What is the relationship between the normal curve and the standard deviation?
1 Answer
The standard deviation is based on the normal distribution curve.
Explanation:
The "Normal Distribution Curve" is the distribution of values around the mean of an evenly-dispersed population. That is, an equal number of value-differences from the Mean lie on each side of the mean at any given value.
The "Standard Deviation" is a calculation of the "width" of that curve based on a sample or population value. It is commonly used in a short-hand form (
For details on their derivations and significance see the following references:
https://www.mathsisfun.com/data/standard-normal-distribution.html
https://www.thoughtco.com/bell-curve-normal-distribution-defined-2312350