Analyze Video View Distribution: Mode, Median, Mean Comparison
Company: Meta
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Onsite
##### Scenario
You are analyzing user engagement on a short-video sharing product. The team needs statistical insights into how views and shares behave across users and videos.
##### Question
1. Given a distribution of video views, how would you compute, interpret, and compare its **mode**, **median**, and **mean**? What relationship do you expect between them for this kind of data, and which should you report?
2. Each video a user watches has a **10% chance** of being shared. What is the probability that **at least one** of ten independently watched videos is shared?
3. You observe that **average watch length per video is increasing while the average share count (share rate) per video is decreasing**. Propose possible hypotheses for this divergence and outline how you would test them, distinguishing causal from correlational explanations.
##### Hints
Apply descriptive statistics for skewed distributions, binomial probability, and a structured causal/experimental-design framework for diagnosing a metric divergence.
Quick Answer: This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Analyze Video View Distribution: Mode, Median, Mean Comparison states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.