Given:
Consider the file sizes (in megabytes) for 18 randomly selected files on Gabriel's mp3 player are shown in the below figure.
To find:
The outliers in the distribution.
Solution:
We have, the given data set
2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0
Arrange the data in ascending order.
1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,
Divide the data in 4 equal parts.
(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)
It is clear that,
Now,
All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.
