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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"I've used LC, Glassdoor, and random Discords. Nothing comes close to the accuracy here. The questions are actually current — that's what got me. Felt like I had a cheat sheet during the interview."

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"PracHub Premium for one month cost me the price of two coffees a week. It landed me a $280K+ starting offer."

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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."
Demonstrate task switching and memory strategies
Task-Switching and Working-Memory Exercise Context You will simulate a classic cognitive control task that requires rapid switching between two simple...
Use Bayes for factory identification
Bayesian inference: Which factory given two black widgets? Setup - Two factories produce red and black widgets. - Factory A: 40% red, 60% black. -...
Approximate a percentile from buckets
You are given a histogram-style summary of query popularity. Each bucket is represented as (left_bd, right_bd, count), meaning that count queries have...
Compute variance of trading profits
Symmetric Random Walk Trading Strategy: Profit Variance and Expectation Setup - Let S_t be a simple symmetric random walk with S_0 = 0 and increments ...
Compute probability with colored balls draws
Probability with Replacement-on-Green Draws Context You have a bag with colored balls. You draw balls one at a time. Any time you draw a green ball, y...
Identify Probability of Request Originating from Bad User
Measuring Abuse in Friend-Requests: Bayes, Identification, and Precision Scenario A social-network platform wants to measure and control abuse. Five p...
Identify Metrics to Detect Fake-Account Activity on Facebook
Detecting and Measuring Fake Accounts Scenario Facebook wants to understand and curb fake-account activity both over the past month and at sign-up tim...
Explain Type I vs. Type II Errors in A/B Testing
A/B Testing Errors and Estimation Under Skewed Metrics Context You are analyzing an A/B experiment for a product feature. You need to explain the stat...
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...
Understand Propensity Score Matching in Business Analytics
Propensity Score Matching (PSM) in Observational Product Data Context You work on a growth analytics team estimating causal effects (e.g., of a featur...
Answer Statistics Questions for Spokeo DS Role Quiz
Timed Statistics Quiz: Short-Answer Concepts Answer the following independent questions succinctly. Assume standard statistical definitions and that s...
Derive eigenvalues and sum for inverse matrix
Eigenvalues of an Inverse and Their Sum Context Let A be an invertible n×n matrix (over the real or complex numbers). All eigenvalues of A are nonzero...
Compute expected coin flips to meet on octagon
Meeting Time on a Random Walk Around an Octagon Problem Two independent particles start at opposite vertices (four edges apart) of a regular octagon. ...
Explain Bias-Variance Trade-off Simply for Stakeholders
Scenario You are in a technical phone screen for a Data Scientist role. The interviewer asks you to communicate a core modeling concept in plain langu...
Calculate Expected Impressions and Probability for Users
Random Allocation of Y Ad Impressions to X Users Setup (assumptions) - There are X distinct users and Y ad impressions. - Each impression is assigned ...
Compare Normal and Poisson Distributions in Statistics
Modeling Counts vs. Continuous Measurements Scenario You are modeling event counts (e.g., number of clicks) versus continuous measurements (e.g., resp...
Explain Central Limit Theorem's Importance in A/B Testing
Statistics Knowledge Check: CLT, A/B Testing, and Confidence Interval Context You are in a data science interview. Answer the following about the Cent...
Determine Posterior Probability of Bad User Prediction
Evaluating a Classifier That Flags Bad Actors Question You are evaluating a binary classifier for detecting bad actors among users. Given: - Prevalenc...
Calculate Posterior Probability of Flagged User Being Bad Actor
Bayesian inference for abuse detection with error control Setup A platform runs a binary classifier that flags users who might be bad actors. Let: - p...
Design A/B Test to Evaluate Algorithm's Revenue Impact
A/B Test Design for a New Recommendation Algorithm Context You are evaluating a new recommendation algorithm in a consumer marketplace app (e.g., brow...