Question

Following is the data set for the number of states visited by students:

Outlier of the data set =

$\text{Mean without outlier}=$

Answer 1

We can see in the given dataset, $19$ is the largest number, and $0$ is the smallest number.

The difference between $0$ and other numbers except $19$ is smaller as compared to the difference between $19$ and other numbers.

$\therefore 19$ is the outlier in the given dataset.

Mean with outlier
Sum of dataset with outlier $=64$
Number of dataset $=16$
$\therefore$ Mean without outlier
$=\frac{64}{16}$
$=4$
Given dataset without outlier:
Mean without outlier
Sum of dataset without outlier $=45$
Number of dataset $=15$
$\therefore$ Mean without outlier
$=\frac{45}{15}$
$=3$
So, we get
$\bullet$ mean with outlier= $4$
$\bullet$ mean without outlier= $3$
Note: An outlier skews the value of the mean.