Pearson’s Second Coefficient of Skewness

Pearson’s Second Coefficient of Skewness is an alternative measure of skewness that is less influenced by outliers or extreme values in the distribution compared to Pearson’s First Coefficient of Skewness.

Pearson’s Second Coefficient Formula

Pearson’s Second Coefficient of Skewness is calculated using the following formula:

Pearson’s Second Coefficient = 3(Mean − Median)/Standard Deviation

Where,

  • Mean is the average value of the dataset.
  • Median is the central value in the dataset.
  • Standard Deviation is a measure of the amount of variation or dispersion in the dataset.

Coefficient of Skewness

Coefficient of Skewness is a statistical measure that indicates the asymmetry of data around its mean, revealing whether the data is skewed to the left, right, or is symmetrical.

By identifying the direction and degree of skewness, researchers can gain insights into the underlying patterns and characteristics of the data. In this article, we will discuss all the Coefficient of Skewness i.e., Pearson’s Coefficient, Bowley’s Coefficient, and Kelly’s Coefficient.

Table of Content

  • What is Skewness?
    • Types of Skewness
  • What is Coefficient of Skewness?
  • Pearson’s First Coefficient of Skewness
  • Pearson’s Second Coefficient of Skewness
  • Bowley’s Coefficient of Skewness
  • Kelly’s Coefficient of Skewness
  • Interpreatation of Coefficient of Skewness
  • FAQs

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What is Skewness?

Skewness is a statistical measure that describes the asymmetry of a data distribution. It indicates whether the data points are more spread out on one side of the distribution’s mean than the other. Skewness can be positive, negative, or zero, each providing insights into the shape of the distribution....

What is Coefficient of Skewness?

The coefficient of skewness is a numerical value that quantifies the degree of skewness in a probability distribution. It provides a standardized measure of the asymmetry or lack of symmetry in the distribution, allowing for comparison across different datasets or distributions....

Pearson’s First Coefficient of Skewness

Pearson’s First Coefficient of Skewness is a measure of skewness that compares the mean and the mode of a data distribution. Pearson’s First Coefficient of Skewness, also known as the moment coefficient of skewness, is one of the most widely used measures of skewness. It is used to determine the direction and extent of the skewness in the data....

Pearson’s Second Coefficient of Skewness

Pearson’s Second Coefficient of Skewness is an alternative measure of skewness that is less influenced by outliers or extreme values in the distribution compared to Pearson’s First Coefficient of Skewness....

Bowley’s Coefficient of Skewness

Bowley’s Coefficient of Skewness is a statistical measure that helps determine the skewness or asymmetry of a data distribution. It is particularly useful for identifying the direction and degree of skewness in a dataset. Unlike other measures of skewness that rely on mean and standard deviation, Bowley’s method uses quartiles, making it robust against outliers....

Kelly’s Coefficient of Skewness

Kelly’s Coefficient of Skewness is a statistical measure that helps in determining the skewness of a data distribution. It is particularly useful because it relies on percentiles, making it a robust measure against outliers and extreme values....

Interpreatation of Coefficient of Skewness

We can interpret the coefficient using it’s sign and refer to the following table:...

Conclusion

In conclusion, the coefficient of skewness is a valuable tool for understanding the asymmetry in data distribution. It helps identify whether data is skewed to the left, right, or is symmetrical. Knowing the skewness can guide better data analysis and decision-making, ensuring more accurate interpretations. Overall, it enhances our ability to understand and work with real-world data effectively....

FAQs on Coefficient of Skewness

What is the coefficient of skewness?...

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