Statistics & Math Interview Questions
Practice 482 real Statistics & Math interview questions for 2026 — Statistics & Math interview questions gathered from actual interviews, with detailed solutions to guide your interview preparation. Covers companies like Meta, Capital One, Google, Amazon, and Optiver and roles such as Data Scientist, Quant/Trader, ML researcher, and Data Analyst. This collection is distinctive because problems range from applied inference
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"I recently cleared Uber interviews (strong hire in the design round) and all the questions were present in prachub."
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Compute expected payoff of reroll dice game
Repeated Die Rolls with Stopping Rule and Costs You repeatedly roll a fair six-sided die. After each roll you immediately receive a payout equal to th...
Analyze Cancellation Change with Statistics
A/B change in cancellation rate (before vs after) Context: You are evaluating a small product tweak intended to reduce cancellations. Treat each trip ...
Derive uniform RNGs from limited or biased sources
Sampling Construction and Analysis: From rand5() to rand7(), General randM()→randN(), and Fairness from a Biased Source You have access to a uniform p...
Interpret and validate regression with interactions
Modeling 7-day Retention with LPM and Logistic Regression Context You have user-level data with a binary outcome retained_7d (1 if the user is active ...
Choose the right test for proportions
A/B Test on Delivery Completion Rate (Binary Outcome) Context: You are evaluating an A/B test on a binary metric (delivered_bool). Treat each order as...
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...
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...
Test regional response-rate differences rigorously
Goal Assess whether provider response rates differ by region after adjusting for job category mix and time. Data You have job-level observations with ...
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 ...
Formulate hypotheses and compute AB test significance
A/B Test Snapshot: Pickup ETA Card Experiment You are analyzing a 7-day A/B test with equal allocation. Each request is an exposure; the primary outco...
Estimate and validate weights for engagement actions
Goal Design a principled weighting scheme for impression-level actions to construct a socialness score S = w_like · Likes + w_comment · Comments + w_s...
Compute GSP vs VCG payments with reserves
Sponsored Search Auction with Quality Scores and Reserve You are analyzing a single-query auction with 2 ad slots. Position CTR multipliers are [0.10,...
Maintain target margin with fixed costs
Target Profit Margin With a Mixed-Product Portfolio Context You sell two burger products (classic and vegan) at the same price but with different unit...
Compare average unit profit under mix shift
Profit Comparison Across Menu Scenarios Context A quick-service restaurant is evaluating average profit per burger under two menu strategies. Assumpti...
Interpret p=0.10 rigorously
A/B Test on Monthly Churn: Inference, Power, and Testing Choices You ran a 28-day A/B test to reduce monthly churn among subscribers, randomizing 150,...
Perform and justify t-tests
A/B Test: Compare Mean Watch Time Between Variants A and B Context: You ran an A/B test measuring per-user daily watch_time (in seconds). You obtained...
Derive L1 vs L2 effects with correlation
Multicollinearity: Ridge vs LASSO vs Elastic Net Setup - Two standardized predictors x1 and x2 with corr(x1, x2) = 0.99. - X'X = [[100, 99], [99, 100]...
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...
Use DiD for staggered treatment adoption
Staggered DiD for a Weekly RPU Rollout (50 Regions, 2025-06-01 to 2025-08-15) Context and assumptions: - You have panel data at the region-week level ...
Demonstrate task switching and memory strategies
Task-Switching and Working-Memory Exercise Context You will simulate a classic cognitive control task that requires rapid switching between two simple...