NORMDIST

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

NORMDIST(x,mean,standard_dev,cumulative)

X    is the value for which you want the distribution.

Mean    is the arithmetic mean of the distribution.

Standard_dev    is the standard deviation of the distribution.

Cumulative    is a logical value that determines the form of the function. If cumulative is TRUE, NORMDIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.

Remarks

• If mean or standard_dev is nonnumeric, NORMDIST returns the #VALUE! error value.
• If standard_dev ≤ 0, NORMDIST returns the #NUM! error value.
• If mean = 0, standard_dev = 1, and cumulative = TRUE, NORMDIST returns the standard normal distribution, NORMSDIST.
• 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