Skewness Calculator

Comprehending the distribution characteristics of a dataset is crucial in fields such as statistics, data analysis, finance, risk evaluation, and research. Our Skewness Calculator allows you to quickly identify if your dataset is symmetrical, left-skewed, or right-skewed, thereby conserving time and ensuring precision.

What Is Skewness?

Skewness is a statistical measure that describes the asymmetry of a probability distribution. In simple terms, it tells you how your dataset leans:

• Right-skewed (positive skew):
  Tail extends to the right. Mean > Median.
• Left-skewed (negative skew):
  Tail extends to the left. Mean < Median.
• Zero skew (symmetrical):
  Data is evenly distributed around the mean, like a bell curve.

Skewness helps analysts:

• Understand the distribution shape
• Detect outliers and anomalies
• Improve forecasting models
• Analyze risk (especially in finance)
• Decide which statistical tests or transformations to apply

Formula for Skewness

Skewness (Fisher-Pearson) Formula

This is the most commonly used formula:

$$\text{Skewness =}\frac{\sum _{}^{}{(x_n-\bar{x})}^3\times N}{(N-2)\times (N-1)\times s^3}$$

Where:

• N= sample size
• s = sample standard deviation
• x_n = each data value

$\bar{x}=\text{mean of the dataset}$

This version adjusts for small-sample bias and is widely used in statistics software.

Interpreting Skewness Values

Skewness Value                                       Interpretation

= 0                                                             Perfectly symmetrical

> 0                                                             Right-skewed (positive)

< 0                                                             Left-skewed (negative)

+1 or above                                              Highly right-skewed

–1 or below                                               Highly left-skewed

We can describe distributions with a skewness between -0.5 and 0.5 as approximately symmetric, distributions with a skewness between -1 and -0.5 and 0.5 and 1 as moderately skewed, and distributions with a skewness lower than -1 or higher than 1 as substantially skewed.

How to Find the Skewness Using Our Calculator?

• Enter the values separated by a comma, a space, or a new line.
• Click “Calculate” and the tool automatically computes Skewness, Mean, and Standard Deviation.