Data Scientist Statistics & Math Interview Questions

Practice 471 real Statistics & Math interview questions for Data Scientist roles. From companies including Meta, Capital One, Google, Amazon, Uber.

471 Questions 76 Companies07.20.2026
Showing 20 results
Role
Capital One logo
Capital One
Easy
Data Scientist

Graph WTP vs content and explain cap

Willingness-to-Pay (WTP) vs. Content Quantity Context Assume the number of available shows is a nonnegative quantity S (S ≥ 0). A customer's maximum w...

Statistics & Math
5
0
43 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Model comment count distribution and validate assumptions

You observe daily comment counts per post on a large social app are highly skewed with many zeros. a) Choose an appropriate discrete model among Poiss...

Statistics & Math
4
0
69 people solved
Oct 13, 2025
Meta logo
Meta
Hard
Data Scientist

Estimate variance for ratio metrics

KPI Variance via Delta Method and Inference Choices for ARPU Context You run experiments where each arm produces aggregate totals per analysis unit (e...

Statistics & Math
4
0
50 people solved
Oct 13, 2025
Citadel logo
Citadel
Medium
Data Scientist Locked

Relate Y-on-X and X-on-Y coefficients

This question evaluates understanding of simple linear regression theory, specifically the algebraic relationship between the slope of Y on X and the ...

Statistics & Math
9
0
56 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist Locked

Compare first-score vs all-scores estimators

This question evaluates statistical estimation and inference competencies—specifically understanding estimator definitions, weighting and sampling eff...

Statistics & Math
5
0
42 people solved
Oct 13, 2025
Medium
Data Scientist Locked

Compute counts and pacing for verbal section

This question evaluates discrete allocation and time-constrained optimization skills, focusing on integer allocation, expected-value decision making, ...

Statistics & Math
4
0
36 people solved
Oct 13, 2025
Medium
Data Scientist Locked

Diagnose and fix linear regression violations

This question evaluates mastery of linear regression diagnostics and inference, including Gauss–Markov assumptions and their role for BLUE versus hypo...

Statistics & Math
3
0
38 people solved
Oct 13, 2025
Medium
Data Scientist

Simulate via inverse transform and Gibbs

Inverse transform: (a) Derive an algorithm to simulate from the Logistic(μ, s) distribution using its CDF and inverse CDF; show how to obtain samples ...

Statistics & Math
4
0
49 people solved
Oct 13, 2025
Thumbtack logo
Thumbtack
Medium
Data Scientist

Design cross-validation; explain bias–variance

Define cross-validation rigorously and compare k-fold, stratified k-fold, leave-one-out, nested CV, and time-series rolling/blocked CV. For a dataset ...

Statistics & Math
7
0
56 people solved
Oct 13, 2025
Instacart logo
Instacart
Hard
Data Scientist Locked

Choose tests under non‑normal, unequal variance

This question evaluates understanding of statistical inference for heavy‑tailed, heteroskedastic A/B test metrics, covering CLT conditions for t‑tests...

Statistics & Math
8
0
132 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist

Compute A/B sample size under clustering

A/B Test Sample Size With Unequal Allocation, Clustering, and Attrition Context You are planning a two-arm signup A/B test (binary outcome: convert vs...

Statistics & Math
15
0
142 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist

Estimate price–ETA trade-offs causally

Causal Effect Between Price and Expected Arrival Time (ETA) in a Real-Time Ride-Hailing Marketplace Objective Estimate the causal relationship between...

Statistics & Math
7
0
110 people solved
Oct 13, 2025
TikTok logo
TikTok
Hard
Data Scientist

Control confounding in observational ad lift

Estimating the ATE of Ad Exposure on Conversions (Observational Setup) You cannot randomize ad exposure. Users differ in age, education, income, and o...

Statistics & Math
8
0
61 people solved
Oct 13, 2025
Meta logo
Meta
Hard
Data Scientist

Choose robust metrics for skewed comments

Robust central tendency and inference for zero‑inflated, heavy‑tailed counts You are evaluating an A/B test on per‑user daily comment counts. The outc...

Statistics & Math
10
2
75 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Evaluate payback and sensitivity for solar vs ethanol pilots

Renewable Pilot Evaluation — Payback and Sensitivity Context Two 1-year-operated pilot plants are being considered to add renewable capacity. Assume s...

Statistics & Math
5
0
52 people solved
Oct 13, 2025
Meta logo
Meta
Easy
Data Scientist

Compute conditional occupancy across two rooms

Probability and Bayes Update: Two Rooms Setup There are two rooms. Prior over occupancy states: - With probability 1/3: both rooms are occupied. - Wit...

Statistics & Math
6
0
65 people solved
Oct 13, 2025
Capital One logo
Capital One
Easy
Data Scientist

Compute current annual profit

Loyalty Program Profitability Calculation A loyalty program has 2,000,000 customers. Revenue per customer (per year): - Annual membership fee: $50 - C...

Statistics & Math
5
0
44 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist Locked

Compute and correct correlation significance inflation

This question evaluates statistical inference for correlations, multiple testing control (false discovery rate), power and sample-size calculations, a...

Statistics & Math
2
0
37 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Choose and compute correct t-test

A/B Test: Watch Time per Impression (seconds) You ran an experiment with two independent groups and want to assess whether the new experience increase...

Statistics & Math
1
0
33 people solved
Oct 13, 2025
Medium
Data Scientist

Interpret p=0.10 rigorously

A/B Test on Monthly Churn: Inference, Power, and Testing Choices You ran a 28-day A/B test to reduce monthly churn among subscribers, randomizing 150,...

Statistics & Math
3
0
35 people solved
Oct 13, 2025

Explore more Data Scientist Statistics & Math interview questions

Real questions from candidate reports, grouped by company, topic and role.

By company
Other categories for Data Scientist
Statistics & Math questions for other roles
Browse all