Kurtosis Calculator

Estimate kurtosis to measure whether data tails are heavier or lighter than a normal distribution.

Kurtosis

2.0000

Excess Kurtosis-1.0000

Kurtosis vs Value 1

सूत्र देखें →

सूत्र

## How to Calculate Kurtosis ### Formula **Kurtosis = m4 / m2^2** where m4 is the fourth central moment and m2 is the second central moment (variance). **Excess Kurtosis = Kurtosis - 3** - Excess kurtosis > 0: Leptokurtic (heavier tails than normal) - Excess kurtosis = 0: Mesokurtic (similar to normal) - Excess kurtosis < 0: Platykurtic (lighter tails than normal) The normal distribution has a kurtosis of 3, so subtracting 3 gives excess kurtosis relative to normal.

हल किया गया उदाहरण

Compute the kurtosis of the values 2, 4, 4, 6.

  1. 01Mean = (2 + 4 + 4 + 6) / 4 = 4
  2. 02Deviations: -2, 0, 0, 2
  3. 03m2 = (4 + 0 + 0 + 4) / 4 = 2
  4. 04m4 = (16 + 0 + 0 + 16) / 4 = 8
  5. 05Kurtosis = 8 / 4 = 2
  6. 06Excess Kurtosis = 2 - 3 = -1 (platykurtic)