GAUSS function

PRO

The GAUSS function in Jspreadsheet Formulas Pro is a tool that allows you to calculate the probability associated with a standard normal distribution. In simpler terms, it helps you find out the likelihood that a randomly picked value will fall within a certain range, based on a standard pattern where most values are around the average. This is particularly useful in statistical analysis, where understanding the behavior of random variables plays a crucial role.

Documentation

Returns the probability that a random variable follows a standard normal distribution.

Syntax

GAUSS(z)

Parameter	Description
`z`	The z-score for which you want to calculate the cumulative probability (minus 0.5) under the standard normal distribution.

Behavior

The GAUSS function is a mathematical function that calculates the Gaussian integral of a given number. It is used to compute the probability under the standard normal curve.

For empty cells, the function will treat them as zeros.
When text or non-numeric values are provided as an argument, the function would return an error.
Boolean values are also considered as errors if used as arguments.
The function takes only one argument. If more than one argument is provided, it will return an error.
If the argument provided is a valid numeric value, the function will compute the Gaussian integral and return a numeric result.

Common Errors

Error	Description
#VALUE!	The function returns this error when the argument is non-numeric, or the cell referenced contains non-numeric values.
#N/A	This error is returned when no argument is provided to the function.
#NUM!	This error is returned when the argument provided is outside the acceptable numeric range for floating-point calculations in JavaScript (extremely large positive or negative values).

Best Practices

Always make sure to provide numeric values as arguments to the GAUSS function. Providing text or non-numeric values will result in a #VALUE! error.

Be cautious when referencing cells as arguments. Ensure the cell contains a numeric value and not empty, to avoid any possible errors.

Use the GAUSS function for statistical analysis and computations. It's not recommended to use it for basic arithmetic operations.

Ensure the argument provided to the function is within the acceptable range to avoid the #NUM! error.

Usage

A few examples using the GAUSS function.

GAUSS(0) returns 0  
GAUSS(1.5) returns approximately 0.4332  
GAUSS(A1) returns the probability for the value in cell A1

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: [
    [
        "Z-Score",
        "Probability",
        "Description"
    ],
    [
        -1.5,
        "=GAUSS(A2)",
        "Below average performance"
    ],
    [
        0,
        "=GAUSS(A3)",
        "Average performance"
    ],
    [
        1.96,
        "=GAUSS(A4)",
        "95th percentile threshold"
    ],
    [
        2.5,
        "=GAUSS(A5)",
        "Exceptional performance"
    ]
]
  }]
});
</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 = [
    [
        "Z-Score",
        "Probability",
        "Description"
    ],
    [
        -1.5,
        "=GAUSS(A2)",
        "Below average performance"
    ],
    [
        0,
        "=GAUSS(A3)",
        "Average performance"
    ],
    [
        1.96,
        "=GAUSS(A4)",
        "95th percentile threshold"
    ],
    [
        2.5,
        "=GAUSS(A5)",
        "Exceptional performance"
    ]
];

    // 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 = [
    [
        "Z-Score",
        "Probability",
        "Description"
    ],
    [
        -1.5,
        "=GAUSS(A2)",
        "Below average performance"
    ],
    [
        0,
        "=GAUSS(A3)",
        "Average performance"
    ],
    [
        1.96,
        "=GAUSS(A4)",
        "95th percentile threshold"
    ],
    [
        2.5,
        "=GAUSS(A5)",
        "Exceptional performance"
    ]
]

        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('ZGFhZjZlZGQyZDYxODk5YjZjNzIxODJkNDA4NzFhMmFkNGQ0OTA1NWM1NDQ0NmJiMjI5N2QzNzkzZTRiNDA0MDYyMDkwZmUwOTk2MWViMDI2ZjZlMjhkNmFiZDIwZWVmMGVjYTg5OGFmNDA1ZWVhYjRmODM1ODZlMjA1MGU4N2UsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVMk56a3pNRGN6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

// 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: [
    [
        "Z-Score",
        "Probability",
        "Description"
    ],
    [
        -1.5,
        "=GAUSS(A2)",
        "Below average performance"
    ],
    [
        0,
        "=GAUSS(A3)",
        "Average performance"
    ],
    [
        1.96,
        "=GAUSS(A4)",
        "95th percentile threshold"
    ],
    [
        2.5,
        "=GAUSS(A5)",
        "Exceptional performance"
    ]
]
            }]
        });
    }
}

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