Returns the normal distribution for the specified mean and standard deviation. This function has a very wide range of applications in statistics, including hypothesis testing.
Syntax
NORM.DIST(x,mean,standard_dev,cumulative)
The NORM.DIST function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):
 X Required. The value for which you want 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 determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.
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
The example may be easier to understand if you copy it to a blank worksheet.
How do I copy an example?
 Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.
Selecting an example from Help
 Press CTRL+C.
 Create a blank workbook or worksheet.
 In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
 To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
After you copy the example to a blank worksheet, you can adapt it to suit your needs.

A 
B 
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 (0.908789) 
=NORM.DIST(A2,A3,A4,FALSE) 
Probability mass function for the terms above (0.10934005) 
