Sketch the distribution of daily page shares per user, indicating mean, median, p1, and p99. What shape do you expect and why? For users at the 50th and 95th percentiles of today’s distribution, predict their average shares two weeks from now. For the cohort with exactly two shares on day 1, describe the expected trend of average shares over days 2–30. Repeat for the cohort with five shares; which cohort will have larger variance and what distribution do you expect? Repeat the above style of analysis for daily time-spent-per-user; comment on stability of mean and tail behavior over three weeks.

Engagement metrics are typically heavy-tailed; cohorts regress toward the overall mean while retaining right-skewed structure.

Meta Data Scientist interview question: Analyze Distribution of Daily Page Shares Per User. {"blocks":[{"key":"d9e0104e","text":"Question","type":"header-three","depth":0,"inlineStyleRanges":[],"entityRanges":[],"data":{}},{"key":"f...