Calculate the midrange — the arithmetic mean of the maximum and minimum values — along with range, mean, and count for a dataset.
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5
Midrange
1
Minimum
9
Maximum
| Midrange ((max + min) / 2) | 5 |
| Minimum | 1 |
| Maximum | 9 |
| Range (max − min) | 8 |
| Mean | 5 |
| Count (n) | 5 |
Also in Statistics
Descriptive Statistics
The midrange is the arithmetic mean of the maximum and minimum values in a dataset: midrange = (max + min) / 2. It is the simplest possible measure of central tendency, requiring only two values from the entire dataset.
The midrange is the geometric centre of the range — the value halfway between the largest and smallest observations. For a perfectly symmetric, uniformly distributed dataset, the midrange will equal the mean and median.
Practical use cases are narrow: daily temperature midpoint ((high + low) / 2), the centre of a price range, or quick mental estimates. For most statistical purposes, the mean or median is preferred because they use information from all data points.
The midrange is the most outlier-sensitive central tendency measure — it depends entirely on the two most extreme values. A single outlier immediately changes it.
Compare with: mean (sensitive to all values proportionally), median (uses middle value only), mode (uses most frequent value). The midrange is mainly useful for symmetric, well-bounded distributions such as uniformly distributed data.
Frequently asked questions
The midrange equals the true mean for uniformly distributed data and is the maximum likelihood estimator for the mean of a continuous uniform distribution. Outside these specific conditions, it is generally outperformed by the mean or median.
Mean uses all values and is best for normally distributed data. Median uses the middle value and is robust to outliers. Midrange uses only the two extreme values and is the least robust. For a symmetric dataset with no outliers, all three will be similar.
Yes, especially with outliers. For [1, 2, 3, 4, 100]: mean = 22, midrange = (100+1)/2 = 50.5, median = 3. The midrange is pulled far above the bulk of the data by the single extreme value.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
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