Table of Contents
What Is the Midrange?
The midrange is the arithmetic mean of the maximum and minimum values in a dataset. It provides a quick estimate of the center of the data based only on the extreme values. While simple to calculate, it is heavily influenced by outliers.
The midrange is sometimes used as a quick approximation when more sophisticated calculations are not needed, or in situations where only the extreme values are known, such as weather reports showing high and low temperatures.
Formula
The midrange is simply the point halfway between the smallest and largest values. For example, if temperatures range from 50 to 80 degrees, the midrange is 65 degrees.
Comparison with Other Measures
| Measure | Uses | Robustness |
|---|---|---|
| Midrange | Only min and max | Very low |
| Mean | All values | Low |
| Median | Middle value | High |
| Trimmed Mean | Central values only | Moderate |
Frequently Asked Questions
When is the midrange useful?
The midrange is useful for quick estimates, when data is symmetric with no outliers, or when only the extremes are available (like daily high/low temperatures). It is also used in some industrial quality control applications.
Why is the midrange not commonly used?
The midrange depends only on extreme values, making it very sensitive to outliers. A single extreme value can drastically change the midrange. For most applications, the mean or median is preferred.
Is the midrange the same as the median?
No. The median is the middle value of sorted data, while the midrange is the average of the min and max. They are only equal when the data is perfectly symmetric around the center.