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Excel CHISQ.DIST Function

The CHISQ.DIST function returns the left-tailed probability of the chi-squared distribution. Use this function to study variation in the percentage of something across samples.

chisq-dist function 1


Syntax

=CHISQ.DIST(x,deg_freedom,cumulative)


Arguments

  • X (required): The value at which you want to evaluate the chi-squared distribution. It must be greater than or equal to 0.
  • Deg_freedom (required): The value representing the degrees of freedom. It must be greater than or equal to 1 and less than or equal to 10^10.
  • Cumulative (required): A logical value that determines the type of chi-square distribution to be calculated. If cumulative is TRUE, CHISQ.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Return value

The CHISQ.DIST function returns a numeric value.


Function notes

  1. If the deg_freedom argument is not an integer, the CHISQ.DIST function will truncate it to an integer.
  2. The #VALUE! error value occurs when any of the arguments is non-numeric.
  3. The #NUM! error value occurs if:
    • the supplied x argument is < 0
    • the supplied deg_freedom argument is < 1 or > 10^10
  4. The CHISQ.DIST function is newly introduced in Excel 2010, so it is not available in earlier versions of Excel.

Example

In this case, we want to calculate left-tailed probability of the chi-squared distribution based on the data provided in the table below, please do as follows.

1. Please copy the formula below into cell F5, then press the Enter key to get the result.

=CHISQ.DIST(B5,C5,D5)

2.Select this result cell and drag its autofill handle down to get the rest of the results.

chisq-dist function 2

Notes:

  1. We can also directly input a value in the formula. For example, the formula in cell F5 can be changed to:

    =CHISQ.DIST(20,15,TRUE)

Relative Functions:

  • Excel EVEN Function
    The EVEN function rounds numbers away from zero to the nearest even integer.

  • Excel EXP Function
    The EXP function returns the result of the constant e raised to the nth power.


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