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"
"Believe me i'm a student here jn US. Recently interviewed for MSFT. They asked me exact question from PracHub. I saw it the night before and ignored it cause why waste time on random sites. I legit wanna go back and redo this whole thing if I had chance. Not saying will work for everyone but there is certainly some merit to that website. And i'm gonna use it in future prep from now on like lc tagged"
"10 years of experience but never worked at a top company. PracHub's senior-level questions helped me break into FAANG at 35. Age is just a number."
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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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"Legit the only resource you need. TC went from 180k -> 350k. Just memorize the top 50 for your target company and you're golden."
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"Literally just signed a $600k offer. I only had 2 weeks to prep, so I focused entirely on the company-tagged lists here. If you're targeting L5+, don't overthink it."
"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."
"I honestly don't know how you guys gather so many real interview questions. It's almost scary. I walked into my Amazon loop and recognized 3 out of 4 problems from your database."
"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."
Compute and interpret 95% confidence intervals
Answer all parts. Show formulas and intermediate values. A) An A/B test measures conversion: Variant A has 410 conversions out of 5000 visitors; Varia...
Compute energy needed for 10% ROI
A proposed plant must deliver at least a 10% annual ROI on an initial investment of $400M. Annual economics (assume all numbers are annual unless note...
Compute profit and break-even for memberships
Grocery Loyalty Program Economics — Year‑1 Incremental Profit and Premium Break‑Even Context: You are evaluating the Year‑1 unit economics of a grocer...
Optimize threshold using confusion matrix and costs
Calibrated Classifier on an Imbalanced Dataset (1% positives) You have a perfectly calibrated binary classifier evaluated on 10,000 held-out examples....
Explain Bootstrap and Prove Uniformity
You are interviewing for a Data Scientist role. Answer the following statistics-theory prompts: 1. What is the bootstrap, when would you use it, and c...
Compute urn-draw probabilities and expectations
Urn Drawing Probabilities (Without Replacement) You have an urn with 12 balls: 5 red (R) and 7 blue (B). You draw two balls uniformly at random withou...
Explain linear algebra for graphics transforms
MVP Pipeline, Homogeneous Coordinates, NDC, Screen Space, and Normal Transformation Context You are working in a standard real-time graphics pipeline....
Answer four core statistics questions
Problem set (timed) Answer the following four questions. 1) Covariance of order statistics Let \(X\) and \(Y\) be independent \(\mathrm{Unif}(0,1)\). ...
Sketch distributions and compare mean/median/mode
Sketching distributions and comparing mean, median, and mode This is a conceptual statistics question with two independent scenarios. For each, you sk...
Apply Bayes' rule to compute posterior
A binary event \(A\) (e.g., “user is a payer” or “patient has a disease”) has prior probability \(P(A)\). You observe evidence \(B\) (e.g., a model pr...
Assess Fundamental Statistics Knowledge in Data-Science Interviews
Fundamental Statistics (Technical Phone Screen) Context You are given standard statistics tasks commonly used in a data-science interview. Assume all ...
Deduce row order from logic clues
Logic Ordering Puzzle: Four Coworkers in a Row Context Four coworkers—A, B, C, and D—are standing in a single row, left to right, facing north. Positi...
Relate coefficients under linear feature transformation
Suppose you are fitting a linear regression model and you consider two different feature parameterizations. Original features: x1, x2. Transformed fea...
Compute gala vs online break-even donors
A nonprofit must choose one of two fundraising options. Option A (Gala): capacity 100 attendees; fixed cost $20,000; variable cost $100 per attendee. ...
Design rigorous A/B test and causal analysis
Experiment Design and Causal Inference: Multi-part Problem Context: You are designing a high-traffic web A/B test on a binary conversion metric. Answe...
Measure rider incentive causal ROI
Rider Incentive Targeting: Causal Incrementality, ROI, and Spillovers Context: You plan a rider‑side incentive (e.g., “20% off up to $10”) targeted by...
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 ...
Calculate Year-1 profit margin
Year-1 Profit Margin Calculation Context You are assessing Year-1 profitability for a new vegan product line. Use the assumptions below (m = million) ...
Estimate constant under absolute loss
Suppose you have observed target values \(y_1, y_2, \dots, y_n\), and you want to fit the simplest possible model that predicts the same constant valu...
Compute extinction probability in a branching process
You start with 1 cell at time 0. Every minute, each existing cell independently transitions with equal probability (1/4) into one of four outcomes: - ...