# CHISQ.DIST

Calculates the left-tailed chi-squared distribution, often used in hypothesis testing.

### Sample Usage

`CHISQ.DIST(3.45, 2, TRUE)`

`CHISQ.DIST(A2, B2, TRUE)`

### Syntax

`CHISQ.DIST(x, degrees_freedom, cumulative)`

• `x` - The input to the chi-squared probability distribution function. The value at which to evaluate the function.

• Must be a positive number.

• `degrees_freedom` - The number of degrees of freedom of the distribution.

• `cumulative` - Logical value that determines the form of the function.

• If `TRUE: CHI.DIST` returns the left-tailed cumulative distribution function.

• If `FALSE: CHI.DIST` returns the probability density function.

### Notes

• `degrees_freedom` is truncated to an integer if a non-integer is provided.

• `degrees_freedom` must be at least `1` and may not exceed `10^10`.

• `x` and `degrees_freedom` must be numeric.

`CHIDIST`: Calculates the right-tailed chi-squared distribution, often used in hypothesis testing.

`CHIINV`: Calculates the inverse of the right-tailed chi-squared distribution.

`CHISQ.DIST.RT`: Calculates the right-tailed chi-squared distribution, which is commonly used in hypothesis testing.

`CHITEST`: Returns the probability associated with a Pearson’s chi-squared test on the two ranges of data. Determines the likelihood that the observed categorical data is drawn from an expected distribution.

`GAMMADIST`: Calculates the gamma distribution, a two-parameter continuous probability distribution.

### Example

Suppose you want to test the fairness of a 6-sided die:

• From several rolls, you obtain a chi-squared statistic of `12.3`.

• The number of degrees of freedom is `6 - 1 = 5`.

• We will evaluate the chi-squared distribution with `5` degrees of freedom when x equals `12.3`.

A B C
1 x Degrees freedom Solution
2 12.3 5 0.01223870353
3 12.3 5 =CHISQ.DIST(12.3, 5, FALSE)
4 12.3 5 =CHISQ.DIST(A2, B2, FALSE)