Find the mean of the following data:

$x$	19	21	23	25	27	29	31
$f$	13	15	16	18	16	15	13

"

To do:

We have to find the mean for the given distribution.

Solution:

$x$	$f$	$f \times\ x$
19	13	247
21	15	315
23	16	368
25	18	450
27	16	432
29	15	435
31	13	403
Total	106	2650

 We know that,

Mean$=\frac{\sum fx}{\sum f}$

Therefore,

Mean $=\frac{2650}{106}$

$=25$