The correct option is
C 0In 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.
∙ Given dataset with an outlier in increasing order:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1156783/original_Picture103.png)
Here, the data point
1 occurs the maximum number of times, i.e.,
4.
∴ The mode of the data set with outlier is
1.
∙ Given ordered data set without outlier:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1156785/original_Picture105.png)
Here also, the data point
1 occurs the maximum number of times, i.e.,
4 times.
∴ The mode of the data set without outlier is also
1.
So, we get
mode with outlier
=1
mode without outlier
=1
Finally,
Mode with outlier
− Mode without outlier
=1−1
=0
Note:––––––– For the given data set, mostly an outlier does not change the mode.