Question

Why is the normal distribution so important?

Answer 1

Normal distribution:

The normal distribution is defined by the probability density function for a continuous random variable in a system.

Normal distribution formula:

$f\left(x,\mu ,\sigma \right)=\frac{1}{\sigma \sqrt{2\mathrm{\pi }}}{e}^{\frac{-{\left(x-\mu \right)}^2}{2{\sigma }^2}}$ , where $x$ is a variable, $\mu$ is a mean, and $\sigma$ is a standard deviation

Importance of normal distribution:

• The normal distribution is important in the field of statistics because it is known to fit several natural phenomena.
• It is used in the field of Economics, Psychology, Sociology, etc.
• It is used in the field of medicine for instance, regarding blood pressure, heights, IQ scores, and measurement error.