---
layout: post
title: '\( \bar{X} \leq \max(X) \)'
date: 2017-11-22 08:44:00 +0000
mathjax: true
---
![RTHK news screenshot]({{ site.baseurl }}/images/2017-11-22-mean-leq-max.png)

**Theorem.** The mean of two real numbers is less than or equal to the
maximum of these numbers.  
*Proof.* The proof is left as an exercise to RTHK journalists. ∎

(The article actually says "far less than", but this is not reflected in the
title.)