Mean Median Mode Calculator
Mean Median Mode Calculator
Mean, median, mode from one value list.
InputsValue list8 entriesLive
Mean
5
Used 8/8 values
Live update
Median 4.5
Distribution
Used
8/8
Median
4.5
Range
7
Mode: 4
Advanced options
Input tools
Distribution and quartiles
Histogram
2 - 2.88
1
2.88 - 3.75
0
3.75 - 4.63
3
4.63 - 5.5
2
5.5 - 6.38
0
6.38 - 7.25
1
7.25 - 8.13
0
8.13 - 9
1
Quartile summary
Min: 2
Q1: 4
Median: 4.5
Q3: 6
Max: 9
IQR: 2
Outlier fences: [1, 9]
Formula
Mean sum/n Median middle ordered value Mode highest-frequency value Symbol legend
| Symbol | Meaning | Unit | Copy |
|---|---|---|---|
\bar{x} | Mean value | data unit | |
\text{Median} | Middle ordered value | data unit | |
\text{Mode} | Most frequent value(s) | data unit |
- Mean shows arithmetic average level.
- Median shows center position in sorted data.
- Mode shows most frequent value pattern.
- IQR fences flag potential outliers and can be used to exclude extreme points.
Example
Worked example with outlier check: 10, 12, 13, 14, 15, 16, 17, 400
- 1 Include-all mode reports mean strongly pulled by 400 while median remains near center.
- 2 Outlier exclusion applies IQR fences and removes extreme points outside range.
- 3 Compare both outputs to explain skew impact before reporting final center metric.
Median remains stable while outlier-aware mean becomes representative for the core dataset.
How
- Enter values manually or import a CSV list.
- Choose include-all or outlier-exclusion mode (IQR fences).
- Review mean/median/mode cards, histogram, and box summary.
- Use linked variance and sample-size calculators for deeper follow-up.
Avoid
- Reporting mean without checking outlier impact.
- Assuming median and mode must always match.
- Ignoring histogram and box-summary context when distribution is skewed.
FAQ
Can I import CSV data?
Yes. Upload a CSV or text file and the tool extracts numeric values automatically.
What does outlier exclusion do?
It uses IQR fences (Q1 minus 1.5 times IQR, Q3 plus 1.5 times IQR) to exclude extreme values before recomputing mean, median, and mode.
Why does this page include histogram and box summary?
These diagnostics show distribution shape and spread so central-tendency numbers are interpreted with context.
Switch
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