Statistics & Probability
Chi-Square Calculator
Lets users solve and check chi-square instantly with formula, steps and examples — no manual math.
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Chi-square statistic
12.32
χ² = Σ(O−E)²/E = 12.32 with 3 degrees of freedom. Compare against the critical value for your significance level.
Degrees of freedom
3
About this calculator
The chi-square goodness-of-fit statistic χ² = Σ(observed − expected)²/expected measures how far observed counts deviate from expected. Degrees of freedom = categories − 1; compare χ² to the critical value.
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