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JacobBumgarner · May 1, 2024 · deeb0db · deeb0db
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diff --git a/_quarto.yml b/_quarto.yml
@@ -55,8 +55,7 @@ website:
           contents: learning_posts/linear_algebra/*
         - section: learning_posts/statistics.qmd
           contents: 
-            - section: learning_posts/statistics/correlation.qmd
-              contents: learning_posts/statistics/correlation/*
+            - learning_posts/statistics/variance/variance.qmd
 
 format:
   html:

diff --git a/about.qmd b/about.qmd
@@ -1,6 +1,6 @@
 ---
 pagetitle: "About"
-image: www/headshot_2023.jpg
+image: www/headshot_2023.jpeg
 about:
   template: trestles
   image-shape: round

diff --git a/learning_posts/statistics/variance/distributions.png b/learning_posts/statistics/variance/distributions.png
diff --git a/learning_posts/statistics/variance/variance.qmd b/learning_posts/statistics/variance/variance.qmd
@@ -0,0 +1,31 @@
+---
+title: "Variance"
+format:
+    html:
+        toc: true
+---
+
+## Overview
+
+**Variance** is a quantitative measurement of the *spread* of a set of data
+around the mean of the data.
+
+![Varying Distributions](distributions.png){width=50%}
+
+In descriptive statistics, variance is used to describe the distribution of a
+sample or population. In inferential statistics, variance is a measurement used
+to measure the expected variability of a *random variable^a^*.
+
+:::{.column-margin}
+
+*^a^Random variables* are functions that map sample spaces (e.g., $\{ H, T \}$ is
+the sample space of a coin flip) to a measurable space (e.g., $\{ H: 0, T: 1
+\}$). By definition, a random variable generates values that vary *randomly*
+[@wiki:Random_variable; @psu_stat500]. 
+
+:::
+
+## References
+:::{#refs}
+
+:::
diff --git a/www/headshot_2023.jpeg b/www/headshot_2023.jpeg
diff --git a/www/headshot_2023.jpg b/www/headshot_2023.jpg