Excel NORM.DIST Function
The NORM.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for the given arithmetic mean and standard deviation.
Syntax
=NORM.DIST(x, mean, standard_dev, cumulative)
Arguments
- x (required): The value for which to calculate the distribution.
- mean (required): The arithmetic mean of the distribution.
- standard_dev (required): The standard deviation of the distribution.
- cumulative (required): A logical value that specifies the type of distribution to be used:
- TRUE: Returns the cumulative distribution function (CDF);
- FALSE: Returns the probability density function (PDF).
Return Value
The NORM.DIST function returns a numeric value.
Function Notes
- The #VALUE! error occurs if x, mean or standard_dev is nonnumeric.
- The #NUM! error occurs if standard_dev ≤ 0.
Example
Supposing you have a list of values (x) as shown above, their mean and standard deviation are calculated and returned at the right side of the table. To get the cumulative distribution function of the same set of values based on the mean and standard deviation, please copy or enter the formula below in cell C4, and press Enter to get the result:
=NORM.DIST(B4,$E$4,$E$7,TRUE)
√ Note: The dollar signs ($) above indicate absolute references, which means the array argument in the formula won't change when you move or copy the formula to other cells. However, there are no dollar signs added to x since you want it to be dynamic. After entering the formula, drag the fill handle down to apply the formula to the below cells.
To get the probability density function, please copy or enter the formula below in cell C16, press Enter to get the result, and then drag the fill handle down to apply the formula to the below cells:
=NORM.DIST(B16,$E$4,$E$7,FALSE)
NORM.DIST VS. NORM.S.DIST
- NORM.DIST uses the normal distribution with the mean and standard deviation you specified;
- NORM.S.DIST uses the standard normal distribution which is a special case of the normal distribution where the mean is 0 and the standard deviation is 1.
Related functions
The NORM.INV calculates and returns the inverse of the normal cumulative distribution for the given arithmetic mean and standard deviation.
The NORM.S.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for an arithmetic mean of 0 and standard deviation of 1.
The NORM.S.INV calculates and returns the inverse of the standard normal cumulative distribution that has an arithmetic mean of 0 and standard deviation of 1 with a given probability.
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