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
DRW logo
DRW
Easy
Data Scientist

Compute expected arc length on a circle

On the unit circle (radius \(1\), centered at the origin), pick three points independently and uniformly at random on the circumference. These three p...

Statistics & Math
6
0
83 people solved
Nov 22, 2025
Citadel logo
Citadel
Medium
Data Scientist

Explain multicollinearity and OLS assumptions

Explain multicollinearity and OLS assumptions Linear Regression Technical Screen: OLS Assumptions and Multicollinearity Context: You are asked to summ...

Statistics & Math
6
0
71 people solved
Jul 27, 2025
Google logo
Google
Medium
Data Scientist

Explain Simpson’s Paradox and Its Causes with Example

Simpson's Paradox: Definition, Cause, and Example Demonstrate your understanding of Simpson's paradox in a statistics or analytics interview. Define t...

Statistics & Math
13
0
77 people solved
Jul 12, 2025
Google logo
Google
Medium
Data Scientist

Generate Samples from Truncated Normal Distribution

Sampling from a Truncated Normal Distribution You draw from a normal distribution but only keep observations that are at least 1. Assume the original ...

Statistics & Math
24
0
78 people solved
Jul 12, 2025
Google logo
Google
Easy
Data Scientist

Determine Normality of Single Observation with Z-Test

Hypothesis Test for One Observation Against a Standard Normal You observe a single numeric value x and want to decide whether it could plausibly have ...

Statistics & Math
30
0
124 people solved
Jul 12, 2025
Meta logo
Meta
Medium
Data Scientist

Analyze User Transfer Distribution in Initial Launch Period

Analyze User Transfer Distribution in an Initial Launch Period A new peer-to-peer payments feature has launched. You are asked to analyze the number o...

Statistics & Math
26
0
64 people solved
Jul 12, 2025
Meta logo
Meta
Medium
Data Scientist Locked

Determine Probability of Shared Videos in Recommendations

Meta statistics and product prompt on video recommendation overlap, covering combinations, probability of shared videos, expected intersection size, s...

Statistics & Math
58
0
114 people solved
Jul 12, 2025
Morningstar logo
Morningstar
Easy
Data Scientist Locked

Explain a stochastic process simply

Statistics interview prompt testing the ability to explain stochastic processes in plain language, including intuition, examples, difference from a si...

Statistics & Math
3
0
30 people solved
Jul 5, 2025
Meta logo
Meta
Easy
Data Scientist Locked

Compute Bayes probability for fake accounts

This question evaluates Bayesian reasoning and probabilistic modeling skills, including conditional probability, base-rate effects, detector character...

Statistics & Math
14
1
105 people solved
Nov 1, 2025
Meta logo
Meta
Easy
Data Scientist

Compute probabilities for chatbot response quality

Context A chatbot response is considered good if it is both: - Helpful, and - Honest. You are told: - \(P(\text{Helpful}) = 0.8\) - \(P(\text{Honest})...

Statistics & Math
4
1
89 people solved
Oct 30, 2025
Upstart logo
Upstart
Easy
Data ScientistSenior+

Combine noisy thermometers; compute random-walk correlations

Problem 1: Estimating a true temperature from noisy thermometers Assume the true (fixed) temperature is an unknown constant \(\theta\). 1a) One thermo...

Statistics & Math
16
0
121 people solved
Oct 25, 2025
DRW logo
DRW
Medium
Data Scientist

Differentiate sample vs population standard deviation

Differentiate sample vs population standard deviation Population vs. Sample Standard Deviation in a Finite Rolling Window Context You are implementing...

Statistics & Math
5
0
67 people solved
Aug 9, 2025
Capital One logo
Capital One
Easy
Data Scientist

Compute monthly break-even subscribers

Break-even Analysis for a Subscription Streaming Service Context A streaming startup incurs monthly fixed costs and per-subscriber variable costs and ...

Statistics & Math
10
0
73 people solved
Oct 13, 2025
Two Sigma logo
Two Sigma
Medium
Data Scientist Locked

Compute robust linear interpolation with edge cases

This question evaluates understanding of linear interpolation, representation as convex combinations, handling of degenerate input cases, bounding int...

Statistics & Math
6
0
72 people solved
Oct 13, 2025
Citadel logo
Citadel
Medium
Data Scientist

Derive distribution of an inverse transform

Change of Variables via the Logistic Map You are given a random variable X with density f_X supported on (0, 1). Define the strictly increasing logist...

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

Contrast OLS, DiD, and PSM assumptions

This question evaluates proficiency in causal inference and econometric methods, specifically the ability to contrast OLS, two-way fixed-effects DiD, ...

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

Compute profit and decompose Groupon impact

You run a restaurant with these economics: baseline demand is 20 tables/day, average revenue is $30/table, variable cost (VC) is 40% of revenue, and f...

Statistics & Math
3
0
41 people solved
Oct 13, 2025
Coinbase logo
Coinbase
Medium
Data Scientist Locked

Optimize no-penalty test strategy

This question evaluates proficiency in probability, expected-value calculations, stochastic decision-making, and constrained optimization applied to t...

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

Diagnose and fix a flight-delay modeling setup

Flight Delay Modeling: Binary Target, Features, and Diagnostics You are modeling the probability that a flight arrives with a delay greater than 15 mi...

Statistics & Math
12
0
102 people solved
Oct 13, 2025
Meta logo
Meta
Medium
Data Scientist

Analyze DAU comments distribution and resampling

Consider the metric comments_per_DAU (number of comments a daily active user makes in a day). a) Shape: Describe and justify the expected distribution...

Statistics & Math
7
1
71 people solved
Oct 13, 2025

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