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
"I got asked a hardcore MCM DP question and I saw it on PracHub as well. Solved that question in 5 minutes. Without PracHub I doubt I could solve it in 5 hours. Though somehow didn't get hired, perhaps I guess I solved it too fast? /s"
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"Discovered PracHub 10 days before my interview. By day 5, I stopped being nervous. By interview day, I was actually excited to show what I knew."
"I recently cleared Uber interviews (strong hire in the design round) and all the questions were present in prachub."
"The search is what sold me. I typed in a really niche DP problem I got asked last year and it actually came up, full breakdown and everything. These guys are clearly updating it constantly."
Combine noisy thermometers; compute random-walk correlations
Problem 1: Estimating a true temperature from noisy thermometers Assume the true (fixed) temperature is an unknown constant \(\theta\). 1a) One thermo...
Prove OLS invariance to linear transforms
You fit Model 1: y ~ X1 + X2. You also fit Model 2 using Z = [X1 − X2, X1 + X2] = X T where T = [[1,1], [−1,1]] (2×2, invertible). a) Prove that OLS p...
Compute CIs, power, and multiple testing
A/B Testing Stats: Confidence Intervals, Power, Multiple Testing, and Clustering Context: You are planning an A/B experiment on a Bernoulli outcome (c...
Estimate variance for ratio metrics
KPI Variance via Delta Method and Inference Choices for ARPU Context You run experiments where each arm produces aggregate totals per analysis unit (e...
Optimize no-penalty test strategy
You face a 50-question multiple-choice test (5 options each) with total time 900 seconds. Scoring: +1 for a correct answer, 0 otherwise; there is no p...
Formulate OR model to reduce driver backtracking
Define and reduce driver ‘backtracking’ in a marketplace. First, define a quantitative backtracking metric B per driver-hour from GPS and assignment l...
Differentiate Type I vs II errors under costs
Ship/No-Ship Decision: Type I/II Errors, Cost-Sensitive Testing, Sample Size, and Multiple Testing Context You are deciding whether to ship a new disp...
Quantify improvement and compute required sample size
A/B Test on Spam Rate: Sample Size, Inference, and Practical Pitfalls Context: You are evaluating a new classifier that aims to reduce the spam rate (...
Model overdispersed counts; estimate treatment lift
Weekly posts per creator are overdispersed and zero‑inflated. In a creator‑level randomized test of a nudge: - Control: n_c=40,000 creators, total pos...
Model waiting-time abandonment via survival
Survival Modeling of Rider Abandonment During Pickup Waits Context You are modeling when a rider cancels (abandons) while waiting for pickup. Let time...
Match prior-year profit with new fixed costs
Target Profit Match with Product Mix and Added Fixed Costs m = million. You sold only Regular burgers in Year 1. In Year 2, you launch a Vegan burger ...
Identify binomial model and compute moments
Tossing N Balls Into a Cup (Independent Hits with Probability p) You toss N independent balls toward a cup. Each ball lands in the cup with probabilit...
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...
Answer regression error and coin toss expectation
Multiple choice: Regression assumptions + expectation Answer the following. 1) Linear vs. Logistic Regression “error” statements Which statement is mo...
Analyze Central Limit Theorem in User Comment Distribution
Comments per User — CLT, Expectation, SD, and 95% CI Context You are measuring how many comments each user makes in a fixed time window (e.g., one wee...
Model Feature Adoption Probability for Users
Feature Adoption Probability Modeling Context You are analyzing adoption of a new wallet feature. Each of n users independently adopts the feature wit...
Design Sampling Strategy to Estimate Fake News Proportion
Estimating Fake News Prevalence and Impact on Facebook Context Management is concerned about the volume and impact of fake news on the platform. You a...
Determine Probability of Shared Videos in Recommendations
Video Recommendation Probability and Product Trade-offs Scenario A video-recommendation system selects K distinct videos for each user from an invento...
Determine Key Statistics for Article Comment Distribution Analysis
Analyzing Comment Counts per Article Context You are analyzing the number of comments each article receives on a content website. You have the full di...
Evaluate Email Subject Line Performance Using Hypotheses
A/B Test of Email Subject Lines: CTR Hypotheses, CLT Justification, and Sample Size Context You are comparing click-through rates (CTRs) between a con...