Statistics

Index of Qualitative Variation Calculator

Find the IQV for categorical data.

Calculated Output

IQV 1

Formula: IQV = k(N² − Σf²) ÷ (N²(k − 1))

Step-by-Step Breakdown

1. Values used:

2. Category 1 count = 25

3. Category 2 count = 25

4. Category 3 count = 25

5. Category 4 count = 25

7. IQV = Category 1 count / Category 2 count = 25 / 25 = 1

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The math behind it

IQV = k(N² − Σf²) ÷ (N²(k − 1)). It ranges from 0 (all in one category) to 1 (perfectly even).

Four categories of 25 each → IQV = 1 (maximum variation).

Why not use variance?

Variance needs numbers; IQV works for nominal categories.