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Outliers are data that are relatively far from other data elements.
The dataset has an outlier and the outlier is 120
The dataset is given as:
- 91 83 84 79 91 93 95 97 97 120 101 105 98
Sort the dataset in ascending order
- 79 83 84 91 91 93 95 97 97 98 101 105 120
The Q1 is then calculated as:
So, we have:
This is the average of the 3rd and the 4th element
The Q3 is then calculated as:
So, we have:
This is the average of the 10th and the 11th element.
The IQR is then calculated as:
Also, we have:
The lower and the upper outlier range are calculated as follows:
120 is greater than 117.5.
Hence, the dataset has an outlier and the outlier is 120
Read more about outliers at: