For the given distribution of female weight in a colony, the quartiles are 60.1, 61.3, 62.6. The value of Bowley's coefficient of skewness is:
0.04
To compute Bowley's coefficient of skewness, we use the quartiles of the distribution. The formula for Bowley’s coefficient of skewness (Sk) is:
Sk = (Q3 + Q1 − 2Q2)/(Q3 − Q1)
Where:
- Q1 = First quartile = 60.1
- Q2 = Second quartile (median) = 61.3
- Q3 = Third quartile = 62.6
Substituting the quartile values into the formula:
Sk = (62.6 + 60.1 − 2×61.3)/(62.6 − 60.1)
Performing the calculations:
Sk = (62.6 + 60.1 − 122.6)/2.5
Sk = (122.7 − 122.6)/2.5
Sk = 0.1/2.5
Sk = 0.04
Therefore, the value of Bowley's coefficient of skewness for the distribution is 0.04.
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