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Statistics & Math Interview Questions
Practice 9403 coding, system design and machine learning questions from 546 companies, sorted by role, topic and interview round. Every question has step-by-step hints, a code runner that supports 8 languages and an AI mentor; members also get the full solution walkthrough.
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- 546
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- 11
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- 8
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Showing 1–30 of 78 results
- BarclaysEasyData ScientistDetermine Worker Counts from Production Ratios
This problem tests mathematical modeling and systems of linear equations by requiring the candidate to derive specific headcount requirements based on production demand and individual productivity constraints.
Statistics & MathOnline AssessmentAlgebraSystems of EquationsOptimization - BlackRockEasySoftware EngineerEvaluate a verbal reasoning passage
This question evaluates verbal reasoning and logical inference by requiring classification of statements as True, False, or Cannot Say from a short passage; it belongs to the Cognitive Ability/Logic domain and targets conceptual understanding rather than practical application.
Statistics & MathOnline Assessment - Boston Consulting GroupEasyData ScientistCalculate Probability and Statistics for Dice Roll Outcomes
This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Calculate Probability and Statistics for Dice Roll Outcomes states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Statistics & MathOnline Assessment - Boston Consulting GroupEasyData ScientistCalculate Probability of Heads and Red Balls Drawing
This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Calculate Probability of Heads and Red Balls Drawing states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Statistics & MathOnline Assessment - Boston Consulting GroupMediumData ScientistCompute posterior and predictive coin probabilities
This question evaluates Bayesian inference and probabilistic reasoning, focusing on posterior updating, posterior predictive probability, and the conditional expectation of a stopping time given observed outcomes.
Statistics & MathOnline Assessment - C3 AIMediumData ScientistExplain Training R-Squared After Adding a Random Feature
Prove that ordinary training R-squared cannot decrease when adding a feature, while adjusted and test-set R-squared can.
Statistics & MathOnline Assessment - CVS HealthMediumData ScientistCompute A/B significance, CI, and power
This question evaluates proficiency in statistical inference for A/B testing—specifically two-proportion z-tests, construction of confidence intervals with unpooled standard errors, sample-size and power calculations, and multiple-comparison correction via Bonferroni.
Statistics & MathOnline Assessment - Capital OneMediumData ScientistCompute and interpret 95% confidence intervals
This question evaluates proficiency with confidence intervals, hypothesis testing for proportions and means, multiple-comparison adjustment (Bonferroni), and sample size calculations, including assessment of normal-approximation versus Wilson score methods.
Statistics & MathOnline Assessment - CitibankMediumData ScientistCompute expected payoff of reroll dice game
This question evaluates understanding of probability theory and expected-value computation in stopping-time processes, including conditioning and infinite-series reasoning, and also tests modeling of per-trial costs and break-even analysis.
Statistics & MathOnline Assessment - CitibankMediumData ScientistPrice options and bonds via binomial no-arbitrage
This question evaluates competence in no-arbitrage pricing, risk-neutral valuation, early-exercise features of American versus European options, and short-rate tree bond valuation within the Statistics & Math domain.
Statistics & MathOnline Assessment - DRWEasyQuantitative TraderAnalyze distribution of a 3-dice product
This question tests the ability to analyze the probability distribution of the product of three independent discrete random variables and apply these statistical properties to practical risk management.
Statistics & MathOnline AssessmentProbabilityExpectationStatistics - DRWEasyQuantitative TraderCompute expected arc length on a circle
This question evaluates understanding of geometric probability, order statistics on a circle, and expectation computation for continuous random variables.
Statistics & MathOnline Assessment - Epic SystemsMediumSoftware EngineerSolve Coin, Growth, Time, and Rate Problems
This problem tests analytical thinking and basic arithmetic under time pressure, focusing on rate of change and compound logic.
Statistics & MathOnline AssessmentMathLogicExponential Growth - Five RingsHardData ScientistSolve coin probability and Bayesian inference problems
This question evaluates probabilistic reasoning, stochastic-process intuition (pattern waiting times and runs), expected-value calculations, and Bayesian parameter estimation competency.
Statistics & MathOnline Assessment - Goldman SachsEasyData ScientistBound the Rank of BA Given Rank of AB
Determine the set of possible values for the rank of the matrix product BA given that A and B are 4x4 real matrices and rank(AB) = 2. This question tests fundamental linear algebra inequalities involving matrix ranks and nullities.
Statistics & MathOnline AssessmentLinear AlgebraMatrix TheoryRank Inequalities - Goldman SachsEasyData ScientistCompute the Arc Length of a Curve
Tests single-variable calculus fundamentals, specifically calculating the derivative, setting up the standard arc length integral, and evaluating it using substitution.
Statistics & MathOnline Assessmentcalculusintegrationgeometry - Goldman SachsEasyData ScientistExpected Number of Runs in Coin Tosses
Tests understanding of linearity of expectation and indicator random variables through counting consecutive runs in a sequence of coin tosses.
Statistics & MathOnline Assessmentprobabilityexpected-valuecombinatorics - Goldman SachsEasyData ScientistInfer BA When AB Is the Identity
This question tests the understanding of matrix invertibility, the properties of the identity matrix, and the fundamental differences between square and non-square matrix multiplication.
Statistics & MathOnline AssessmentLinear AlgebraMatricesRank - Goldman SachsEasyData ScientistIntegrate a Two-Sided Exponential Density
This question tests the ability to integrate probability density functions (PDFs) over specified intervals, specifically handling the absolute value function in symmetric distributions.
Statistics & MathOnline AssessmentCalculusProbabilityDistributions - HeadlandsMediumData Scientistt-Stat With an Added Orthogonal Regressor, Live Sharpe Check, and Absolute-Loss Estimator
Solve three core quantitative problems covering OLS regression mechanics under orthogonal regressors, statistical significance of backtested Sharpe ratios in live deployment, and loss-function minimization for L1 error.
Statistics & MathOnline AssessmentEconometricsSharpe RatioLinear Regression - MathWorksMediumSoftware EngineerCalculate tiered cost and break-even
This question evaluates the ability to model tiered piecewise cost functions, compute total and average unit costs, and perform break-even analysis using basic algebra and arithmetic.
Statistics & MathOnline Assessment - MathWorksEasySoftware EngineerCompute probability of drawing reds
This question evaluates understanding of probability theory and combinatorics, specifically reasoning about sampling without replacement and calculating event probabilities using counting methods.
Statistics & MathOnline Assessment - MathWorksEasySoftware EngineerCompute urn-draw probabilities and expectations
This question evaluates understanding of elementary probability concepts—dependent events, conditional probability, and expected value—using an urn model with draws without replacement.
Statistics & MathOnline Assessment - MathWorksHardSoftware EngineerDeduce position from logic clues
This question evaluates the ability to model and reason about constraint-satisfaction on a 2D grid, including logical inference with directional and adjacency relations, combinatorial placement constraints, and determination of uniqueness.
Statistics & MathOnline Assessment - MathWorksEasySoftware EngineerDeduce row order from logic clues
This question evaluates logical deduction, constraint satisfaction, and basic combinatorial reasoning used to infer ordering from positional clues. Commonly asked to assess a candidate's ability to apply discrete math and spatial reasoning within the Statistics & Math domain, it targets conceptual understanding of constraints rather than practical implementation.
Statistics & MathOnline Assessment - NVIDIAMediumSoftware EngineerExplain linear algebra for graphics transforms
This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Explain linear algebra for graphics transforms states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Statistics & MathOnline Assessment - OptiverMediumSoftware EngineerCompute negative-price probability after n steps
This question evaluates understanding of discrete probability distributions and random-walk processes within Statistics & Math, testing skills in binomial modeling and numeric computation for probabilistic outcomes.
Statistics & MathOnline Assessment - OptiverMediumQuantitative TraderCompute odds under time pressure
This question evaluates probabilistic reasoning and combinatorial calculation skills, including conditional probability, distributional thinking and the ability to convert probabilities into odds.
Statistics & MathOnline Assessment - OptiverEasySoftware EngineerCompute permutations with repeated letters
This question evaluates combinatorics and counting principles within the Statistics & Math domain, focusing on permutations with repeated characters and the generalization to multiple symbol counts.
Statistics & MathOnline Assessment - OptiverEasyData ScientistCompute probabilities and expectations in random processes
This question evaluates proficiency in probability theory, combinatorics, and mathematical expectation through a series of rapid-fire brain-teasers. It tests the ability to set up clean probabilistic models, apply the right technique, and derive exact closed-form answers under time pressure — skills commonly assessed in quantitative and data science interviews.
Statistics & MathOnline Assessment