Question

Find the mode of the following data. 12, 24, 36, 46, 25, 38, 72, 36, 25, 38, 12, 24, 46,25, 12, 24, 46, 25, 72, 12, 24, 36,25, 38 and 36.

Answer 1

Arranging given numbers in ascending order,

$12,12,12,12,24,24,24,24,25,25,25,25,25,36,36,36,36,38,38,38,46,46,46,72,72.$

$x$	$f$
$12$	$4$
$24$	$4$
$25$	$5$
$36$	$3$
$38$	$3$
$46$	$3$
$72$	$2$

Arranging given numbers in ascending order,

$12,12,12,12,24,24,24,24,25,25,25,25,25,36,36,36,36,38,38,38,46,46,46,72,72.$

$\Rightarrow$ From above table we can see frequency of $25$ is maximum.

$\therefore$ $Mode=25$