LOGNORM.INV function

PRO

The LOGNORM.INV function in Jspreadsheet Formulas Pro is a statistical tool that calculates and returns the inverse of the cumulative log-normal distribution, based on given parameters of probability, mean, and standard deviation. Simply put, it helps you find out a value X, for which the log-normal distribution is less than or equal to a certain probability. This function is particularly useful in scenarios where you have a skewed distribution of data, rather than a normal or evenly distributed set.

Documentation

Returns the inverse of the cumulative log-normal distribution for a specified probability, mean, and standard deviation.

Syntax

LOGNORM.INV(probability, mean, standard_dev)

Parameter	Description
`probability`	The probability for which you want to find the corresponding inverse of the cumulative log-normal distribution.
`mean`	The mean of ln(x), where x is normally distributed. Can be any real number.
`standard_dev`	The standard deviation of ln(x), where x is normally distributed. Must be positive.

Behavior

The LOGNORM.INV function returns the inverse of the lognormal cumulative distribution function (CDF) for a specified mean and standard deviation. If the CDF is PROB, LOGNORM.INV(PROB, mean, standard_dev) is the value x such that LOGNORM.DIST(x, mean, standard_dev, TRUE) = PROB.

When the cell references for mean or standard deviation are empty, the function will return a #NUM! error.
It will return a #NUM! error if the probability is less than or equal to 0 or greater than or equal to 1, or if standard deviation is less than or equal to 0.
If the input cells contain text or booleans, the function will return a #VALUE! error.
If the input cells contain error values, LOGNORM.INV will propagate that error.

Common Errors

Error	Description
`#NUM!`	Occurs if the provided probability is less than or equal to 0 or greater than or equal to 1, or if standard deviation is less than or equal to 0. Also occurs if either mean or standard deviation cell references are empty.
`#VALUE!`	Occurs if the given arguments are not recognized as numeric values, such as text or boolean inputs.

Best practices

Always ensure that your probability is a number strictly between 0 and 1, as any value outside this range will result in a #NUM! error.

Make sure that your standard deviation is a positive number. A zero or negative standard deviation will also result in a #NUM! error.

Be careful with your input data types. Inputs that are text or boolean will cause a #VALUE! error.

It's always a good idea to check for errors in your referenced cells before using LOGNORM.INV, as any error in a referenced cell will propagate through to your function.

Usage

A few examples using the LOGNORM.INV function.

LOGNORM.INV(0.5, 0, 1)  
// Returns 1, the median for a lognormal distribution with mean=0 and std_dev=1.

LOGNORM.INV(0.9, 0, 0.25)  
// Returns approximately 1.377662044, representing the 90th percentile for a lognormal distribution with mean=0 and std_dev=0.25.

LOGNORM.INV(0.05, 0.5, 0.1)  
// Returns approximately 1.398660003, representing the 5th percentile for a distribution with mean=0.5 and std_dev=0.1.

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Probability",
        "Mean",
        "Std Dev",
        "Log-Normal Inverse"
    ],
    [
        0.25,
        0,
        1,
        "=LOGNORM.INV(A2,B2,C2)"
    ],
    [
        0.5,
        0.5,
        0.8,
        "=LOGNORM.INV(A3,B3,C3)"
    ],
    [
        0.75,
        1,
        1.2,
        "=LOGNORM.INV(A4,B4,C4)"
    ],
    [
        0.9,
        0.2,
        0.6,
        "=LOGNORM.INV(A5,B5,C5)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Probability",
        "Mean",
        "Std Dev",
        "Log-Normal Inverse"
    ],
    [
        0.25,
        0,
        1,
        "=LOGNORM.INV(A2,B2,C2)"
    ],
    [
        0.5,
        0.5,
        0.8,
        "=LOGNORM.INV(A3,B3,C3)"
    ],
    [
        0.75,
        1,
        1.2,
        "=LOGNORM.INV(A4,B4,C4)"
    ],
    [
        0.9,
        0.2,
        0.6,
        "=LOGNORM.INV(A5,B5,C5)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Probability",
        "Mean",
        "Std Dev",
        "Log-Normal Inverse"
    ],
    [
        0.25,
        0,
        1,
        "=LOGNORM.INV(A2,B2,C2)"
    ],
    [
        0.5,
        0.5,
        0.8,
        "=LOGNORM.INV(A3,B3,C3)"
    ],
    [
        0.75,
        1,
        1.2,
        "=LOGNORM.INV(A4,B4,C4)"
    ],
    [
        0.9,
        0.2,
        0.6,
        "=LOGNORM.INV(A5,B5,C5)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Probability",
        "Mean",
        "Std Dev",
        "Log-Normal Inverse"
    ],
    [
        0.25,
        0,
        1,
        "=LOGNORM.INV(A2,B2,C2)"
    ],
    [
        0.5,
        0.5,
        0.8,
        "=LOGNORM.INV(A3,B3,C3)"
    ],
    [
        0.75,
        1,
        1.2,
        "=LOGNORM.INV(A4,B4,C4)"
    ],
    [
        0.9,
        0.2,
        0.6,
        "=LOGNORM.INV(A5,B5,C5)"
    ]
]
            }]
        });
    }
}

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