Question

Given below is the data set for the number of states visited by the students.



$\text{Mode without outlier}=$

Answer 1

In the given data set, except $19$, all the remaining data points lie between $0$ and $10$. So, the outlier of the data set is $19$.

$\bullet$ The given dataset with the outlier in increasing order:


Here, the data point $1$ occurs the maximum number of times, i.e., $4$.

$\therefore$ The mode of the data set with outlier is $1$.

$\bullet$ The given ordered data set without the outlier:


Here also, the data point $1$ occurs the maximum number of times, i.e., $4$ times.

$\therefore$ The mode of the data set without outlier is also $1$.

So, we get
mode with outlier $=1$
mode without outlier $=1$