Why Normal Distribution Is Symmetric?

A normal distribution comes with a perfectly symmetrical shape. This means that the distribution curve can be divided in the middle to produce two equal halves. The symmetric shape occurs when one-half of the observations fall on each side of the curve.

What does it mean when a distribution is symmetric?

A symmetrical distribution occurs when the values of variables appear at regular frequencies and often the mean, median, and mode all occur at the same point. ... In graphical form, symmetrical distributions may appear as a normal distribution (i.e., bell curve).

Is a normal distribution perfectly symmetric?

Normal (Gaussian) Distributions

It is bell-shaped with a single peak in the center, and it is symmetrical. If the distribution is perfectly symmetrical with a single peak in the center, then the mean value, the mode , and the median will be all be the same.