Analyze Video View Distribution and Sharing Probability
Overview
This question evaluates statistical analysis skills including measures of central tendency for skewed distributions, binomial probability reasoning, and causal versus correlational diagnostics for product metrics.
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Aug 4, 2025, 10:55 AM
Data Scientist
Onsite
Statistics & Math
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Video Views and Shares: Central Tendency, Probability, and Diagnostics
Context
You are analyzing behavior in a video-sharing product. You have a distribution of per-video views, a known per-view share probability, and an observed divergence in trends: watch time per video is rising while the share rate is falling.
Tasks
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Central Tendency
- Given a distribution of video views per video, explain how to compute and interpret the mode, median, and mean. Note how these differ for skewed (long‑tailed) distributions.
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Binomial Probability
- Each video has a 10% chance of being shared. Assuming independent views across videos, what is the probability that at least one of ten viewed videos is shared?
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Diverging Trends: Watch Time ↑, Share Rate ↓
- Propose plausible hypotheses (causal vs. correlational) for rising watch time per video alongside a falling share rate.
- Outline how you would test these hypotheses and decide next steps.
Solution
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