GAUSS functionThe GAUSS function returns the probability that a random variable, drawn from a normal distribution, will be between the mean and z standard deviations above (or below) the mean. A normal distribution is also commonly known as a Gaussian distribution, from which this function gets its name.

Parts of a GAUSS formula

GAUSS(z)

Part

Description

Notes

z

The number of standard deviations from the mean.

The parameter z represents how far away from the mean a random variable might fall.

A normal distribution is characterized by a mean (μ) and a standard deviation (z * σ).

Sample formulas

GAUSS(1)

GAUSS(B2)

Notes

A negative z value causes GAUSS(z) to return a negative number.

When z uses the value in another cell (e.g. “GAUSS(B2)”), the GAUSS function returns 0 if there’s no data in the cell.

Calling GAUSS(z) asks the question, “what’s the probability that a random number will be between μ and the standard deviation z * σ?”

Examples

A

B

C

1

Function

Result

Comment

2

=GAUSS(1)

0.3413447461

Probability that a variable falls between the mean and 1 standard deviation above the mean.

3

=GAUSS(-1)

-0.3413447461

Probability that a variable falls between the mean and 1 standard deviation below the mean. Note that the result is negative.

4

=2*GAUSS(1)

0.6826894921

Probability that a variable falls within 1 standard deviation of the mean.

Related function

NORMDIST: The NORMDIST function returns the value of the normal distribution function (or normal cumulative distribution function) for a specified value, mean, and standard deviation.