LOGNORM.INV()/LOGINV()

Syntax. LOGNORM.INV(probability,mean,standard_dev)

Definition. This function returns the quantile of the lognormal distribution of x, where ln(x) is normally distributed with the parameters mean and standard_dev. If p = LOGNORM.DIST(x,...) then LOGNORN.INV(p,...) = x. If the probability is p, you can calculate the quantile of the lognormal distribution.

Use the lognormal distribution to analyze logarithmically transformed data.

Arguments

  • probability (required). A probability associated with the lognormal distribution

  • mean (required). The mean of the lognormal distribution

  • standard_dev (required). The standard deviation of the lognormal distribution

Note

If one of the arguments isn’t a numeric expression, the LOGNORM.INV() function returns the #VALUE! error.

If probability is less than 0 or greater than 1, the LOGNORM.INV() function returns the #NUM! error.

If standard_dev is less than or equal to 0, the function returns the #NUM! error.

Background. The inverse of the lognormal distribution function is:

image with no caption

See Also

You will find more information about lognormal distributions in the description of LOGNORM.DIST().

Example. Use the following values to calculate LOGNORM.INV():

  • 0.039084 = the probability associated with the lognormal distribution (probability)

  • 3.5 = the mean of ln(x) (mean)

  • 1.2 = the standard deviation of ln(x) (standard_dev)

Figure 12-93 shows the calculation of LOGNORM.INV().

Calculating LOGNORM.INV().

Figure 12-93. Calculating LOGNORM.INV().

The LOGNORM.INV() function returns the quantile 4.000025 of the lognormal distribution based on the parameters shown in Figure 12-93.

See Also

EXP(), LN(), LOG(), LOG10(), LOGNORM.DIST()

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