NORMDIST function

PRO

The NORMDIST function in Jspreadsheet Formulas Pro is used to calculate the normal distribution, given a specific mean and standard deviation. In simpler terms, it helps to understand how data is spread out around the average in a set of data. It generates a probability that a random variable will fall within a certain range, based on the mean (average) and standard deviation (spread) you provide. This function is particularly useful in statistical analysis and forecasting.

Documentation

Returns the normal distribution for the specified mean and standard deviation.

Syntax

NORMDIST(x, mean, standard_dev, cumulative)

Parameter	Description
`x`	The value at which to evaluate the function.
`mean`	The arithmetic mean of the distribution.
`standard_dev`	The standard deviation of the distribution.
`cumulative`	Logical value that specifies the form of the function. If cumulative is true, NORMDIST returns the cumulative distribution function; if false, it returns the probability density function. If omitted, cumulative defaults to true.

Behavior

The NORMDIST function calculates the normal probability density for a given set of parameters. It requires four arguments: the value for which you want the distribution, the arithmetic mean of the distribution, the standard deviation, and a logical value to determine the type of distribution.

If any of the cells referenced in the function are empty, the function will return an error.
If non-numeric values (such as text) are provided as arguments, the function will return an error. Boolean values are treated as numbers (TRUE = 1, FALSE = 0).
If the standard deviation argument is less than or equal to 0, the function will return an error.
If the logical value for the cumulative argument is neither 0 (for the probability density function) nor 1 (for the cumulative distribution function), the function will return an error.

Common Errors

Error	Description
#VALUE!	This error occurs when the given arguments are non-numeric, such as text values. (Boolean values are automatically converted: TRUE = 1, FALSE = 0).
#NUM!	This error occurs when the standard deviation is less than or equal to 0, or if the logical value for cumulative function is not 0 or 1.
#DIV/0!	This error occurs when the standard deviation is 0, which would result in division by zero.
#N/A	This error occurs when any of the required arguments are missing.

Best practices

Always ensure the data used for the mean and standard deviation arguments are numeric.

Be careful to enter a logical value for the cumulative argument as either 0 or 1; 0 for the probability density function and 1 for the cumulative distribution function.

The NORMDIST function is useful for statistical analysis; ensure your data sample is large enough for a robust result.

Handle errors effectively by using error handling functions alongside NORMDIST to avoid disruption in data analysis.

Usage

A few examples using the NORMDIST function.

NORMDIST(1.96, 0, 1, FALSE) returns 0.058440944
NORMDIST(1.96, 0, 1, TRUE) returns 0.975002105

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: [
    [
        "x",
        "Mean",
        "Standard Dev",
        "Probability Density",
        "Cumulative Probability"
    ],
    [
        1.5,
        2,
        0.5,
        "=NORMDIST(A2,B2,C2,FALSE)",
        "=NORMDIST(A2,B2,C2,TRUE)"
    ],
    [
        2.0,
        2,
        0.5,
        "=NORMDIST(A3,B3,C3,FALSE)",
        "=NORMDIST(A3,B3,C3,TRUE)"
    ],
    [
        2.5,
        2,
        0.5,
        "=NORMDIST(A4,B4,C4,FALSE)",
        "=NORMDIST(A4,B4,C4,TRUE)"
    ]
]
  }]
});
</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 = [
    [
        "x",
        "Mean",
        "Standard Dev",
        "Probability Density",
        "Cumulative Probability"
    ],
    [
        1.5,
        2,
        0.5,
        "=NORMDIST(A2,B2,C2,FALSE)",
        "=NORMDIST(A2,B2,C2,TRUE)"
    ],
    [
        2.0,
        2,
        0.5,
        "=NORMDIST(A3,B3,C3,FALSE)",
        "=NORMDIST(A3,B3,C3,TRUE)"
    ],
    [
        2.5,
        2,
        0.5,
        "=NORMDIST(A4,B4,C4,FALSE)",
        "=NORMDIST(A4,B4,C4,TRUE)"
    ]
];

    // 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 = [
    [
        "x",
        "Mean",
        "Standard Dev",
        "Probability Density",
        "Cumulative Probability"
    ],
    [
        1.5,
        2,
        0.5,
        "=NORMDIST(A2,B2,C2,FALSE)",
        "=NORMDIST(A2,B2,C2,TRUE)"
    ],
    [
        2.0,
        2,
        0.5,
        "=NORMDIST(A3,B3,C3,FALSE)",
        "=NORMDIST(A3,B3,C3,TRUE)"
    ],
    [
        2.5,
        2,
        0.5,
        "=NORMDIST(A4,B4,C4,FALSE)",
        "=NORMDIST(A4,B4,C4,TRUE)"
    ]
]

        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: [
    [
        "x",
        "Mean",
        "Standard Dev",
        "Probability Density",
        "Cumulative Probability"
    ],
    [
        1.5,
        2,
        0.5,
        "=NORMDIST(A2,B2,C2,FALSE)",
        "=NORMDIST(A2,B2,C2,TRUE)"
    ],
    [
        2.0,
        2,
        0.5,
        "=NORMDIST(A3,B3,C3,FALSE)",
        "=NORMDIST(A3,B3,C3,TRUE)"
    ],
    [
        2.5,
        2,
        0.5,
        "=NORMDIST(A4,B4,C4,FALSE)",
        "=NORMDIST(A4,B4,C4,TRUE)"
    ]
]
            }]
        });
    }
}

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