Midrange Calculator
Free midrange calculator. Compute midrange, range, mean, median. Compare measures. Outlier sensitivi
Why This Statistical Analysis Matters
Why: Statistical calculator for analysis.
How: Enter inputs and compute results.
Midrange โ (Min + Max) / 2
Simple central tendency. Compare with mean, median, trimmed mean. See how outliers shift midrange vs median.
Real-World Scenarios โ Click to Load
Data Input
Data Plot with Min/Max Highlighted
Measure Comparison
Outlier Sensitivity Demo
Adding a high outlier: Midrange shifts from 78.50 to 110.00; Median shifts from 84.00 to 84.50.
Calculation Breakdown
For educational and informational purposes only. Verify with a qualified professional.
Key Takeaways
- โข Midrange = (min + max) / 2 โ the midpoint of the data range
- โข Range = max โ min โ measures total spread
- โข Breakdown point 0%: One outlier can completely distort the midrange
- โข Compare: Mean, median, midrange, and trimmed mean for the same data
- โข Use case: Quick estimate when data is symmetric and outlier-free
Did You Know?
How It Works
1. Find Min and Max
Sort the data and take the smallest (min) and largest (max) values.
2. Compute Midrange
Midrange = (min + max) / 2. This is the arithmetic mean of the two extremes.
3. Compare with Mean and Median
Mean uses all values; median uses the middle; midrange uses only extremes. Compare to see outlier impact.
Mean vs Median vs Midrange vs Trimmed Mean
| Measure | Formula | Breakdown Point | Use Case |
|---|---|---|---|
| Mean | ฮฃx/n | 0% | Symmetric, no outliers |
| Median | 50th percentile | 50% | Skewed or with outliers |
| Midrange | (min+max)/2 | 0% | Quick estimate, symmetric |
| Trimmed mean | Mean of middle 80% | ~10% | Compromise robustness |
Frequently Asked Questions
What is the midrange?
Midrange = (min + max) / 2. It is the midpoint of the data range and a simple measure of central tendency.
Why is midrange sensitive to outliers?
It uses only the two extreme values. One high or low outlier changes min or max, which directly shifts the midrange.
When should I use midrange?
Rarely. Use it only for symmetric, outlier-free data when you need a quick estimate. Prefer mean or median in most cases.
What is breakdown point?
The fraction of data that can be corrupted before the statistic becomes meaningless. Midrange has 0%.
What is trimmed mean?
The mean after removing a percentage (e.g., 10%) of the smallest and largest values. More robust than the ordinary mean.
Midrange by the Numbers
Official Data Sources
Disclaimer: Midrange has 0% breakdown point. Do not use it when outliers are present. Prefer median or trimmed mean for robust analysis.
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