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Q: When can you say the distribution is considered normal?

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The normal distribution is a theory, which works in practice (with a large enough sample). E.g if you were to plot the height of everyone in the country, you should end up with a normal distribution. Hence it is not usually considered hypothetical, in the same way that, say, imaginary numbers are hypothetical.

The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.

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

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

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

It means that the probability distribution function of the variable is the Gaussian or normal distribution.

No, the normal distribution is strictly unimodal.

The domain of the normal distribution is infinite.

The standard normal distribution has a mean of 0 and a standard deviation of 1.

The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.

Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.

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