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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"Coaches and bootcamp prep courses cost around $200-300 but PracHub Premium is actually less than a Netflix subscription. And it landed me a $178K offer."

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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."
Explain BLS vs CLS; compute t-stats
Part A — Concepts: Define Brand Lift Study (BLS) vs Conversion Lift Study (CLS) in ads measurement. List key bias/variance sources for each (e.g., non...
Compute posterior and predictive coin probabilities
Bayesian coin: posterior, prediction, and stopping-time expectation Context - You have two coins and will use the same coin for all flips: - Fair co...
Choose estimators for panel rent regressions
Panel Rent–Vacancy Elasticity and Inference: Design, SEs, and Time-Series Diagnostics Context You have a monthly property-level panel from 2010-01 to ...
Compute current annual profit
Loyalty Program Profitability Calculation A loyalty program has 2,000,000 customers. Revenue per customer (per year): - Annual membership fee: $50 - C...
Compute incremental profit, breakeven, and revenue sensitivity
Question You are evaluating whether to add a vegan burger line in Year 1. Use the following assumptions (m = million): - Fixed training cost: $60m/yea...
Maintain profit margin with new product line
Year 2 volume needed to maintain Year 1 profit margin after adding Vegan line Context - m denotes million dollars. - In Year 2, you add a Vegan burger...
Estimate Treatment Effects Using PSM, DiD, and DML Methods
Causal Impact of Marketing Campaigns: PSM, DiD, Synthetic Control, and DML Scenario You have observational data from a marketing campaign where some u...
Calculate Probability and Statistics for Dice Roll Outcomes
Dice Rolls and the Binomial Model Scenario A casino analyst models dice rolls to understand outcome probabilities for marketing promotions. Question Y...
Explain Statistical Outputs to Non-Technical Stakeholders
A/B Test Dashboard Interpretation and Core Statistics Concepts Scenario You are reviewing an A/B test dashboard for an experiment (e.g., Variant B vs ...
Analyze Rider Behavior in Dynamic-Pricing Trial
Dynamic-pricing trial: rider behavior Context (assumptions made explicit) - Each day the rider has two potential ride opportunities. - For any specifi...
Compute sample size and Bayes posterior
You are implementing two small statistical utilities. Part A — Power / sample size (two-sample z-test) - Input: - x: a 1D numeric array of historica...
Compute expected arc length on a circle
On the unit circle (radius \(1\), centered at the origin), pick three points independently and uniformly at random on the circumference. These three p...
Analyze the Accident-Rate Spike
A monthly line chart shows the accident rate for Uber trips in one city. The accident rate increases sharply from June through November, then drops qu...
Solve animals-and-legs count
Barn Legs Puzzle (Linear Equations) Convert the word problem into a small system of linear equations and solve. You have a barn with three types of an...
Solve relative-truth cat puzzle
Logic Puzzle: Directed Truth/Lie Rule and Cat Counts Three people (Asta, Bronya, Clara) each own a different number of cats (positive integers). When ...
Optimize interval-scoring strategy
Five-Round Interval-Estimation Game: Optimal Intervals and Risk Allocation You play five independent rounds. In round i, an unknown numeric answer A i...
Explain P-Value Reporting and Bootstrap for Coefficient Estimation
Scenario Technical screen — statistical inference checks after regression. Questions 1) You observe a regression output where a coefficient's p-value ...
Explain Propensity Score Matching and Assess Covariate Balance
Propensity Score Matching (PSM) Context You have observational data with a binary treatment (T ∈ {0,1}), an outcome (Y), and a set of pre-treatment co...
Determine Claim Rate for Breakeven in Insurance Portfolio
Weather-Insurance Portfolio Profitability Setup You price a 12-month weather insurance policy. Customers pay premiums upfront for the year. Each polic...
Estimate Population Mean and Conversion Rate Accurately
Statistical Inference: Hypothesis Tests, Confidence Intervals, Sampling Design, and Truncated Normal Estimation Context You are evaluating a set of pr...