Symmetrical Distribution

A symmetrical distribution, also known as a normal distribution, is a type of distribution in which the mean, median, and mode are all equal. This means that the data is evenly distributed on either side of the mean.

Symmetrical distributions are often used to represent data that is normally distributed, such as the heights of people or the weights of animals. In a symmetrical distribution, the majority of the data points will be clustered around the mean, with fewer data points occurring further away from the mean.

The shape of a symmetrical distribution is often described as a bell curve. The curve is symmetrical around the mean, with the highest point of the curve occurring at the mean. The tails of the curve extend out to infinity, but the majority of the data points are clustered around the mean.

The following are some of the key characteristics of a symmetrical distribution:

* The mean, median, and mode are all equal.
* The data is evenly distributed on either side of the mean.
* The shape of the distribution is often described as a bell curve.
* The majority of the data points are clustered around the mean.
* The tails of the curve extend out to infinity.

Symmetrical distributions are often used in statistics to represent data that is normally distributed. This type of distribution is often seen in nature, and it can be used to model a variety of phenomena, such as the heights of people or the weights of animals.