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
Meta logo
Meta
Medium
Data Scientist Locked

Estimate Portal’s causal lift on video-call usage

This question evaluates applied causal inference and statistical analysis skills, including defining estimands, designing staggered-adoption differenc...

Statistics & Math
6
0
47 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Compute sample size and test duration

You will run a two-arm A/B test on a signup funnel. Given: baseline conversion p0 = 4.0%; you care about detecting a 10% relative uplift (p1 = 4.4%); ...

Statistics & Math
10
3
66 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Set membership fee under investment constraints

Streaming membership pricing vs. content investment Context You are designing a monthly membership for a streaming service. Producing original shows i...

Statistics & Math
4
0
67 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Compute expansion profits and expected value

Theme Park Expansion Profit Analysis Context You are evaluating the financial impact of capacity expansion for a theme park. Current operations and pr...

Statistics & Math
4
0
60 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Compute unit economics and insurance break-even

Subscription unit economics and insurance math. Assume no discounting and ignore taxes unless stated. Part A (15-month term): A subscription service c...

Statistics & Math
6
0
67 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist Locked

Compute break-even and simulate diaper inventory

This question evaluates quantitative modeling skills including break-even and contribution-margin analysis, inventory simulation, and operational leve...

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

Control error under multiple testing

This question evaluates a candidate's understanding of multiple hypothesis testing, sequential monitoring, and error-rate control—specifically familyw...

Statistics & Math
2
0
34 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Diagnose a non-significant experiment outcome

A/B Test Interpretation, Power, and Decision-Making Under Asymmetric Loss Context You ran a two-sample A/B test on a primary mean metric (two-sided t-...

Statistics & Math
7
0
41 people solved
Oct 13, 2025
Gemini logo
Gemini
Medium
Data Scientist

Compute power and cost-aware thresholds

You are evaluating a new ACH velocity+shared-device block rule. Assumptions - Volume: 1,000,000 ACH credits/month. - Baseline fraud prevalence: 0.15% ...

Statistics & Math
5
0
66 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Evaluate ROI and payback for renewables

You’re advising NorthGrid Energy on a utility-scale renewables investment with the following Year-1 economics unless noted: upfront capex = $50,000,00...

Statistics & Math
6
0
58 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Characterize metric distribution and quantiles

KPI Analysis: Per-Video Watch Time (seconds) You are evaluating a pilot dataset for the KPI "per‑video watch time" (in seconds). The dataset (n = 20) ...

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

Apply Bayes theorem with conjugate priors

A website’s true daily purchase conversion p is unknown. Prior: p ~ Beta(2, 8). Day 1: 10 purchases out of 120 visits; Day 2: 18 purchases out of 150 ...

Statistics & Math
2
0
33 people solved
Oct 13, 2025
Snowflake logo
Snowflake
Medium
Data Scientist

Contrast FCF vs NI; choose one statement

An asset-heavy company reports rising net income while free cash flow (FCF) is negative for three straight quarters. a) Explain when and why FCF can b...

Statistics & Math
3
0
42 people solved
Oct 13, 2025
Amazon logo
Amazon
Medium
Data ScientistSenior+

Analyze omitted-variable bias in regression

Omitted-Variable Bias, Heteroscedasticity, and Remedies Setup - True data-generating process (DGP): Y = β0 + β1·Temp + β2·Occupancy + ε - Assumption...

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

Calculate break-even new customers for a 30% Rent-a-Home discount

Question Capital One (C1) is evaluating a promotional offer on its Rent-a-Home (RH) product and wants you to size the unit economics. Base assumptions...

Statistics & Math
9
0
63 people solved
Oct 13, 2025
Uber logo
Uber
Medium
Data Scientist

Formulate OR model to reduce driver backtracking

Define and reduce driver ‘backtracking’ in a marketplace. First, define a quantitative backtracking metric B per driver-hour from GPS and assignment l...

Statistics & Math
6
0
93 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist Locked

Differentiate Type I vs II errors under costs

This question evaluates understanding of hypothesis testing (Type I/II errors), cost-sensitive decision theory, sample size calculation for proportion...

Statistics & Math
12
0
91 people solved
Oct 13, 2025
Capital One logo
Capital One
Medium
Data Scientist

Compute profit and surge break‑even price

Capacity and Break-even Pricing for a Ride-share Service Context: You manage daily capacity and pricing for a ride‑share service. Each driver works an...

Statistics & Math
7
0
69 people solved
Oct 13, 2025
Meta logo
Meta
Easy
Data Scientist

Quantify base-rate dilution in CTR

Weighted-Average CTR and Volume Requirements You are assessing the impact of introducing a new high-CTR event notification into an existing stream of ...

Statistics & Math
3
0
32 people solved
Oct 13, 2025
Capital One logo
Capital One
Easy
Data Scientist

Find minimal a for PSD of 3x3 matrix

PSD threshold for a 3×3 matrix with constant off-diagonal entries You are given the symmetric matrix with ones on the diagonal and a constant real val...

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

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