Statistical

LOGINV Formula

Returns the inverse of the lognormal cumulative distribution function. Given a probability, it returns the value x such that the CDF of the lognormal distribution at x equals that probability. Use it to find percentile values for lognormally distributed data like income levels or equipment lifespans.

Syntax

LOGINV(probability, mean, standard_dev)
ParameterDescription
probability Parameter of the LOGINV function.
mean Parameter of the LOGINV function.
standard_dev Parameter of the LOGINV function.
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Examples

Median income from lognormal model

Formula
=LOGINV(0.5, 10.8, 0.7)
Returns ~49,021. The median income in this lognormal model is about $49K — note the median of a lognormal equals e^mean.

90th percentile equipment lifespan

Formula
=LOGINV(0.9, LN(5000), 0.4)
Returns ~8,342. 90% of equipment units are expected to last fewer than about 8,342 hours.

5th percentile for risk analysis

Formula
=LOGINV(0.05, 3.5, 1.2)
Returns ~4.68. Only 5% of outcomes fall below this value, useful as a worst-case floor in Monte Carlo simulations.

Common Errors

#NUM!

Probability must be between 0 and 1 (exclusive), and standard_dev must be positive.

#VALUE!

Occurs when arguments are non-numeric.

Tips

Use LOGNORM.INV instead

LOGINV is the legacy compatibility function. LOGNORM.INV is the modern replacement with the same behavior.

Median shortcut

LOGINV(0.5, mean, std) always equals EXP(mean) because the median of a lognormal distribution is e raised to the mean of the underlying normal.

Pair with LOGNORMDIST

These are inverse functions: LOGINV(LOGNORMDIST(x, m, s), m, s) returns x. Use them together to convert between values and probabilities.

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