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Pearson Skewness Coefficient
1.5000
Pearson Skewness Coefficient vs Mean
सूत्र
How to Estimate Skewness
Pearson's Second Coefficient of Skewness
Skewness = 3 * (Mean - Median) / Standard Deviation
This is an approximation. The exact moment-based skewness requires raw data.
हल किया गया उदाहरण
A dataset has mean 55, median 50, and SD 10. Estimate the skewness.
- 01Skewness = 3 * (55 - 50) / 10
- 02= 3 * 5 / 10
- 03= 15 / 10 = 1.5
- 04Positive value indicates right skew
अक्सर पूछे जाने वाले प्रश्न
What does positive skewness mean?
The distribution has a longer right tail. Most values cluster to the left, with some high outliers pulling the mean above the median. Income distributions are typically positively skewed.
What skewness value is considered significant?
A rough guideline: |skewness| < 0.5 is approximately symmetric, 0.5-1 is moderately skewed, and > 1 is highly skewed.
Why use Pearson's approximation?
It requires only three summary statistics (mean, median, SD) rather than the entire raw dataset. It works well for unimodal, moderately skewed distributions.
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