Standard Deviation Formula
There are two formulas for the standard deviation listed as follows:
- Population Standard Deviation
- Sample Standard Deviation
Formula for Population Standard Deviation
The mathematical formula to find the standard deviation of the given data is,
s =
Where,
- σ is the Standard Deviation of the Population,
- N is the Number of Observation in the Population,
- Xi is the ith observation in the Population, and
- μ is the mean of the Population
This formula is also called the Population standard deviation formula as it is used for finding the standard deviation in the population data.
Formula for Sample Standard Deviation
Also, the other formula for finding the standard deviation is the sample space i.e. sample variance formula is discussed in the image below,
Learn more about, Standard Deviation Formula
Variance and Standard Deviation
Variance and Standard Deviation are the important measures used in Mathematics and Statics to find the meaning from a large set of data. The different formulas for Variance and Standard Deviation are highly used in mathematics to determine the trends of various values in mathematics. Variance is the measure of how the data points vary according to the mean while standard deviation is the measure of the central tendency of the distribution of the data.
The major difference between variance and standard deviation is in their units of measurement. Standard deviation is measured in a unit similar to the units of the mean of data, whereas the variance is measured in squared units.
Here in this article, we will learn about variance and standard deviation including their definitions, formulas, and their differences along with suitable examples in detail.
Table of Content
- Variance
- Variance Formula
- Standard Deviation
- Standard Deviation Formula
- Relation between Standard Deviation and Variance
- Differences Between Standard Deviation and Variance