{"id":18523227,"url":"https://github.com/iglee/central_limit_theorem","last_synced_at":"2026-01-23T20:41:37.924Z","repository":{"id":90698108,"uuid":"120143121","full_name":"iglee/central_limit_theorem","owner":"iglee","description":null,"archived":false,"fork":false,"pushed_at":"2018-02-04T03:22:10.000Z","size":1,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-05-14T18:54:15.178Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/iglee.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2018-02-04T00:44:46.000Z","updated_at":"2018-02-04T00:44:46.000Z","dependencies_parsed_at":null,"dependency_job_id":"26b4cd50-5576-4638-a5b6-ad1523b52128","html_url":"https://github.com/iglee/central_limit_theorem","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/iglee/central_limit_theorem","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/iglee%2Fcentral_limit_theorem","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/iglee%2Fcentral_limit_theorem/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/iglee%2Fcentral_limit_theorem/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/iglee%2Fcentral_limit_theorem/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/iglee","download_url":"https://codeload.github.com/iglee/central_limit_theorem/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/iglee%2Fcentral_limit_theorem/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28699719,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-01-23T17:25:48.045Z","status":"ssl_error","status_checked_at":"2026-01-23T17:25:47.153Z","response_time":59,"last_error":"SSL_read: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"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":[],"created_at":"2024-11-06T17:34:39.831Z","updated_at":"2026-01-23T20:41:37.908Z","avatar_url":"https://github.com/iglee.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"# Central Limit Theorem\nOne line summary:\n\ncentral limit theorem means **average of your sample means will converge to the population means.**\n\n## Purpose of this repo:\n- Stats problems involving CLT\n- Practical interview questions\n- Some intuitive understanding of CLT\n\n### z-score formula:\n\n\u003ca href=\"https://www.codecogs.com/eqnedit.php?latex=z\u0026space;=\u0026space;\\frac{\\bar{X}\u0026space;-\u0026space;\\mu}{\\sigma\u0026space;/\u0026space;\\sqrt{n}}\" target=\"_blank\"\u003e\u003cimg src=\"https://latex.codecogs.com/gif.latex?z\u0026space;=\u0026space;\\frac{\\bar{X}\u0026space;-\u0026space;\\mu}{\\sigma\u0026space;/\u0026space;\\sqrt{n}}\" title=\"z = \\frac{\\bar{X} - \\mu}{\\sigma / \\sqrt{n}}\" /\u003e\u003c/a\u003e\n\n\nwhere:\n\u003cbr /\u003e\u003ca href=\"https://www.codecogs.com/eqnedit.php?latex=\\bar{X}\u0026space;=\u0026space;\\text{sample\u0026space;mean}\" target=\"_blank\"\u003e\u003cimg src=\"https://latex.codecogs.com/gif.latex?\\bar{X}\u0026space;=\u0026space;\\text{sample\u0026space;mean}\" title=\"\\bar{X} = \\text{sample mean}\" /\u003e\u003c/a\u003e\n\u003cbr /\u003e\u003ca href=\"https://www.codecogs.com/eqnedit.php?latex=\\mu\u0026space;=\u0026space;\\text{population\u0026space;mean}\" target=\"_blank\"\u003e\u003cimg src=\"https://latex.codecogs.com/gif.latex?\\mu\u0026space;=\u0026space;\\text{population\u0026space;mean}\" title=\"\\mu = \\text{population mean}\" /\u003e\u003c/a\u003e\n\u003cbr /\u003e\u003ca href=\"https://www.codecogs.com/eqnedit.php?latex=\\sigma\u0026space;=\u0026space;\\text{population\u0026space;std}\" target=\"_blank\"\u003e\u003cimg src=\"https://latex.codecogs.com/gif.latex?\\sigma\u0026space;=\u0026space;\\text{population\u0026space;std}\" title=\"\\sigma = \\text{population std}\" /\u003e\u003c/a\u003e\n\u003cbr /\u003e\u003ca href=\"https://www.codecogs.com/eqnedit.php?latex=n\u0026space;=\u0026space;\\text{population\u0026space;size}\" target=\"_blank\"\u003e\u003cimg src=\"https://latex.codecogs.com/gif.latex?n\u0026space;=\u0026space;\\text{population\u0026space;size}\" title=\"n = \\text{population size}\" /\u003e\u003c/a\u003e\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Figlee%2Fcentral_limit_theorem","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Figlee%2Fcentral_limit_theorem","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Figlee%2Fcentral_limit_theorem/lists"}