Homework Answers
Pearson’s First Coefficient of Skewness formula = (mean-mode)/standard deviation
mean and mode are calculated in following table
SD = Square root((Sum of (mean-X)^2)/n)
| X | Mean-X | (Mean-X)^2 | |
| 91 | 19.5 | 380.25 | |
| 62 | -9.5 | 90.25 | |
| 54 | -17.5 | 306.25 | |
| 72 | 0.5 | 0.25 | |
| 76 | 4.5 | 20.25 | |
| 84 | 12.5 | 156.25 | |
| 38 | -33.5 | 1122.25 | |
| 76 | 4.5 | 20.25 | |
| 70 | -1.5 | 2.25 | |
| 84 | 12.5 | 156.25 | |
| 59 | -12.5 | 156.25 | |
| 82 | 10.5 | 110.25 | |
| 76 | 4.5 | 20.25 | |
| 74 | 2.5 | 6.25 | |
| 52 | -19.5 | 380.25 | |
| 76 | 4.5 | 20.25 | |
| 85 | 13.5 | 182.25 | |
| 76 | 4.5 | 20.25 | |
| Mean | 71.5 | Sum | 3150.5 |
| Mode | 76 |
SD = sqrt(3150.2/18) = 13.23
So, Pearson’s first Coefficient of Skewness = (71.5 - 76)/12.23 = -0.34
Add Answer to:
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