Which type of distribution can be divided into three mirror image halves?

A symmetric distribution is characterized by having a balanced shape, where the left side mirrors the right side. This means that when you divide the distribution in the center, each half is an exact reflection of the other. This mirroring creates a perfect balance in terms of frequency and values on either side of the central point, typically the mean, median, and mode, which all coincide in a perfectly symmetric distribution.

In practical terms, when you graph a symmetric distribution, such as a normal distribution, you can see that the peak of the distribution is at its center, and the tails on either side decrease in a similar fashion. This property is significant in statistics because many statistical tests and methods assume that the data follow a symmetric distribution for accuracy and reliability.

Other types of distributions do not exhibit this mirroring characteristic. For instance, skewed distributions lean towards one side rather than being balanced. Uniform distributions maintain a consistent frequency across the range but don't have the mirroring feature, while bimodal distributions contain two distinct peaks, making them asymmetric and violating the concept of mirror image halves. These differences underscore why symmetric distribution is the correct response.