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The Normal (or Gaussian) distribution is a symmetrical probability function whose shape is determined by two values: the mean and variance (or standard deviation).

According to the law of large numbers, if you take repeated independent samples from any distribution, the means of those samples are distributed approximately normally. The greater the size of each sample, or the greater the number of samples, the more closely the results will match the normal distribution. This characteristic makes the Normal distribution central to statistical theory.

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Q: What is the characteristic of a normal distribution?
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Is not a characteristics of a normal distribution.?

Skewness is not a characteristic.


Is symmetrical a characteristic of a normal distribution?

The Normal ditribution is symmetric but so are other distributions.


What sample size is recommended in order to meet the assumption of a normal distribution even when the population of interest is not normal.?

The ideal sample size depends on a number of factors:how far from Normal the underlying distribution is.how close you need to get to a Normal distribution - in terms of the decision(s) that might be based on it and the cost of making an error.the rarity of the characteristic that you wish to study. (You might need a large sample just to ensure that you get representatives that have whatever characteristic you are studying.)


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.


Is the normal distribution infinite?

The domain of the normal distribution is infinite.


Is normal distribution also a probability distribution?

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.


How does standard normal distribution differ from normal distribution?

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


What is symmetrical normal distribution?

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