Question

What are the characteristics of a normal distribution?

Answer 1

Hint: To solve this question one should be aware of what a normal distribution is. To understand better, first a graph of normal distribution is to be drawn. The curve is bell-shaped, this should give an idea of how to draw the graph. By the analysis of the graph, it will be noticed the symmetry and thereby point out the characteristics of a normal distribution.

Complete step by step answer:

The normal distribution is a distribution that is observed in nature in various situations. For example, if you consider the distribution of the height of people, you will notice that the majority of the people will be under the average height and a smaller number of people will be under shorter height length and an even smaller number of people will be under the shorter category.
The characteristics or properties of a normal distribution is that
The median, mode, and mean are all equal
At the center, that is around the mean, the curve is symmetric
Exactly half of the values are to the right of the center and another exactly half of the values are to the left of the center
The total area under the bell curve is one.

Note:
The mean of a set of data is basically the average. The number that is most common in the data set is the mode. The median is the middle of a set of numbers. So in a normal distribution the mean, mode, and median are all equal. The normal distribution can be used to determine the proportion of the data set that falls under a specified value of standard deviations from the mean.