About Gaussian Distribution
The Gaussian distribution, also known as the normal distribution, is a continuous probability distribution characterized by its bell-shaped curve. It is defined by two parameters:
- Mean (μ): The center of the distribution.
- Standard Deviation (σ): The spread or width of the distribution.
The probability density function (PDF) of the Gaussian distribution is given by:
f(x) = (1 / (σ√(2π))) * e^(-(x-μ)² / (2σ²))
Where:
- f(x): The probability density at point x.
- μ (mu): The mean of the distribution, representing the center of the bell curve.
- σ (sigma): The standard deviation, controlling the spread or width of the curve.
- π (pi): The mathematical constant approximately equal to 3.14159.
- e: The base of the natural logarithm, approximately equal to 2.71828.
- x: The point at which the probability density is calculated.
Adjust the sliders above to see how changes in μ and σ affect the shape of the distribution.