Work out chi square goodness of fit instantly with clear inputs, formula shown and shareable results.
The goodness-of-fit test sums (observed − expected)²/expected across categories. Large values indicate the data does not match the hypothesised distribution, judged against chi-square on k − 1 degrees of freedom.
Chi-square statistic
χ² = Σ (O − E)² / E, df = categories − 1
χ² ≈ 30.4 on 5 df, far beyond the 5% critical value of 11.07, so the die is almost certainly not fair.
The approximation degrades. A common rule requires every expected count to be at least 5.