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Math & Statistics

Chi-Square Test Calculator

Test goodness-of-fit between observed and expected frequencies.

Your inputs

Change any value to update the result instantly.

Math & Statistics

Chi-square statistic

3

Degrees of freedom

3

P-value

0.3916

No significant difference

Formula and working

χ² = Σ((O − E)² ÷ E)

  1. 1

    Collect the inputs

    Observed 1 = 11; Expected 1 = 10; Observed 2 = 12; Expected 2 = 10; Observed 3 = 13; Expected 3 = 10; Observed 4 = 14; Expected 4 = 10

  2. 2

    Apply the formula

    χ² = Σ((O − E)² ÷ E)

  3. 3

    Result

    Chi-square statistic = 3

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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