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

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
Capital One logo
Capital One
Medium
Data Scientist Locked

Determine intersection dimension of two 4D subspaces

This question evaluates linear algebra skills—specifically understanding of subspace dimensions, intersections and sums, and the dimension formula for...

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

Analyze skewed comments and sampling effects

Right‑Skewed Daily Comments: Location Stats and Sampling Distributions You’re analyzing daily user comments per user, which are right‑skewed count dat...

Statistics & Math
5
0
45 people solved
Oct 13, 2025
CVS Health logo
CVS Health
Medium
Data Scientist

Test payment-accuracy lift with p-value and power

AB Test of Payment Accuracy (Two Proportions) Assume transactions in the two periods are independent and large enough for normal approximations. Defin...

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

Derive paying users over time with churn

This question evaluates the ability to model user conversion and churn with discrete-time recurrence relations, derive closed-form expressions for pay...

Statistics & Math
5
0
75 people solved
Oct 13, 2025
Uber logo
Uber
Medium
Data Scientist

Analyze Cancellation Change with Statistics

A/B change in cancellation rate (before vs after) Context: You are evaluating a small product tweak intended to reduce cancellations. Treat each trip ...

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

Compute profit and break-even for memberships

This question evaluates a candidate's competency in unit economics, algebraic modeling, and sensitivity analysis for loyalty‑program pricing and profi...

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

Compute posterior for accurate-but-rare classifier

Bayes' Theorem: Interpreting Screening Model Predictions Context You are evaluating a binary screening model that flags "bad" users in a population. T...

Statistics & Math
4
0
38 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Derive expected meetings given nonempty room

Zero-Truncated Binomial: Random Room Assignment Setup - There are N rooms labeled 1, 2, ..., N. - K meetings are scheduled; each meeting independently...

Statistics & Math
3
0
30 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Model user-level ad impression allocation

Random Assignment of Ad Impressions to Users Context - There are X distinct users and Y ad impressions (X ≥ 1, Y ≥ 0 integers). - Each impression is i...

Statistics & Math
7
0
74 people solved
Oct 13, 2025
Capital One logo
Capital One
Easy
Data Scientist Locked

Find premium share for break-even

This question evaluates a candidate's ability to construct and manipulate a linear financial model and perform break-even analysis using algebra, basi...

Statistics & Math
1
0
35 people solved
Oct 13, 2025
Uber logo
Uber
Hard
Data Scientist

Analyze results and large p-values correctly

Experiment Analysis Plan: User-Level ITT with Robust Inference, Variance Reduction, Ratios, Skew, Non-Compliance, and Decision Framework Context You r...

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

Apply instrumental variables under interference

IV estimation for a ride‑sharing feature when A/B testing is infeasible due to interference Context You need to estimate the causal effect of a new ri...

Statistics & Math
10
0
100 people solved
Oct 13, 2025
Capital One logo
Capital One
Easy
Data Scientist Locked

Calculate Year-1 profit margin

This question evaluates a candidate's ability to perform applied financial math, including profit margin calculation, classification of costs into fix...

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

Match Year-2 profit to Year-1

Target Profit Volume Across Two Years Context You sell only classic burgers. Year 1 has negligible fixed costs; Year 2 introduces new fixed costs. The...

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

Compare average unit profit under mix shift

This question evaluates competency in basic statistics and arithmetic applied to unit economics, specifically understanding weighted averages and sale...

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

Perform and justify t-tests

A/B Test: Compare Mean Watch Time Between Variants A and B Context: You ran an A/B test measuring per-user daily watch_time (in seconds). You obtained...

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

Calculate first-year profit margin

Profit Margin Calculation (Year 1) Context: A single product is sold in Year 1. m denotes million. Given: - Fixed costs: $375m - Units sold (Regular):...

Statistics & Math
5
0
40 people solved
Oct 13, 2025
Capital One logo
Capital One
Easy
Data Scientist Locked

Match prior-year profit with new fixed costs

This question evaluates cost–volume–profit analysis, unit economics, and algebraic modeling of fixed versus variable costs in a multi-product sales mi...

Statistics & Math
3
0
28 people solved
Oct 13, 2025
Hard
Data Scientist Locked

Decide launch with p=0.10 at alpha 0.05

This question evaluates a data scientist's competency in statistical inference and experiment decision-making, including frequentist hypothesis testin...

Statistics & Math
1
0
22 people solved
Oct 13, 2025

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