Amazon Statistics & Math Interview Questions
Amazon Statistics & Math interview questions focus on applied inference, experiment design, probability, and mathematical reasoning used to drive product decisions. Unlike purely theoretical exams, Amazon's screens tend to evaluate your ability to translate statistical results into business recommendations: designing and interpreting A/B tests, selecting appropriate estimators, reasoning about bias and variance, and quantifying uncertainty for stakeholders. Expect questions rooted in realistic datasets and product trade-offs, often combined with SQL or simple coding to show you can manipulate data and validate assumptions. For interview preparation, prioritize fundamentals (hypothesis testing, confidence intervals, Bayesian intuition, regression assumptions, power/sample-size calculations) and practice explaining results in plain language with concrete action items. Time-boxed technical screens will probe mathematical derivations and quick probability puzzles, while onsite loops typically include deeper case-style problems and behavioral threads that test clarity and ownership. Prep with worked problems, mini-experiments you can explain, and mock interviews that force concise, business-focused answers.

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Plan and analyze an A/B test
A/B Test: Power, Clustering, Sequential Monitoring, Multiple Comparisons, and Diagnostics Context You are planning an A/B test for a dashboard change ...
Compute p-values, CIs, and adjust multiples
Hypothesis testing and intervals in practice. Part A (z vs t): You sample n = 15 observations from a population with unknown variance and observe samp...
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 ...
Answer core probability and inference questions
You are interviewing for a Data Scientist role. Explain/derive the following statistics fundamentals. 1. State the Central Limit Theorem (CLT). What c...
Compute and interpret quantile loss vs RMSE
Quantile (Pinball) Loss vs RMSE/MAE; Computations and Calibration You are evaluating probabilistic forecasts for a time series/ML regression task. You...
Analyze omitted-variable bias in regression
Omitted-Variable Bias, Heteroscedasticity, and Remedies Setup - True data-generating process (DGP): Y = β0 + β1·Temp + β2·Occupancy + ε - Assumption...
Calculate A/B sample size, CI, decision rules
A/B Test Design and Analysis: Signup Funnel You are designing and analyzing a two-arm A/B test for a signup funnel. Assume 1:1 traffic split and indep...
Prove and apply statistical ML fundamentals
Technical ML/Statistics Exercises (with precise math and small computations) Assume a standard supervised learning setting with n samples, p features,...
Explain Central Limit Theorem and Its Limitations
Statistics Concepts and Disease-Test Evaluation Context You are assessing core statistical concepts used in evaluating diagnostic tests and in data sc...
Calculate Probability of Both Children Being Boys
Conditional Probability: The Two-Child Problem Context and Assumptions - Each child is independently a boy or a girl with probability 1/2. - Birth ord...
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 ...
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...
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 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...
Explain P-value, Confidence Interval, and Multiple Testing Adjustments
A/B Testing and Inferential Statistics for a New Product Launch You are running online A/B experiments to evaluate a new product launch. Assume standa...
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 (...
Determine Probability of Both Children Being Boys
Probability: Two-Child Family Context You are considering families with exactly two children. A statement is revealed: "At least one of the children i...
Identify P-Value Limitations and Complementary Approaches
A/B Testing: Limits of P-values and Better Decision Practices Scenario Your team is running an A/B test for a new product feature and stakeholders rel...