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Analyze Video View Distribution and Sharing Probability

Last updated: Mar 29, 2026

Quick 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.

  • medium
  • Meta
  • Statistics & Math
  • Data Scientist

Analyze Video View Distribution and Sharing Probability

Company: Meta

Role: Data Scientist

Category: Statistics & Math

Difficulty: medium

Interview Round: Onsite

##### Scenario Video-sharing product needs statistical insights on view and share behavior. ##### Question Given a distribution of video views, how do you compute and interpret the mode, median, and mean? Each video has a 10% chance of being shared. What is the probability that at least one of ten independently viewed videos is shared? Watch time per video rises while share rate falls—propose hypotheses and outline how you would test them. ##### Hints Use binomial probability, explore causal vs correlational explanations, design follow-up tests.

Quick Answer: 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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Meta
Aug 4, 2025, 10:55 AM
Data Scientist
Onsite
Statistics & Math
1
0

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

  1. 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.
  2. 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?
  3. 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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