Std Dev. A low standard deviation indicates that the values tend to be close to the mean also called the expected value of the set while a high standard deviation indicates that the values are spread out over a wider range. Then subtract the mean from all of the numbers in your data set and square each of the differences.
The standard deviation is a measure of how spread out numbers are. Here is a free online arithmetic standard deviation calculator to help you solve your statistical questions. In mathematical notation these facts can be expressed as follows where χ is an observation from.
In statistics standard deviation sd is the measure of dispersement of the numbers in a set of data from its mean value.
The standard deviation is a measure of how spread out numbers are. The lower the standard deviation the closer the data points tend to be to the mean or expected value μ. This is represented using the symbol σ sigma. Standard deviation can be difficult to interpret as a single number on its own.