The root mean square calculator is designed to compute the quadratic mean (RMS) of a given set of numbers.
The quadratic mean (RMS) is calculated using the following formula:
RMS =  √ 

Where,
x_{1}, x_{2}, ..., x_{i} = Values in the data set,
n = Number of values in the data set.
Let's take an example:
Compute the RMS for the data set: [5, 14, 23, 6].
Step 1: Square each data point.
5^{2} = 25
14^{2} = 196
23^{2} = 529
6^{2} = 36
Step 2: Find the average (mean) of the squared values.
Mean = 

Mean = 

Mean = 196.5
Step 3: Find the square root of the mean.
RMS = √196.5
RMS = 14.0178.