Question

The following temperatures were recorded (in ${}^{o}F$) on each day for two weeks.

$82$	$73$	$83$	$75$	$80$	$78$	$82$
$73$	$50$	$79$	$80$	$78$	$83$	$105$

The sum of outliers in the given dataset is .

Answer 1

On arranging the given dataset in increasing order, we get:

$\underset{–}{50}$	$73$	$73$	$75$	$78$	$78$	$79$
$80$	$80$	$82$	$82$	$83$	$83$	$\underset{–}{105}$

In the above data set, except the numbers $50$ and $105$, all the remaining data points lie between $70$ and $85$.

Hence, $50$ and $105$ are the outliers of the given data set.

$\therefore$ The sum of outliers= $50+105=155$.