$

and $\sum f=7+4+5+5+4=25$.

We know, mean of a frequency distribution is calculated by:

$\overline{x}=\frac{\sum f_i{x}_i}{\sum f_i}$.

Required mean $=\frac{140}{25}=5.6$.

Therefore, option $A$ is correct.