{"id":23840339,"url":"https://github.com/stdlib-js/stats-base-dists-normal","last_synced_at":"2025-09-07T17:31:23.366Z","repository":{"id":41380256,"uuid":"377244769","full_name":"stdlib-js/stats-base-dists-normal","owner":"stdlib-js","description":"Normal distribution.","archived":false,"fork":false,"pushed_at":"2025-02-03T01:57:46.000Z","size":2209,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"main","last_synced_at":"2025-09-05T00:34:37.833Z","etag":null,"topics":["continuous","dist","distribution","javascript","lib","library","node","node-js","nodejs","normal","probability","standard","statistics","stats","stdlib","univariate"],"latest_commit_sha":null,"homepage":"https://github.com/stdlib-js/stdlib","language":"JavaScript","has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/stdlib-js.png","metadata":{"files":{"readme":"README.md","changelog":"CHANGELOG.md","contributing":"CONTRIBUTING.md","funding":null,"license":"LICENSE","code_of_conduct":"CODE_OF_CONDUCT.md","threat_model":null,"audit":null,"citation":"CITATION.cff","codeowners":null,"security":"SECURITY.md","support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null},"funding":{"github":["stdlib-js"],"open_collective":"stdlib","tidelift":"npm/@stdlib/stdlib"}},"created_at":"2021-06-15T17:33:23.000Z","updated_at":"2025-02-03T01:15:01.000Z","dependencies_parsed_at":"2023-02-17T10:40:19.894Z","dependency_job_id":"f8dabc92-48e7-4b3f-a6e1-a33c0db0aca0","html_url":"https://github.com/stdlib-js/stats-base-dists-normal","commit_stats":{"total_commits":46,"total_committers":1,"mean_commits":46.0,"dds":0.0,"last_synced_commit":"195cb0fe7f3605bfd12c3d92f4f863b1aa1bd36b"},"previous_names":[],"tags_count":24,"template":false,"template_full_name":null,"purl":"pkg:github/stdlib-js/stats-base-dists-normal","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats-base-dists-normal","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats-base-dists-normal/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats-base-dists-normal/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats-base-dists-normal/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stdlib-js","download_url":"https://codeload.github.com/stdlib-js/stats-base-dists-normal/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats-base-dists-normal/sbom","scorecard":{"id":849120,"data":{"date":"2025-08-11","repo":{"name":"github.com/stdlib-js/stats-base-dists-normal","commit":"fecbf0e3aa2d2da035411470c4e09993ed4ff2a7"},"scorecard":{"version":"v5.2.1-40-gf6ed084d","commit":"f6ed084d17c9236477efd66e5b258b9d4cc7b389"},"score":4.2,"checks":[{"name":"Security-Policy","score":9,"reason":"security policy file detected","details":["Info: security policy file detected: SECURITY.md:1","Info: Found linked content: SECURITY.md:1","Warn: One or no descriptive hints of disclosure, vulnerability, and/or timelines in security policy","Info: Found text in security policy: SECURITY.md:1"],"documentation":{"short":"Determines if the project has published a security policy.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#security-policy"}},{"name":"Code-Review","score":0,"reason":"Found 0/30 approved changesets -- score normalized to 0","details":null,"documentation":{"short":"Determines if the project requires human code review before pull requests (aka merge requests) are merged.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#code-review"}},{"name":"Maintained","score":0,"reason":"0 commit(s) and 0 issue activity found in the last 90 days -- score normalized to 0","details":null,"documentation":{"short":"Determines if the project is \"actively maintained\".","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#maintained"}},{"name":"Binary-Artifacts","score":10,"reason":"no binaries found in the repo","details":null,"documentation":{"short":"Determines if the project has generated executable (binary) artifacts in the source repository.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#binary-artifacts"}},{"name":"CII-Best-Practices","score":0,"reason":"no effort to earn an OpenSSF best practices badge detected","details":null,"documentation":{"short":"Determines if the project has an OpenSSF (formerly CII) Best Practices Badge.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#cii-best-practices"}},{"name":"Dangerous-Workflow","score":10,"reason":"no dangerous workflow patterns detected","details":null,"documentation":{"short":"Determines if the project's GitHub Action workflows avoid dangerous patterns.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#dangerous-workflow"}},{"name":"Vulnerabilities","score":10,"reason":"0 existing vulnerabilities detected","details":null,"documentation":{"short":"Determines if the project has open, known unfixed vulnerabilities.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#vulnerabilities"}},{"name":"Pinned-Dependencies","score":3,"reason":"dependency not pinned by hash detected -- score normalized to 3","details":["Warn: third-party GitHubAction not pinned by hash: .github/workflows/productionize.yml:85: update your workflow using https://app.stepsecurity.io/secureworkflow/stdlib-js/stats-base-dists-normal/productionize.yml/main?enable=pin","Warn: third-party GitHubAction not pinned by hash: .github/workflows/productionize.yml:275: update your workflow using https://app.stepsecurity.io/secureworkflow/stdlib-js/stats-base-dists-normal/productionize.yml/main?enable=pin","Warn: third-party GitHubAction not pinned by hash: .github/workflows/productionize.yml:449: update your workflow using https://app.stepsecurity.io/secureworkflow/stdlib-js/stats-base-dists-normal/productionize.yml/main?enable=pin","Warn: third-party GitHubAction not pinned by hash: .github/workflows/productionize.yml:457: update your workflow using https://app.stepsecurity.io/secureworkflow/stdlib-js/stats-base-dists-normal/productionize.yml/main?enable=pin","Warn: third-party GitHubAction not pinned by hash: .github/workflows/productionize.yml:623: update your workflow using https://app.stepsecurity.io/secureworkflow/stdlib-js/stats-base-dists-normal/productionize.yml/main?enable=pin","Warn: npmCommand not pinned by hash: .github/workflows/benchmark.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/benchmark.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/benchmark.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/examples.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/examples.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/examples.yml:58","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:157","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:157","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:157","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:165","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:269","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:269","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:269","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:436","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:436","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:436","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:617","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:617","Warn: npmCommand not pinned by hash: .github/workflows/productionize.yml:617","Warn: npmCommand not pinned by hash: .github/workflows/test.yml:76","Warn: npmCommand not pinned by hash: .github/workflows/test.yml:76","Warn: npmCommand not pinned by hash: .github/workflows/test.yml:76","Warn: npmCommand not pinned by hash: .github/workflows/test.yml:83","Warn: npmCommand not pinned by hash: .github/workflows/test_bundles.yml:72","Warn: npmCommand not pinned by hash: .github/workflows/test_coverage.yml:67","Warn: npmCommand not pinned by hash: .github/workflows/test_coverage.yml:67","Warn: npmCommand not pinned by hash: .github/workflows/test_coverage.yml:67","Warn: npmCommand not pinned by hash: .github/workflows/test_coverage.yml:74","Warn: npmCommand not pinned by hash: .github/workflows/test_install.yml:75","Warn: npmCommand not pinned by hash: .github/workflows/test_install.yml:75","Warn: npmCommand not pinned by hash: .github/workflows/test_install.yml:75","Warn: npmCommand not pinned by hash: .github/workflows/test_published_package.yml:93","Info:  33 out of  33 GitHub-owned GitHubAction dependencies pinned","Info:  19 out of  24 third-party GitHubAction dependencies pinned","Info:   0 out of  32 npmCommand dependencies pinned"],"documentation":{"short":"Determines if the project has declared and pinned the dependencies of its build process.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#pinned-dependencies"}},{"name":"Packaging","score":-1,"reason":"packaging workflow not detected","details":["Warn: no GitHub/GitLab publishing workflow detected."],"documentation":{"short":"Determines if the project is published as a package that others can easily download, install, easily update, and uninstall.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#packaging"}},{"name":"Fuzzing","score":0,"reason":"project is not fuzzed","details":["Warn: no fuzzer integrations found"],"documentation":{"short":"Determines if the project uses fuzzing.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#fuzzing"}},{"name":"License","score":10,"reason":"license file detected","details":["Info: project has a license file: LICENSE:0","Info: FSF or OSI recognized license: Apache License 2.0: LICENSE:0"],"documentation":{"short":"Determines if the project has defined a license.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#license"}},{"name":"Signed-Releases","score":-1,"reason":"no releases found","details":null,"documentation":{"short":"Determines if the project cryptographically signs release artifacts.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#signed-releases"}},{"name":"Token-Permissions","score":0,"reason":"detected GitHub workflow tokens with excessive permissions","details":["Warn: no topLevel permission defined: .github/workflows/benchmark.yml:1","Warn: no topLevel permission defined: .github/workflows/cancel.yml:1","Warn: no topLevel permission defined: .github/workflows/close_pull_requests.yml:1","Warn: no topLevel permission defined: .github/workflows/examples.yml:1","Warn: no topLevel permission defined: .github/workflows/npm_downloads.yml:1","Warn: no topLevel permission defined: .github/workflows/productionize.yml:1","Warn: no topLevel permission defined: .github/workflows/publish.yml:1","Warn: no topLevel permission defined: .github/workflows/test.yml:1","Warn: no topLevel permission defined: .github/workflows/test_bundles.yml:1","Warn: no topLevel permission defined: .github/workflows/test_coverage.yml:1","Warn: no topLevel permission defined: .github/workflows/test_install.yml:1","Warn: no topLevel permission defined: .github/workflows/test_published_package.yml:1","Info: no jobLevel write permissions found"],"documentation":{"short":"Determines if the project's workflows follow the principle of least privilege.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#token-permissions"}},{"name":"SAST","score":0,"reason":"no SAST tool detected","details":["Warn: no pull requests merged into dev branch"],"documentation":{"short":"Determines if the project uses static code analysis.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#sast"}},{"name":"Branch-Protection","score":0,"reason":"branch protection not enabled on development/release branches","details":["Warn: branch protection not enabled for branch 'main'"],"documentation":{"short":"Determines if the default and release branches are protected with GitHub's branch protection settings.","url":"https://github.com/ossf/scorecard/blob/f6ed084d17c9236477efd66e5b258b9d4cc7b389/docs/checks.md#branch-protection"}}]},"last_synced_at":"2025-08-23T22:02:29.901Z","repository_id":41380256,"created_at":"2025-08-23T22:02:29.901Z","updated_at":"2025-08-23T22:02:29.901Z"},"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":273713621,"owners_count":25154614,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","status":"online","status_checked_at":"2025-09-05T02:00:09.113Z","response_time":402,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["continuous","dist","distribution","javascript","lib","library","node","node-js","nodejs","normal","probability","standard","statistics","stats","stdlib","univariate"],"created_at":"2025-01-02T17:31:27.792Z","updated_at":"2025-09-07T17:31:23.356Z","avatar_url":"https://github.com/stdlib-js.png","language":"JavaScript","readme":"\u003c!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n--\u003e\n\n\n\u003cdetails\u003e\n  \u003csummary\u003e\n    About stdlib...\n  \u003c/summary\u003e\n  \u003cp\u003eWe believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.\u003c/p\u003e\n  \u003cp\u003eThe library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.\u003c/p\u003e\n  \u003cp\u003eWhen you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.\u003c/p\u003e\n  \u003cp\u003eTo join us in bringing numerical computing to the web, get started by checking us out on \u003ca href=\"https://github.com/stdlib-js/stdlib\"\u003eGitHub\u003c/a\u003e, and please consider \u003ca href=\"https://opencollective.com/stdlib\"\u003efinancially supporting stdlib\u003c/a\u003e. We greatly appreciate your continued support!\u003c/p\u003e\n\u003c/details\u003e\n\n# Normal\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] \u003c!-- [![dependencies][dependencies-image]][dependencies-url] --\u003e\n\n\u003e Normal distribution.\n\n\u003csection class=\"installation\"\u003e\n\n## Installation\n\n```bash\nnpm install @stdlib/stats-base-dists-normal\n```\n\nAlternatively,\n\n-   To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).\n-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).\n-   For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).\n\nThe [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.\n\nTo view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.\n\n\u003c/section\u003e\n\n\u003csection class=\"usage\"\u003e\n\n## Usage\n\n```javascript\nvar normal = require( '@stdlib/stats-base-dists-normal' );\n```\n\n#### normal\n\nNormal distribution.\n\n```javascript\nvar dist = normal;\n// returns {...}\n```\n\nThe namespace contains the following distribution functions:\n\n\u003c!-- \u003ctoc pattern=\"*+(cdf|pdf|mgf|quantile)*\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`cdf( x, mu, sigma )`][@stdlib/stats/base/dists/normal/cdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution cumulative distribution function.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`logcdf( x, mu, sigma )`][@stdlib/stats/base/dists/normal/logcdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the natural logarithm of the cumulative distribution function (CDF) for a normal distribution.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`logpdf( x, mu, sigma )`][@stdlib/stats/base/dists/normal/logpdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eevaluate the natural logarithm of the probability density function (PDF) for a normal distribution.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`mgf( t, mu, sigma )`][@stdlib/stats/base/dists/normal/mgf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution moment-generating function (MGF).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`pdf( x, mu, sigma )`][@stdlib/stats/base/dists/normal/pdf]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution probability density function (PDF).\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`quantile( p, mu, sigma )`][@stdlib/stats/base/dists/normal/quantile]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution quantile function.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nThe namespace contains the following functions for calculating distribution properties:\n\n\u003c!-- \u003ctoc pattern=\"*+(entropy|kurtosis|mean|median|mode|skewness|stdev|variance)*\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`entropy( mu, sigma )`][@stdlib/stats/base/dists/normal/entropy]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution differential entropy.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kurtosis( mu, sigma )`][@stdlib/stats/base/dists/normal/kurtosis]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution excess kurtosis.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`mean( mu, sigma )`][@stdlib/stats/base/dists/normal/mean]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution expected value.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`median( mu, sigma )`][@stdlib/stats/base/dists/normal/median]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution median.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`mode( mu, sigma )`][@stdlib/stats/base/dists/normal/mode]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution mode.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`skewness( mu, sigma )`][@stdlib/stats/base/dists/normal/skewness]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution skewness.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`stdev( mu, sigma )`][@stdlib/stats/base/dists/normal/stdev]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution standard deviation.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`variance( mu, sigma )`][@stdlib/stats/base/dists/normal/variance]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution variance.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nThe namespace contains a constructor function for creating a [normal][normal-distribution] distribution object.\n\n\u003c!-- \u003ctoc pattern=\"*ctor*\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`Normal( [mu, sigma] )`][@stdlib/stats/base/dists/normal/ctor]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003enormal distribution constructor.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n```javascript\nvar Normal = require( '@stdlib/stats-base-dists-normal' ).Normal;\n\nvar dist = new Normal( 2.0, 4.0 );\n\nvar y = dist.pdf( 2.0 );\n// returns ~0.1\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- TODO: better examples --\u003e\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar normal = require( '@stdlib/stats-base-dists-normal' );\n\n/*\nA bakery is analyzing cake baking times to ensure consistency and better schedule their baking processes.\n\nThe Central Limit Theorem (CLT) states that the average baking times from many batches will follow a normal distribution if there are enough batches (typically n \u003e 30).\n\nAssuming each record represents the average baking time per batch and the bakery has collected the following data:\n\n-      Mean baking time (μ/mu): 20 minutes.\n-      Standard deviation in baking time (σ/sigma): 3 minutes.\n\nWe can model the average bake times using a normal distribution with μ (mu) = 20.0 minutes and σ = 3.0 minutes.\n*/\n\nvar mu = 20.0;\nvar sigma = 3.0;\n\nvar normalDist = new normal.Normal( mu, sigma );\n\n// Output the standard deviation of the baking times:\nconsole.log( normalDist.sigma );\n// =\u003e 3.0\n\n// Adjust distribution parameters\nnormalDist.sigma = 4.0;\n\n// Adjusted standard deviation to reflect different variance scenario:\nconsole.log( normalDist.sigma );\n// =\u003e 4.0\n\n// Excess kurtosis of a normal distribution (measure of \"tailedness\"):\nconsole.log( normalDist.kurtosis );\n// =\u003e 0.0\n\n// Median baking time:\nconsole.log( normalDist.median );\n// =\u003e 20.0\n\n// Variance of the baking times after adjusting sigma:\nconsole.log( normalDist.variance );\n// =\u003e 16.0\n\n// Probability density function at the mean baking time:\nconsole.log( normal.pdf( 20.0, mu, sigma ) );\n// =\u003e ~0.133\n\n// Cumulative distribution function at the mean (portion of times ≤ 20 minutes):\nconsole.log( normal.cdf( 20.0, mu, sigma ) );\n// =\u003e ~0.5\n\n// 50th percentile (median) of the baking times:\nconsole.log( normal.quantile( 0.5, mu, sigma ) );\n// =\u003e 20.0\n\n// Moment-generating function value at 0.5 (used in probability theory):\nconsole.log( normal.mgf( 0.5, mu, sigma ) );\n// =\u003e ~67846.291\n\n// Entropy of the normal distribution (measure of uncertainty):\nconsole.log( normal.entropy( mu, sigma ) );\n// =\u003e ~2.518\n\n// Mean baking time:\nconsole.log( normal.mean( mu, sigma ) );\n// =\u003e 20.0\n\n// Median baking time:\nconsole.log( normal.median( mu, sigma ) );\n// =\u003e 20.0\n\n// Mode of the baking times (most frequent value):\nconsole.log( normal.mode( mu, sigma ) );\n// =\u003e 20.0\n\n// Variance of the baking times:\nconsole.log( normal.variance( mu, sigma ) );\n// =\u003e 9.0\n\n// Skewness of the distribution (symmetry measure):\nconsole.log( normal.skewness( mu, sigma ) );\n// =\u003e 0.0\n\nvar myquantile = normal.quantile.factory( 20.0, 3.0 );\n\n// 20th percentile (value below which 20% baking times fall):\nconsole.log( myquantile( 0.2 ) );\n// =\u003e ~17.475\n\n// 80th percentile (value below which 80% baking times fall):\nconsole.log( myquantile( 0.8 ) );\n// =\u003e ~22.525\n\nvar mylogpdf = normal.logpdf.factory( 20.0, 3.0 );\n\n// Logarithm of the probability density function at the mean:\nconsole.log( mylogpdf( 20.0 ) );\n// =\u003e ~-2.018\n\n// Logarithm of the probability density function at 15 minutes:\nconsole.log( mylogpdf( 15.0 ) );\n// =\u003e ~-3.406\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --\u003e\n\n\u003csection class=\"related\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.related --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\n\u003csection class=\"main-repo\" \u003e\n\n* * *\n\n## Notice\n\nThis package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.\n\nFor more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright \u0026copy; 2016-2025. The Stdlib [Authors][stdlib-authors].\n\n\u003c/section\u003e\n\n\u003c!-- /.stdlib --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"links\"\u003e\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-normal.svg\n[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-normal\n\n[test-image]: https://github.com/stdlib-js/stats-base-dists-normal/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/stats-base-dists-normal/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-normal/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-normal?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/stats-base-dists-normal.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/stats-base-dists-normal/main\n\n--\u003e\n\n[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg\n[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/stats-base-dists-normal/tree/deno\n[deno-readme]: https://github.com/stdlib-js/stats-base-dists-normal/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/stats-base-dists-normal/tree/umd\n[umd-readme]: https://github.com/stdlib-js/stats-base-dists-normal/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/stats-base-dists-normal/tree/esm\n[esm-readme]: https://github.com/stdlib-js/stats-base-dists-normal/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/stats-base-dists-normal/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-normal/main/LICENSE\n\n[normal-distribution]: https://en.wikipedia.org/wiki/Normal_distribution\n\n\u003c!-- \u003ctoc-links\u003e --\u003e\n\n[@stdlib/stats/base/dists/normal/ctor]: https://github.com/stdlib-js/stats-base-dists-normal-ctor\n\n[@stdlib/stats/base/dists/normal/entropy]: https://github.com/stdlib-js/stats-base-dists-normal-entropy\n\n[@stdlib/stats/base/dists/normal/kurtosis]: https://github.com/stdlib-js/stats-base-dists-normal-kurtosis\n\n[@stdlib/stats/base/dists/normal/mean]: https://github.com/stdlib-js/stats-base-dists-normal-mean\n\n[@stdlib/stats/base/dists/normal/median]: https://github.com/stdlib-js/stats-base-dists-normal-median\n\n[@stdlib/stats/base/dists/normal/mode]: https://github.com/stdlib-js/stats-base-dists-normal-mode\n\n[@stdlib/stats/base/dists/normal/skewness]: https://github.com/stdlib-js/stats-base-dists-normal-skewness\n\n[@stdlib/stats/base/dists/normal/stdev]: https://github.com/stdlib-js/stats-base-dists-normal-stdev\n\n[@stdlib/stats/base/dists/normal/variance]: https://github.com/stdlib-js/stats-base-dists-normal-variance\n\n[@stdlib/stats/base/dists/normal/cdf]: https://github.com/stdlib-js/stats-base-dists-normal-cdf\n\n[@stdlib/stats/base/dists/normal/logcdf]: https://github.com/stdlib-js/stats-base-dists-normal-logcdf\n\n[@stdlib/stats/base/dists/normal/logpdf]: https://github.com/stdlib-js/stats-base-dists-normal-logpdf\n\n[@stdlib/stats/base/dists/normal/mgf]: https://github.com/stdlib-js/stats-base-dists-normal-mgf\n\n[@stdlib/stats/base/dists/normal/pdf]: https://github.com/stdlib-js/stats-base-dists-normal-pdf\n\n[@stdlib/stats/base/dists/normal/quantile]: https://github.com/stdlib-js/stats-base-dists-normal-quantile\n\n\u003c!-- \u003c/toc-links\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.links --\u003e\n","funding_links":["https://github.com/sponsors/stdlib-js","https://opencollective.com/stdlib","https://tidelift.com/funding/github/npm/@stdlib/stdlib"],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats-base-dists-normal","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstdlib-js%2Fstats-base-dists-normal","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats-base-dists-normal/lists"}