# NORMDIST

The NORMDIST function calculates the cumulative probability of a normal distribution at a specific value or the probability density function of a normal distribution with a given mean and standard deviation.

## Syntax

=NORMDIST(`x`, `mean`, `standard_dev`, `cumulative`)

The NORMDIST function in Excel is your go-to tool when dealing with normal distributions. Whether you're exploring probabilities in statistics or analyzing data in various fields, NORMDIST swiftly calculates the cumulative probability or probability density for specific values within a normal distribution curve. This function helps you gain insights into the likelihood of certain events occurring based on the distribution's mean and standard deviation parameters. By utilizing NORMDIST, you can efficiently estimate the probabilities associated with different data points relative to a standard normal distribution curve. The cumulative parameter allows you to choose between calculating the cumulative distribution function or the probability density function, catering to your analytical needs with flexibility and precision.

## Examples

Suppose you want to find the cumulative probability of a standard normal distribution at x = 1.5. The mean is 0, the standard deviation is 1, and you want to calculate the cumulative distribution function. The NORMDIST formula would be: =NORMDIST(1.5, 0, 1, TRUE) This will give you the cumulative probability at x = 1.5 in a standard normal distribution.

If you need to determine the probability density at x = 2 in a normal distribution with a mean of 10 and a standard deviation of 3, you would use the formula: =NORMDIST(2, 10, 3, FALSE) This calculation will provide you with the probability density at x = 2 in the specified normal distribution.

## Notes

Ensure that the values provided for the x, mean, and standard_dev arguments align with the concept of a normal distribution. The cumulative parameter should be set to TRUE for cumulative distribution function and FALSE for probability density function. NORMDIST is a valuable tool for statistical analysis, aiding in the assessment of probabilities and distributions in various scenarios.

## Questions

What does the mean parameter signify in the NORMDIST function?

The mean parameter denotes the arithmetic mean of the normal distribution. It serves as a central value around which the data points are distributed, influencing the shape and characteristics of the distribution curve.

How does the NORMDIST function differ when the cumulative parameter is set to TRUE or FALSE?

When the cumulative parameter is set to TRUE, the NORMDIST function calculates the cumulative distribution function, which represents the probability that a random variable takes on a value less than or equal to x. If set to FALSE, it computes the probability density function, giving the likelihood of the random variable being exactly x in the distribution.

Can NORMDIST be applied to non-normal distributions?

While NORMDIST is specifically designed for normal distributions, it can still provide insights into probability calculations even for non-normal data. However, for accurate results and meaningful interpretations, it is advisable to use NORMDIST within the context of normal distributions.