Chi square online calculator

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In probability and statistics, Chi square statistic is useful in analyzing data from categorical variables and is the measure of what is expected compared to what is observed in the distribution. Chi square online calculator is the online tool helpful in finding Chi square for any given distribution.


Example 1: Assuming the data is normally distributed, what is the probability chi- square statistic, when given the sample variance is 0.75 and hypothesized population variance is 1. Given the degree of freedom = 5.

X2 = (n – 1)S2/ σ2

Where X2 = Chi square statistic value

n = sample size, S2 = sample variance and σ2 = hypothesized population variance.

The chi-square distribution has the degrees of freedom = (n-1) = 5

X2 = 5 * (0.75)2/ (1)2

X2 = 2.81



Example 2:Consider a sales department which deals with sales distribution whose sample variance is 0.86 and hypothesized population variance is 1. If the sample size is 8, then what is the probability chi-square statistic of this distribution?

X2 = (n – 1)S2/ σ2

Where X2 = Chi square statistic value

n = sample size, S2 = sample variance and σ2 = hypothesized population variance.

The chi-square distribution has the degrees of freedom = (n-1) = 8 – 1 = 7

X2 = 7 * (0.86)2/ (1)2

X2 = 5.18


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