Normal Distribution?

Question

can someone please explain what Normal Distribution in the most basic way they can.

thank you :-)

Answer 1

The normal distribution is the most commonly used distribution in statistics. It is often called the "bell curve" because the graph of the distribution is shaped like a bell. Since it looks like a bell, this distribution is symmetric, meaning that there is a point right in the middle of the distribution where there is a mirror image on one side or another. If you know the mean and the standard deviation of a normal distribution, then you know everything there is to know about the normal.

The mean is found where that point where the distribution has a mirror image on side and the other. That value is also where the normal is split in half, so it is also the median. It is also the highest point of the graph, so it is also the mode. So, for the normal, the mean, median, and mode are all the same value.

The total area under the normal curve is equal to 1 or 100%. Thus, finding areas above or below particular value on the normal curve is just like finding probabilities.

Answer 2

The probability density of the normal distribution is: Here, is the mean or expectation of the distribution (and also its median and mode). The parameter is its standard deviation with its variance then . A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate. Check this link for a short tutorial https://bluebookacademy.com/courses/common-probability-distributions-8db20904-ccd7-4210-84eb-c5eb25be5b42/video/properties-of-a-normal-distribution

Answer 3

No, thank google:

Here is a briefer explanation: http://www-stat.stanford.edu/~naras/jsm/NormalDensity/NormalDensity.html

And here is the longer one from wikipedia: http://en.wikipedia.org/wiki/Normal_distribution