NORMDIST
The NORMDIST function returns the cumulative probability of a normal distribution at a specified value or the probability density function. It requires a given mean and standard deviation as inputs. Use it for statistical analysis involving normal distributions.
Syntax 🔗
=NORMDIST(x, mean, standard_dev, cumulative)
x | The value at which to evaluate the distribution. |
mean | The arithmetic mean of the distribution. |
standard_dev | The standard deviation of the distribution. |
cumulative | A logical value that determines the form of the function: TRUE for the cumulative distribution function, FALSE for the probability density function. |
About NORMDIST 🔗
The NORMDIST function in Excel helps you work with normal distributions. Use it to calculate either the cumulative probability or probability density for specific values within a normal distribution curve. This function is useful for analyzing the likelihood of events based on the distribution's mean and standard deviation. By using NORMDIST, you can estimate the probabilities associated with different data points. The cumulative parameter lets you choose between calculating the cumulative distribution function or the probability density function, offering flexibility for your analysis.
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. Use the formula: =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, use this 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 you provide for the x, mean, and standard_dev arguments align with the concept of a normal distribution. Set the cumulative parameter to TRUE for the cumulative distribution function or FALSE for the probability density function. Use NORMDIST to assess probabilities and distributions in various scenarios.
Questions 🔗
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.