Worked Examples · Example 7
Q.
Compute Karl Pearson's coefficient of skewness for the following distribution and comment on its shape.
| 5 | 10 | 15 | 20 | 25 | |
|---|---|---|---|---|---|
| 3 | 7 | 12 | 6 | 2 |
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| 5 | 3 | 15 | 75 |
| 10 | 7 | 70 | 700 |
| 15 | 12 | 180 | 2700 |
| 20 | 6 | 120 | 2400 |
| 25 | 2 | 50 | 1250 |
| Total | 30 | 435 | 7125 |
Mean.
Mode. The greatest frequency, , occurs at , so the mode .
Standard deviation.
Coefficient. The value is negative but very small, so the distribution is only slightly negatively skewed — almost symmetric. …
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