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NORMINV function

PRO

In Jspreadsheet Formulas Pro, the NORMINV function is used to find the inverse of the normal cumulative distribution given a certain mean and standard deviation. This function is especially useful in statistics, as it can help you determine the value below which a certain percentage of data falls. You just need to provide the probability, mean, and standard deviation, and the function will return the corresponding value from the normal distribution.

Documentation

Returns the inverse of the normal cumulative distribution for a specified mean and standard deviation.

Category

Statistical

Syntax

NORMINV(probability, mean, standard_dev)

Parameter Description
probability The probability associated with the normal distribution.
mean The arithmetic mean of the distribution.
standard_dev The standard deviation of the distribution.

Behavior

The NORMINV function returns the inverse of the normal cumulative distribution for a specified mean and standard deviation. This function calculates the inverse of the cumulative log-normal probability density function for a given probability, mean, and standard deviation.

  • When the cell references or values for probability, mean, and standard deviation are positive numerical values, the function will return the corresponding inverse of the normal distribution.
  • If the probability argument is not between 0 and 1, the function returns a #NUM! error.
  • If the standard deviation argument is less than or equal to 0, the function returns a #NUM! error.
  • The function will also return a #NUM! error if given a non-numeric value.
  • Empty cells or invalid references result in an error.
  • Text representations of numbers provided directly as arguments are processed correctly.
  • Boolean values are converted to numbers (TRUE = 1, FALSE = 0) before calculation.

Common Errors

Error Description
#NUM! Occurs when the given probability is not between 0 and 1, or when the standard deviation is less than or equal to 0, or when given a non-numeric value.
#VALUE! Occurs when non-numeric text values are given as input to the function. (Boolean values are automatically converted: TRUE = 1, FALSE = 0).

Best practices

  • Always ensure that the probability value is between 0 and 1 when using the NORMINV function to avoid a #NUM! error.
  • Standard deviation values should always be greater than 0. Inputting a value of 0 or less will result in a #NUM! error.
  • Avoid using boolean or logical values as input for the NORMINV function to prevent a #VALUE! error.
  • It's recommended to use cell references rather than direct numerical inputs as it allows for greater flexibility and automatic updating when the referenced cell values change.

Usage

A few examples using the NORMINV function.

NORMINV(0.75, 80, 6)   // returns approximately 84.04  
NORMINV(0.5, 100, 15)  // returns exactly the mean: 100  
NORMINV(0.95, 50, 10)  // returns approximately 66.45

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('NWEzN2E2NmUzMTRmZDYyMmY5Y2I1NmYzNWQ2ZjI1ZTk2NWU2ZTVhNmFkOTA5MGQ2NjgzYTViZmQ0OWI3OTI2YWRmOWUwZDgxYjE1ODMxZjBhOTQ1ZjcwMzc2NGZhNGUxZDBlMmUxZDE0YWFjNjFjNGRhZDkzMjIyNjUzOTUxZWUsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVMk56a3pNRGMwTENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Probability",
        "Mean",
        "Std Dev",
        "Critical Value"
    ],
    [
        0.95,
        100,
        15,
        "=NORMINV(A2,B2,C2)"
    ],
    [
        0.9,
        85,
        12,
        "=NORMINV(A3,B3,C3)"
    ],
    [
        0.75,
        75,
        8,
        "=NORMINV(A4,B4,C4)"
    ],
    [
        0.5,
        90,
        10,
        "=NORMINV(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",
        "Critical Value"
    ],
    [
        0.95,
        100,
        15,
        "=NORMINV(A2,B2,C2)"
    ],
    [
        0.9,
        85,
        12,
        "=NORMINV(A3,B3,C3)"
    ],
    [
        0.75,
        75,
        8,
        "=NORMINV(A4,B4,C4)"
    ],
    [
        0.5,
        90,
        10,
        "=NORMINV(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",
        "Critical Value"
    ],
    [
        0.95,
        100,
        15,
        "=NORMINV(A2,B2,C2)"
    ],
    [
        0.9,
        85,
        12,
        "=NORMINV(A3,B3,C3)"
    ],
    [
        0.75,
        75,
        8,
        "=NORMINV(A4,B4,C4)"
    ],
    [
        0.5,
        90,
        10,
        "=NORMINV(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",
        "Critical Value"
    ],
    [
        0.95,
        100,
        15,
        "=NORMINV(A2,B2,C2)"
    ],
    [
        0.9,
        85,
        12,
        "=NORMINV(A3,B3,C3)"
    ],
    [
        0.75,
        75,
        8,
        "=NORMINV(A4,B4,C4)"
    ],
    [
        0.5,
        90,
        10,
        "=NORMINV(A5,B5,C5)"
    ]
]
            }]
        });
    }
}

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