Difference Between Variance and Standard Deviation

Understanding the main difference between Variance and Standard deviation is important to know. These mathematical terms are usually used in normal mathematical equations to solve problems. Primarily Variance and Standard Deviation are used as metrics to solve statistical problems. The Standard Deviation Formula used is a formula used to measure the standard deviation in any problem. It is important to understand these differences, as they are both commonly used mathematical terms. Variance can simply be defined as a measure of variability to represent members of a group. The variance measures the closeness of data points corresponding to a greater value of variance.

Difference between Variance and Standard Deviation

Standard deviation on the other hand observes the quantifiable amount of dispersion of observations when approached with data. We must understand that Variance and Standard Deviation differ from Variances in the simple way that variances describe the variability of the observed observations while standard deviation measures the dispersion of observations within a set. However, we can find a full list of comparative differences between one and the other below:

Difference between Variance and Standard Deviation


Standard Deviation

It can simply be defined as the numerical value, which describes how variable the observations are.

It can simply be defined as the observations that get measured are measured through dispersion within a data set.

Variance is nothing but the average taken out of the squared deviations.

Standard Deviation is defined as the root of the mean square deviation

Variance is expressed in Squared units.

Standard deviation is expressed in the same units of the data available.

It is mathematically denoted as (σ2)

It is mathematically denoted as (σ)

Variance is a perfect indicator of the individuals spread out in a group.

Standard deviation is the perfect indicator of the observations in a data set.

Thus, these are the key differences between Variance and Standard deviation. To know more about math related articles, subscribe to the BYJU’s youtube channel today! You may also want to check out our related links below:

Dispersion & Mean and Variance of Random Variable

Practise This Question

Consider two equations in the variables x and y written in the standard form:
5x+6y+4=0 and
What is the nature of these two lines?