The range of data is found by calculating the difference between the highest and lowest values in a dataset.
Understanding Range
The range is a simple measure of variability. It provides a quick indication of how spread out the data is.
Calculating the Range
To find the range, follow these steps:
- Identify the highest value in the dataset.
- Identify the lowest value in the dataset.
- Subtract the lowest value from the highest value.
Formula
Range = Highest Value – Lowest Value
Example
Consider the following data set: {2, 5, 8, 10, 3}
- Highest Value: 10
- Lowest Value: 2
- Range: 10 – 2 = 8
Therefore, the range of this data set is 8. The reference confirms this, stating: "The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8. Thus, the range could also be defined as the difference between the highest observation and lowest observation."
Practical Insights
- The range is easy to calculate.
- The range is sensitive to outliers (extreme values). A single outlier can significantly affect the range.
- It only considers the extreme values and ignores the distribution of the data between them.