https://arshadhs.github.io/tags/revision/Recent content in Revision on Arshad SiddiquiHugoen-usThu, 12 Mar 2026 00:00:00 +0000https://arshadhs.github.io/docs/ai/statistics/00_formulas/Thu, 12 Mar 2026 00:00:00 +0000https://arshadhs.github.io/docs/ai/statistics/00_formulas/<h1 id="formula-sheet"> Formula Sheet <a class="anchor" href="#formula-sheet">#</a> </h1> <p>This page is a quick reference of <strong>definitions + formulas</strong>, grouped by the modules.</p> <hr> <h2 id="notation"> Notation <a class="anchor" href="#notation">#</a> </h2> <ul> <li>Sample size: <link rel="stylesheet" href="https://arshadhs.github.io/katex/katex.min.css" /> <script defer src="https://arshadhs.github.io/katex/katex.min.js"></script> <script defer src="https://arshadhs.github.io/katex/auto-render.min.js" onload="renderMathInElement(document.body, { &#34;delimiters&#34;: [ {&#34;left&#34;: &#34;$$&#34;, &#34;right&#34;: &#34;$$&#34;, &#34;display&#34;: true}, {&#34;left&#34;: &#34;$&#34;, &#34;right&#34;: &#34;$&#34;, &#34;display&#34;: false}, {&#34;left&#34;: &#34;\\(&#34;, &#34;right&#34;: &#34;\\)&#34;, &#34;display&#34;: false}, {&#34;left&#34;: &#34;\\[&#34;, &#34;right&#34;: &#34;\\]&#34;, &#34;display&#34;: true} ] });"></script> <span> \( n \) </span> (sample), <span> \( N \) </span> (population)</li> <li>Sample mean: <span> \( \bar{x} \) </span> , population mean: <span> \( \mu \) </span> </li> <li>Sample variance: <span> \( s^2 \) </span> , population variance: <span> \( \sigma^2 \) </span> </li> <li>Sample SD: <span> \( s \) </span> , population SD: <span> \( \sigma \) </span> </li> <li>Complement: <span> \( A^c \) </span> </li> <li>Intersection (“and”): <span> \( A\cap B \) </span> , union (“or”): <span> \( A\cup B \) </span> </li> <li>Conditional probability: <span> \( P(A\mid B) \) </span> </li> </ul> <hr> <h1 id="1-basic-probability--statistics"> 1. Basic Probability &amp; Statistics <a class="anchor" href="#1-basic-probability--statistics">#</a> </h1> <h2 id="11-measures-of-central-tendency"> 1.1 Measures of Central Tendency <a class="anchor" href="#11-measures-of-central-tendency">#</a> </h2> <h3 id="arithmetic-mean"> Arithmetic mean <a class="anchor" href="#arithmetic-mean">#</a> </h3> <p>Sample mean (ungrouped):</p>https://arshadhs.github.io/docs/ai/statistics/ism-formula-sheet/Wed, 25 Feb 2026 00:00:00 +0000https://arshadhs.github.io/docs/ai/statistics/ism-formula-sheet/<h1 id="stats-formula-sheet"> Stats Formula Sheet <a class="anchor" href="#stats-formula-sheet">#</a> </h1> <p>Keep this page as a quick reference of <strong>definitions + formulas</strong>.</p> <hr> <h2 id="notation"> Notation <a class="anchor" href="#notation">#</a> </h2> <ul> <li>Sample size: <span> \( n \) </span> (sample), <span> \( N \) </span> (population)</li> <li>Mean: <span> \( \bar{x} \) </span> (sample), <span> \( \mu \) </span> (population)</li> <li>Variance: <span> \( s^2 \) </span> (sample), <span> \( \sigma^2 \) </span> (population)</li> <li>Standard deviation: <span> \( s \) </span> (sample), <span> \( \sigma \) </span> (population)</li> </ul> <hr> <h2 id="module-1-basic-statistics"> Module 1: Basic Statistics <a class="anchor" href="#module-1-basic-statistics">#</a> </h2> <h3 id="measures-of-central-tendency"> Measures of Central Tendency <a class="anchor" href="#measures-of-central-tendency">#</a> </h3> <p><strong>Sample mean (ungrouped):</strong></p>