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Skewness Coefficient Calculator Online

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Skewness is a measure that quantifies the degree of asymmetry of a distribution around its mean. Positive skewness indicates a distribution with an asymmetric tail extending towards more positive values, while negative skewness indicates a distribution that tails towards more negative values. The Skewness Coefficient Calculator provides a numeric value representing this asymmetry, aiding analysts and researchers in interpreting data more effectively.

Formula of Skewness Coefficient Calculator

The formula to calculate skewness is

Skewness Coefficient

Here:

  • n represents the number of observations in your dataset.
  • x_i is each individual data point.
  • is the average or mean of the dataset.
  • s is the standard deviation, which measures the dispersion of a dataset relative to its mean.
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Application Table

To aid in practical applications, here is a table with common skewness values:

Skewness ValueInterpretation
Near 0Fairly symmetrical distribution
Greater than 0Data is skewed to the right
Less than 0Data is skewed to the left

This table helps users understand common results without needing to perform calculations manually each time.

Example of Skewness Coefficient Calculator

Consider a dataset with the following values: 3, 4, 5, 6, 7, 18. Let’s calculate the skewness.

  • Mean (x̄): 7.17
  • Standard Deviation (s): 5.77
  • Calculation using the skewness formula provides a skewness coefficient, indicating significant positive skew due to the value 18.

Most Common FAQs

Q: How does the Skewness Coefficient Calculator assist in data analysis?

A: It quantifies the direction and degree of skew, helping predict and interpret dataset behaviors.

Q: What can be inferred from different skewness values?

A: A positive skew indicates that most values are concentrated on the left with some outliers on the right. A negative skew indicates a concentration on the right.

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