Arcsine Distribution Calculator: Mean & Variance Tool

Calculate Arcsine Distribution Parameters

Please enter the lower bound.
Please enter the upper bound.

Results:

Mean (μ):

Variance (σ²):

Use our Arcsine Distribution Calculator to effortlessly determine the mean and variance for data transformed from a uniform distribution. This essential tool simplifies complex statistical analysis, ideal for researchers, students, and analysts working with angular data or periodic processes.

Formula:

The Arcsine Distribution is a continuous probability distribution defined on the interval [a, b]. For a random variable X following this distribution:

  • Mean (μ): (a + b) / 2
  • Variance (σ²): (b - a)² / 8

Where a is the lower bound and b is the upper bound of the distribution.

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