What happens to the range if there are outliers in the data?It remains unaffectedIt decreasesIt increasesIt becomes zero

Analyzing the Impact of Outliers on Range

1. Understanding Range: The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset. Mathematically, it is expressed as: $\text{Range} = \text{Max Value} - \text{Min Value}$

2. Identifying Outliers: Outliers are data points that significantly differ from the majority of the data. They can be much higher or lower than the other values in the dataset.

3. Effect of Outliers on Range:

   • If an outlier is the maximum value, it will increase the range since the maximum value increases.
   • If an outlier is the minimum value, it will also increase the range since the minimum value decreases.
   • Therefore, in most cases, the presence of outliers will result in an increase in the range of the data.

4. Conclusion: The presence of outliers typically leads to an increase in the range of the dataset.

Final Answer

The range increases when there are outliers in the data.