Data Scientist Statistics & Math Interview Questions

Practice 471 real Statistics & Math interview questions for Data Scientist roles. From companies including Meta, Capital One, Google, Amazon, Uber.

471 Questions 76 Companies07.20.2026
Showing 20 results
Role
Apple logo
Apple
Medium
Data Scientist

Compare Normal vs Poisson; test dispersion and approximate tails

You collect n=200 independent minute-level event counts with sample mean x̄=14.5 and sample variance s²=16.2. 1) Under a Poisson(λ) model, derive the ...

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

Compute sample size and test duration correctly

Powering Two Online Experiments: Sample Size, Duration, and Design Defenses You are designing experiments to improve a friend-accept rate metric in a ...

Statistics & Math
3
0
59 people solved
Oct 13, 2025
CVS Health logo
CVS Health
Medium
Data Scientist

Explain p-value and choose correct test

Technical Screen: P-values and Robust Two-Sample/Paired Tests Context: You are a data scientist evaluating healthcare interventions. Answer in clear, ...

Statistics & Math
4
0
63 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist Locked

Compute probability second largest is below 2/3

This question evaluates understanding of order statistics, uniform probability distributions, and probabilistic reasoning, specifically the ability to...

Statistics & Math
2
0
39 people solved
Oct 13, 2025
Voleon Group logo
Voleon Group
Medium
Data Scientist Locked

Diagnose and interpret regression assumptions

This question evaluates proficiency in regression diagnostics and model selection for count outcomes, including OLS assumption checks, log-transformat...

Statistics & Math
37
0
379 people solved
Oct 13, 2025
Meta logo
Meta
Hard
Data Scientist

Derive and validate DID for staggered rollout

Causal Effect of a Staggered Adoption Policy Across EU Regions You cannot randomize. An intervention is rolled out at different dates across EU region...

Statistics & Math
6
0
54 people solved
Oct 13, 2025
Upstart logo
Upstart
Medium
Data Scientist

Analyze HT vs HH stopping-time probabilities

Coin-Flip Stopping Game: HT vs HH You repeatedly flip a coin until either the pattern HT appears (Player A wins) or the pattern HH appears (Player B w...

Statistics & Math
9
0
158 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist

Measure rider incentive causal ROI

Rider Incentive Targeting: Causal Incrementality, ROI, and Spillovers Context: You plan a rider‑side incentive (e.g., “20% off up to $10”) targeted by...

Statistics & Math
6
0
101 people solved
Oct 13, 2025
Meta logo
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
Capital One logo
Capital One
Medium
Data Scientist

Compute optimal stopping in a die-rolling game

Optimal stopping with a fair die (3-roll horizon) You observe outcomes of fair six-sided die rolls (faces 1–6) and may stop after any roll to take the...

Statistics & Math
9
0
168 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist

Design an A/B test; choose Z vs T

A/B Test on a Signup Funnel: Sample Size, Test Choice, Sequential Design, and Causal Plan Context You are planning a two-variant A/B test on a signup ...

Statistics & Math
9
0
78 people solved
Oct 13, 2025
Amazon logo
Amazon
Hard
Data Scientist

Validate DID and IV assumptions rigorously

Causal Inference and IV: DID, TWFE, Staggered Adoption, Clustering, and 2SLS Context: You are analyzing the causal effect of a reminder on an outcome ...

Statistics & Math
8
0
100 people solved
Oct 13, 2025
PayPal logo
PayPal
Medium
Data Scientist

Optimize thresholds under fraud costs

Cost-sensitive Thresholding for Fraud (ATO) Classifier Context You are evaluating a binary classifier for account takeover (ATO) fraud on a large vali...

Statistics & Math
9
0
69 people solved
Oct 13, 2025
Microsoft logo
Microsoft
Easy
Data Scientist

Compute P(Bag B | red) via Bayes

Bayes' Rule: Posterior Probability of the Chosen Bag Setup - There are three bags containing red (r) and green (g) balls: - Bag A: 4 r, 6 g (10 tota...

Statistics & Math
8
0
61 people solved
Oct 13, 2025
Snapchat logo
Snapchat
Easy
Data Scientist

Compute expectations and test fairness for coin flips

You are analyzing repeated flips of a (possibly unfair) coin. Setup Let the probability of Heads be \(p\) (unknown in general). Assume flips are indep...

Statistics & Math
12
0
96 people solved
Sep 1, 2025
Point72 logo
Point72
Hard
Data Scientist

Derive the Optimal Bid in a Two-Bidder Second-Price Auction

Derive the Optimal Bid in a Two-Bidder Second-Price Auction Two risk-neutral bidders compete for one item in a sealed-bid second-price auction. Your p...

Statistics & Math
0
0
4 people solved
Nov 25, 2025
Optiver logo
Optiver
Medium
Data Scientist

Compute expected counters after color elimination

Compute expected counters after color elimination Problem You have a bag with 30 counters: 10 red, 10 yellow, and 10 blue. You draw counters uniformly...

Statistics & Math
4
0
72 people solved
Jul 17, 2025
Meta logo
Meta
Medium
Data Scientist Locked

Fake Accounts [AE]

Evaluates probability, classification metrics, and feature engineering for fake-account detection. Strong answers apply Bayes' rule with rate-weighted...

Statistics & Math
216
6
495 people solved
Jul 12, 2025
Meta logo
Meta
Easy
Data Scientist

Calculate Expected Day for First Selection in Sampling

Expected Day of First Selection in Daily Sampling There are 1,000 people. Each day, 10 distinct names are selected uniformly at random. Day counting s...

Statistics & Math
28
0
70 people solved
Jul 12, 2025
Google logo
Google
Medium
Data Scientist

Assess Fundamental Statistics Knowledge in Data-Science Interviews

Fundamental Statistics for a Data Science Interview You are given several standard statistics tasks commonly used in a data-science technical screen. ...

Statistics & Math
30
0
178 people solved
Jul 12, 2025

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