• X Required. The value for which you want the distribution.
  • Mean Required. The arithmetic mean of the distribution.
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  • Standard_dev Required. The standard deviation of the distribution.
  • Cumulative Required. A logical value that determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.
Normal distribution tableau

Remarks

  • If mean or standard_dev is nonnumeric, NORM.DIST returns the #VALUE! error value.
  • If standard_dev ≤ 0, NORM.DIST returns the #NUM! error value.
  • If mean = 0, standard_dev = 1, and cumulative = TRUE, NORM.DIST returns the standard normal distribution, NORM.S.DIST.
  • The equation for the normal density function (cumulative = FALSE) is:
  • When cumulative = TRUE, the formula is the integral from negative infinity to x of the given formula.

Example

NORMAL DISTRIBUTION TABLE Entries represent the area under the standardized normal distribution from f to z Z z, Pr( ) The value of z to the first decimal is given in the left column. Jump to Standard Normal Distribution Table - Standard Normal Distribution Graph (above zero). RAPID TABLES. Recommend Site; Send Feedback.

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Normal
Data
Description
42
Value for which you want the distribution
40
Arithmetic mean of the distribution
1.5
Standard deviation of the distribution
Formula
Description
Result
=NORM.DIST(A2,A3,A4,TRUE)
Cumulative distribution function for the terms above
0.9087888
=NORM.DIST(A2,A3,A4,FALSE)
Probability mass function for the terms above
0.10934