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No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.

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12y ago
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12y ago

No. There are many symmetrical distributions that are not Normal. A simple one is the uniform distribution:

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Q: Are all symmetric distribution are normal?
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Does this means that all symmetric distribution are normal?

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Does this means that all symmetric distribution are normal Explain?

Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.


Can a normal distribution curve be symmetric or left-skewed or right-skewed?

Symmetric


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.


What is the relation between mean mode median in symmetric normal distribution?

They are all the same.


Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?

No, not all distributions are symmetrical, and not all distributions have a single peak.


Normal distribution is symmetric about mean or median or mode?

Mean


How the symmetric distribution is always normal?

The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


When your sample data is all negative values how can you convert it for use on a normal distribution?

The data from a normal distribution are symmetric about its mean, not about zero. There is, therefore nothing strange about all the values being negative.


Is symmetrical a characteristic of a normal distribution?

The Normal ditribution is symmetric but so are other distributions.


What type of probability distribution is the normal distribution?

It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.


What is the important similarity between the uniform and normal probability distribution?

They are both continuous, symmetric distribution functions.