A uniform distribution.

A uniform distribution.

A uniform distribution.

A uniform distribution.

Uniform distribution

Yes, the uniform probability distribution is symmetric about the mode. Draw the sketch of the uniform probability distribution. If we say that the distribution is uniform, then we obtain the same constant for the continuous variable.

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The uniform probability distribution is one in which the probability is the same throughout its domain, as stated above. By definition, then, there can be no value (or sub-domain) for which the probability is greater than elsewhere. In other words, a uniform probability distribution has no mode. The mode does not exist.

The distribution cannot, therefore, be symmetric about something that does not exist.

Uniform.

Uniform distribution