Standard Deviation Calculator

Calculate the sample and population standard deviation to quantify how spread out values are.

Sample Standard Deviation

1.581139

Population Standard Deviation1.414214
Mean6.0000

Sample Standard Deviation vs Value 1

सूत्र देखें →

सूत्र

## How to Calculate Standard Deviation ### Formula **Population SD (sigma) = sqrt( Sum of (xi - mean)^2 / N )** **Sample SD (s) = sqrt( Sum of (xi - mean)^2 / (n - 1) )** Standard deviation is the square root of the variance and is expressed in the same units as the original data. About 68% of data in a normal distribution falls within one standard deviation of the mean.

हल किया गया उदाहरण

Find the standard deviation of 4, 8, 6, 5, 7.

  1. 01Mean = 30 / 5 = 6
  2. 02Squared deviations: 4, 4, 0, 1, 1
  3. 03Sum of squares = 10
  4. 04Sample SD = sqrt(10 / 4) = sqrt(2.5) ≈ 1.5811
  5. 05Population SD = sqrt(10 / 5) = sqrt(2) ≈ 1.4142