Statistical

LOGNORMDIST Formula

Returns the cumulative lognormal distribution for a given value x. This is the legacy compatibility version of LOGNORM.DIST with cumulative=TRUE. It is commonly used in financial modeling where asset prices follow a lognormal distribution.

Syntax

LOGNORMDIST(x, mean, standard_dev)
ParameterDescription
x Parameter of the LOGNORMDIST function.
mean Parameter of the LOGNORMDIST function.
standard_dev Parameter of the LOGNORMDIST function.
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Examples

Cumulative probability for asset price

Formula
=LOGNORMDIST(50, 3.5, 0.8)
Returns ~0.3735. About 37% of the distribution falls at or below x=50 given mean=3.5 and std=0.8 of the log-transformed values.

Probability of completing within time

Formula
=LOGNORMDIST(30, LN(20), 0.5)
Returns ~0.7939. If task completion times are lognormally distributed with geometric mean 20 days, there's about a 79% chance of finishing within 30 days.

Quality threshold probability

Formula
=LOGNORMDIST(100, 4, 0.6)
Returns the probability that a lognormally distributed measurement stays at or below 100.

Common Errors

#NUM!

x must be positive and standard_dev must be greater than 0.

#VALUE!

Occurs when any argument is non-numeric text.

Tips

Always returns cumulative

Unlike LOGNORM.DIST, this function has no cumulative toggle — it always returns the CDF. Use LOGNORM.DIST(x, mean, std, FALSE) if you need the PDF.

Migrate to LOGNORM.DIST

LOGNORMDIST is kept for backward compatibility. Use LOGNORM.DIST in new spreadsheets for clarity and access to the PDF option.

Check your parameters

Remember that mean and standard_dev describe the distribution of ln(x), not x itself. If your raw data has mean 100, the lognormal mean parameter should be around LN(100) = 4.6.

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