Question

Find the mean of the following data:

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

Answer 1

Step 1: Calculate the value of fx.

$fx=x\times f$

$N=f_1+f_2+.....f_7$

$x$	$f$	$fx$$=f\times x$
$19$	$13$	$19\times 13=247$
$21$	$15$	$21\times 15=315$
$23$	$16$	$23\times 16=368$
$25$	$18$	$25\times 18=450$
$27$	$16$	$27\times 16=432$
$29$	$15$	$29\times 15=435$
$31$	$13$	$31\times 13=403$
	$N=106$	$\sum _{}fx=2650$

Step 2: Calculate mean

$Mean\left(\overline{x}\right)=\frac{{\displaystyle \sum _{}}fx}{N}$

$\overline{x}$$=\frac{2650}{106}$

$\overline{x}$$=25$

Hence, the mean of the given data is$25$.