Как пользоваться функцией LOGNORM.DIST в Excel

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ЛОГНОРМ.РАСП LOGNORM.DIST

The LOGNORM.DIST function in Microsoft Excel and Google Sheets returns the cumulative log-normal distribution of probability. A log-normal distribution is characterized by two parameters: the mean (mean) and the standard deviation (standard_dev).

Syntax

The syntax for the LOGNORM.DIST function in Excel is:

LOGNORM.DIST(x, mean, standard_dev, cumulative)

The syntax for the function in Google Sheets is:

LOGNORM.DIST(x, mean, standard_dev, cumulative)

Parameters

  • x — the value at which you want to evaluate the distribution;
  • mean — the mean of the distribution;
  • standard_dev — the standard deviation of the distribution;
  • cumulative — a logical value that determines the type of function:
    • TRUE — calculates the cumulative distribution;
    • FALSE — calculates the probability density at a given point.

Usage Examples

Let»s consider some examples where the LOGNORM.DIST function can be applied:

Example 1: Calculating Cumulative Probability

Assume we have log-normally distributed data, and we wish to determine the probability that a value will be less than or equal to a certain point x. To do this, we need to set the cumulative parameter to TRUE (or 1).

x (point) mean (mean) standard_dev (standard deviation) Result
10 5 2 =LOGNORM.DIST(10, 5, 2, TRUE)

Expected result: the probability that the value is <= 10 with a mean of 5 and a standard deviation of 2.

Example 2: Calculating Probability Density

Now, let»s examine an example where we need to calculate the probability density of a log-normal distribution at a specific point x (without considering cumulative probability). For this, the cumulative parameter should be set to FALSE (or 0).

x (point) mean (mean) standard_dev (standard deviation) Result
10 5 2 =LOGNORM.DIST(10, 5, 2, FALSE)

Expected result: the probability density of the log-normal distribution at point 10 with a mean of 5 and a standard deviation of 2.

Больше информации: https://support.microsoft.com/ru-ru/office/логнорм-расп-функция-логнорм-расп-eb60d00b-48a9-4217-be2b-6074aee6b070

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