मुफ्त प्रसरण कैलकुलेटर
डेटा सेट का प्रसरण (वेरिएंस) निकालें। संख्याएं दर्ज करके जनसंख्या और प्रतिदर्श प्रसरण पाएं।
Variance Pop
2.666667
Variance Sample4.000000
मानक विचलन1.632993
माध्य6.0000
सूत्र
## How to Calculate Variance ### Formula (Population Variance) **σ² = Σ(xᵢ - μ)² / N** ### Steps 1. Find the mean (μ) 2. Subtract the mean from each value 3. Square each difference 4. Find the average of the squared differences Variance is the square of the standard deviation.
हल किया गया उदाहरण
Find the variance of 4, 8, and 6.
- 01Mean = (4 + 8 + 6) / 3 = 6
- 02Squared differences: (4-6)² = 4, (8-6)² = 4, (6-6)² = 0
- 03Variance (population) = (4 + 4 + 0) / 3 = 2.6667
- 04Variance (sample) = (4 + 4 + 0) / 2 = 4
अक्सर पूछे जाने वाले प्रश्न
What is variance?
Variance measures how far a set of numbers is spread out from their average value. It is the average of the squared differences from the mean.
Why do we square the differences?
Squaring removes negative signs (so deviations above and below the mean don't cancel out) and gives more weight to larger deviations.
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