Normal Distribution Standard Deviation
We know that mean of any data spread out as a graph helps us to find the line of the symmetry of the graph whereas, Standard Deviation tells us how far the data is spread out from the mean value on either side. For smaller values of the standard deviation, the values in the graph come closer and the graph becomes narrower. While for higher values of the standard deviation the values in the graph are dispersed more and the graph becomes wider.
Empirical Rule of Standard Deviation
Generally, the normal distribution has a positive standard deviation and the standard deviation divides the area of the normal curve into smaller parts and each part defines the percentage of data that falls into a specific region This is called the Empirical Rule of Standard Deviation in Normal Distribution.
Empirical Rule states that,
- 68% of the data approximately fall within one standard deviation of the mean, i.e. it falls between {Mean – One Standard Deviation, and Mean + One Standard Deviation}
- 95% of the data approximately fall within two standard deviations of the mean, i.e. it falls between {Mean – Two Standard Deviation, and Mean + Two Standard Deviation}
- 99.7% of the data approximately fall within a third standard deviation of the mean, i.e. it falls between {Mean – Third Standard Deviation, and Mean + Third Standard Deviation}
Normal Distribution – Definition, Uses & Examples
Normal Distribution: Normal Distribution is the most common or normal form of distribution of Random Variables, hence the name “normal distribution.” It is also called Gaussian Distribution in Statistics or Probability. We use this distribution to represent a large number of random variables.
Let’s learn about Normal Distribution in detail, including its formula, characteristics, and examples.
Table of Content
- What is Normal Distribution?
- Normal Distribution Examples
- Normal Distribution Formula
- Normal Distribution Curve
- Normal Distribution Standard Deviation
- Normal Distribution Graph
- Normal Distribution Table
- Properties of Normal Distribution
- Normal Distribution in Statistics
- Normal Distribution Problems and Solutions