Variance is used to measure the variability of the values in the dataset. , Standard Deviation shows how spread out the numbers are, denoted by the symbol Sigma (σ).
A high variance describes the dataset which is more sprayed. On the other side, a low variance indicates that the dataset is highly clustered around the mean and spreads less.
Variance is defined by "The average squared differences from the mean." Using Variance, you can compute the standard deviation.
Check out: Standard Deviation Calculator?
Step 1: Enter the numbers with a separated comma in the given input box.
Step 2: Press the button to get the result.
Step 3: Check the result of your number and use it.
Mathematicians calculate Variance as the squared difference between the mean and the variance calculated from the data set. To calculate Variance, follow the following steps:
Step 1: Calculate the mean for the given set of data
Step 2: Add the mean to each number and then square the result
Step 3: Add together the squared differences to get the average.
5, 6, 7 are the set of data
To find variance,
Step 1: mean = (5 + 6 + 7)/3 = 18/3 = 6
Step 2: (5 – 6)2 + (6 – 6)2 + (7 – 6)2 = (-1)2 + 0 + (1)2
Step 3: (1 + 0 + 1)/3 = ⅔ = 0.667
Varying values in a data set tell you how much they differ from the mean, which is a measure of dispersion. In other words, it's the average of the squares of the deviations from the norm. Squaring the deviations ensures that positive and negative deviations are not canceled out.
The given calculator using the following formula to calculate variance:
Formula 1: variance of a sample
Here, n is the sample size and x-bar is the sample mean
Formula 2: variance of the entire population
Here, N is the population size and μ is the population mean.