Universal Converter Pro

Standard Deviation Calculator

Calculate the standard deviation, variance, and mean of a sample data set. Enter numbers separated by commas.

Related Math & Statistics Calculators

How to Use the Standard Deviation Calculator

  1. Enter Data: Input your data set into the text area. The numbers must be separated by commas. Spaces are ignored.
  2. Choose Type: Select whether your data represents a "Sample" of a larger population or the "Population" itself. This choice affects the formula used for variance.
  3. Calculate: See the results for count, mean, variance, and standard deviation.

Frequently Asked Questions (FAQ)

What is the difference between Sample and Population?

A **Population** includes all members of a specified group (e.g., all students in a school). A **Sample** is a subset of that population (e.g., 50 students from that school). In statistics, the formula to calculate variance is slightly different for a sample (dividing by n-1) versus a population (dividing by n) to provide a better estimate.

What does standard deviation tell me?

Standard deviation is a measure of how spread out the numbers in a data set are from the mean (average). A low standard deviation means the data points tend to be very close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.

« Back to All Categories