Meta Data Scientist Statistics & Math Interview Questions

Practice 87 real Statistics & Math interview questions for Data Scientist roles at Meta.

87 Questions 1 Company01.17.2026
Showing 20 results
Role
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Meta
Medium
Data Scientist

Analyze DAU comments distribution and resampling

Consider the metric comments_per_DAU (number of comments a daily active user makes in a day). a) Shape: Describe and justify the expected distribution...

Statistics & Math
7
1
72 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Quantify launch decision with tests and guardrails

You will formalize the statistical decision rules for the Instagram button experiment described above. Given: baseline exploration rate (p0) = 0.15 pe...

Statistics & Math
3
1
48 people solved
Oct 13, 2025
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Meta
Medium
Data Scientist

Analyze skewed comments and sampling effects

Right‑Skewed Daily Comments: Location Stats and Sampling Distributions You’re analyzing daily user comments per user, which are right‑skewed count dat...

Statistics & Math
5
0
46 people solved
Oct 13, 2025
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Meta
Medium
Data Scientist

Model session times and comments with exponential/Poisson

Session Duration Memoryless Assumption and Poisson Comment Counts Setup - We model user session end times with a constant hazard (memoryless) over tim...

Statistics & Math
2
0
29 people solved
Oct 13, 2025
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Meta
Medium
Data Scientist

Compute posterior for accurate-but-rare classifier

Bayes' Theorem: Interpreting Screening Model Predictions Context You are evaluating a binary screening model that flags "bad" users in a population. T...

Statistics & Math
4
0
38 people solved
Oct 13, 2025
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Meta
Medium
Data Scientist

Choose group-call participant cap via distribution

Group Call Cap Decision: QoS vs Reach You are deciding whether to cap the maximum number of participants in a group call. You have the past 28-day dis...

Statistics & Math
6
0
45 people solved
Oct 13, 2025
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Meta
Hard
Data Scientist

Estimate CTR lift with binomial tests and errors

A/B Test Inference, Peeking, and Multiple Comparisons You run a two-arm A/B test of click-through rate (CTR). - Control: n_c = 10,000,000 impressions,...

Statistics & Math
5
0
81 people solved
Oct 13, 2025
Meta logo
Meta
Hard
Data Scientist

Model comment counts and detect anomalies

Modeling Heavy-Tailed Comment Counts and Robust Monitoring You are analyzing daily comment counts at the post–day level. The distribution is heavy-tai...

Statistics & Math
5
0
43 people solved
Oct 13, 2025
Meta logo
Meta
Hard
Data Scientist

Choose Randomization Unit and Mitigate Network Effects

Choose Randomization Unit and Mitigate Network Effects A/B Test Design for a New Messenger Feature with Network Effects Context You are designing an A...

Statistics & Math
4
0
37 people solved
Aug 4, 2025
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Meta
Medium
Data Scientist

Identify Probability of Request Originating from Bad User

Identify Probability of Request Originating from Bad User Measuring Abuse in Friend-Requests: Bayes, Identification, and Precision Scenario A social-n...

Statistics & Math
5
0
36 people solved
Aug 4, 2025
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Meta
Medium
Data Scientist

Determine Probability of Video Selection and Impact Evaluation

Determine Probability of Video Selection and Impact Evaluation Video Recommendation Push: Selection Probabilities, Complements, and Design Choices Sce...

Statistics & Math
3
0
33 people solved
Aug 4, 2025
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Meta
Medium
Data Scientist

Analyze View Distribution and Recommendation Overlap in Videos

Analyze View Distribution and Recommendation Overlap in Videos Short-Video Platform: View Distribution and Recommendation Overlap Context You are anal...

Statistics & Math
7
0
54 people solved
Aug 4, 2025
Meta logo
Meta
Medium
Data Scientist

Describe Facebook User Comment Distribution Shape and Justification

Describe Facebook User Comment Distribution Shape and Justification Characterizing Comments per User on Facebook Context You are analyzing the number ...

Statistics & Math
26
0
44 people solved
Aug 4, 2025
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Meta
Medium
Data Scientist

Annotating and forecasting a long‑tail distribution

Annotating and Forecasting a Long-tail Distribution You are analyzing daily share counts across many pages on a social platform. The cross-sectional d...

Statistics & Math
23
0
50 people solved
Jul 12, 2025
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Meta
Medium
Data Scientist

Determine Superiority of Model A Using Hypothesis Testing

Hypothesis Test: Is Model A Better Than Model B? A search feature marks a session as successful only when both relevancy and accuracy binary flags equ...

Statistics & Math
26
0
104 people solved
Jul 12, 2025
Meta logo
Meta
Medium
Data Scientist

Analyze Distribution of Daily Page Shares Per User

Engagement Distributions and Cohort Dynamics You are analyzing per-user, per-day engagement. Assume the panel includes all users, inactive days count ...

Statistics & Math
87
2
128 people solved
Jul 12, 2025
Meta logo
Meta
Medium
Data Scientist

Calculate Probabilities for Mixed Reviewer Types

Probabilities for Mixed Reviewer Types Two types of reviewers exist in a marketplace: - Lazy reviewers are 20% of reviewers and always give good revie...

Statistics & Math
84
0
220 people solved
Jul 12, 2025
Meta logo
Meta
Medium
Data Scientist Locked

Estimate first selection round with/without replacement

This question evaluates understanding of probability and expectation concepts, specifically sampling with and without replacement, per-round success p...

Statistics & Math
2
0
43 people solved
Oct 13, 2025
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Meta
Medium
Data Scientist

Derive expected meetings given nonempty room

Zero-Truncated Binomial: Random Room Assignment Setup - There are N rooms labeled 1, 2, ..., N. - K meetings are scheduled; each meeting independently...

Statistics & Math
3
0
30 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Model user-level ad impression allocation

Random Assignment of Ad Impressions to Users Context - There are X distinct users and Y ad impressions (X ≥ 1, Y ≥ 0 integers). - Each impression is i...

Statistics & Math
7
0
74 people solved
Oct 13, 2025

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