Variance Calculator

Calculate the sample and population variance to measure how spread out values are from the mean.

Sample Variance

2.5000

Population Variance2.0000
Mean6.0000

Sample Variance vs Value 1

सूत्र देखें →

सूत्र

## How to Calculate Variance ### Population Variance **sigma^2 = Sum of (xi - mean)^2 / N** ### Sample Variance **s^2 = Sum of (xi - mean)^2 / (n - 1)** Variance measures the average squared distance of each data point from the mean. The sample variance divides by (n-1) instead of n to correct for the bias introduced by estimating the population mean from the sample (Bessel's correction).

हल किया गया उदाहरण

Find the variance of 4, 8, 6, 5, 7.

  1. 01Mean = (4 + 8 + 6 + 5 + 7) / 5 = 30 / 5 = 6
  2. 02Squared deviations: (4-6)^2=4, (8-6)^2=4, (6-6)^2=0, (5-6)^2=1, (7-6)^2=1
  3. 03Sum of squares = 4 + 4 + 0 + 1 + 1 = 10
  4. 04Population Variance = 10 / 5 = 2
  5. 05Sample Variance = 10 / 4 = 2.5