Skewness Calculator
Data (space/comma separated)
✓Skewness
Skewness
0.7594
Mean
5.9091
SD
3.1130
Positively skewed (right tail)
Skewness measures the asymmetry of a probability distribution. Positive skew (right tail) means a few large values pull the mean up; negative skew (left tail) means a few small values pull it down.
- 1Sample skewness = (n/((n−1)(n−2))) × Σ((xᵢ−x̄)/s)³
- 2Symmetric: skewness ≈ 0
- 3Right-skewed: mean > median > mode
- 4Left-skewed: mean < median < mode
Income data with a few very high earners=Positively skewed (right tail); mean > median
Test scores where most are near the top=Negatively skewed (left tail)
| Skewness | Description | Example |
|---|---|---|
| < −1 | Highly left-skewed | Retirement ages |
| −1 to −0.5 | Moderately left-skewed | Top exam scores |
| −0.5 to 0.5 | Approximately symmetric | Heights |
| 0.5 to 1 | Moderately right-skewed | House prices |
| > 1 | Highly right-skewed | Wealth distribution |
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