B Com > Business Mathematics and Statistics > Bowley's coefficient of Skewness - Index Numbers, Business Mathematics and Statistics
Bowley's coefficient of Skewness - Index Numbers, Business Mathematics and Statistics Video Lecture - Business Mathematics and Statistics - B Com
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FAQs on Bowley's coefficient of Skewness - Index Numbers, Business Mathematics and Statistics Video Lecture - Business Mathematics and Statistics - B Com
| 1. What is Bowley's coefficient of skewness? |  |
Ans. Bowley's coefficient of skewness is a measure of the asymmetry or skewness of a distribution. It is calculated by dividing the difference between the median and the mode by the semi-interquartile range (half of the interquartile range). The coefficient can be positive or negative, indicating the direction of skewness.
| 2. How is Bowley's coefficient of skewness calculated? | |
Ans. Bowley's coefficient of skewness can be calculated using the formula: Sk = (Q1 + Q3 - 2Me) / (Q3 - Q1), where Q1 is the first quartile, Q3 is the third quartile, and Me is the median. The resulting value will indicate the degree and direction of skewness in the distribution.
| 3. What does a positive Bowley's coefficient of skewness indicate? | |
Ans. A positive Bowley's coefficient of skewness indicates a right-skewed distribution. In such a distribution, the tail of the distribution extends towards the higher values, and the median is typically lower than the mode. This suggests that there are more values concentrated towards the lower end of the distribution.
| 4. What does a negative Bowley's coefficient of skewness indicate? | |
Ans. A negative Bowley's coefficient of skewness indicates a left-skewed distribution. In this type of distribution, the tail of the distribution extends towards the lower values, and the median is typically higher than the mode. This suggests that there are more values concentrated towards the higher end of the distribution.
| 5. How can Bowley's coefficient of skewness be interpreted? | |
Ans. Bowley's coefficient of skewness provides a measure of the asymmetry of a distribution. The magnitude of the coefficient indicates the degree of skewness, while the sign (positive or negative) indicates the direction of the skewness. A coefficient close to zero suggests a symmetric distribution, while a larger positive or negative coefficient suggests increasing levels of skewness. This measure is useful in understanding the shape and characteristics of a dataset.
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