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Most random variables are found to follow the probability distribution function

All this means is that most things which can be measured quantitatively, like a population's height, the accuracy of a machine, effectiveness of a drug on fighting bacteria, etc. will occur with a probability that can be calculated according to this equation. Since most things follow this equation, this equation is considered to be the "normal" probability density. "Normal" events follow a "normal" probability distribution.

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Q: Why normal distribution is called normal distribution?
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Related questions

What is a bell-shaped distribution in statistics?

It is called a normal distribution.


What is a normal data set?

A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.


What is a normal distribution graph called?

It has no special name - other than a normal (or Gaussian) distribution graph.


What is the distribution with an means of 0 and a standard deviation of 1?

It is called a standard normal distribution.


Why is the Normal Distribution called normal?

Suppose you could call it the Gaussian Distribution or the Laplace-Gauss (not to be confused with the Laplace distribution which takes an absolute difference from the mean rather than a squared error)... however the Brits had no one to name this distribution after (not the German and French names) and because it is the ubiquitous distribution they just called it... well the NORMAL!!


What is the area under the standard normal distribution called?

One.


Why is the normal probability distribution called a family of normal probability distribution?

Because very many variables tend to have the Gaussian distribution. Furthermore, even if the underlying distribution is non-Gaussian, the distribution of the means of repeated samples will be Gaussian. As a result, the Gaussian distributions are also referred to as Normal.


What is the difference between a normal distribution and the standard normal distribution?

The standard normal distribution is a normal distribution with mean 0 and variance 1.


What is the difference of a normal distribution and a stardard normal distribution?

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.


Is continuous distribution normal distribution?

le standard normal distribution is a normal distribution who has mean 0 and variance 1


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


Does a normal probability distribution include a bimodal distribution?

No, the normal distribution is strictly unimodal.