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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.

9403
Questions
546
Companies
11
Topics
8
Languages

Showing 1–30 of 78 results

  • BarclaysEasyData Scientist
    Determine 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 Engineer
    Evaluate 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 Scientist
    Calculate 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 Scientist
    Calculate 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 Scientist
    Compute 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 Scientist
    Explain 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 Scientist
    Compute 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 Scientist
    Compute 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 Scientist
    Compute 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 Scientist
    Price 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 Trader
    Analyze 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 Trader
    Compute 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 Engineer
    Solve 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 Scientist
    Solve 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 Scientist
    Bound 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 Scientist
    Compute 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 Scientist
    Expected 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 Scientist
    Infer 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 Scientist
    Integrate 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 Scientist
    t-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 Engineer
    Calculate 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 Engineer
    Compute 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 Engineer
    Compute 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 Engineer
    Deduce 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 Engineer
    Deduce 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 Engineer
    Explain 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 Engineer
    Compute 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 Trader
    Compute 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 Engineer
    Compute 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 Scientist
    Compute 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