Intend to calculate the first and third quartiles of a lognormal distribution with mu and sigma (two

Manteo2h 2022-06-26 Answered
Intend to calculate the first and third quartiles of a lognormal distribution with mu and sigma (two lognormal parameters) equal to -0.33217492 and 0.6065058. The expected value and the standard deviation gave me 0.8622153003153145 and 0.6191622375133721.
I intend to calculate the first and third quartiles and found this formula:
F 1 ( p ) = e x p ( μ + σ Φ 1 ( p ) )  with  0 < p < 1
to calculate the quartiles but I didn't quite understand how to apply it and how to calculate the p-value. How can I find out the first and third quartiles of this distribution?
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Answers (1)

britspears523jp
Answered 2022-06-27 Author has 28 answers
First quartile is the 25th quantile, i.e., p = 0.25, and the third quartile is p = 0.75, so just plug in your values of 0.33217492 and 0.6065058, for μ and σ, respectively, and find the correspoinding quantile of the standard normal distribution, i.e., Z p (for p = 0.25 and 0.75) from the normal distribution table or your preferred software.
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