Sketch distributions and compare mean/median/mode

## Distribution sketches and summary-stat comparisons Answer the following conceptual statistics questions. Assume you have a large random sample and you are sketching **shape only** (no need for exact parameters). ### Part A — Human heights 1. Sketch the distribution of **adult male heights in the US**. 2. Sketch the distribution of **adult female heights in the US**. 3. If you combine men and women into a single population, what does the height distribution look like? Explain why. ### Part B — Social network connections Consider the distribution of **number of connections/friends per user** on a professional social network (e.g., LinkedIn). 1. Sketch the distribution of “number of connections.” 2. Describe what you expect for the **mean** relative to most users (i.e., will the mean be close to a typical user’s value?). 3. For this distribution, compare **mean vs median vs mode** and explain your reasoning. (You may assume standard data issues like outliers and heavy tails can occur.)