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
PayPal logo
PayPal
Easy
Data Scientist

Decide if a dice-betting game is favorable

You are considering a game against a “house” using fair six-sided dice. Rules: - You roll one die; the house rolls one die. - If your roll is strictly...

Statistics & Math
7
0
50 people solved
Dec 7, 2025
StackAdapt logo
StackAdapt
Hard
Data Scientist

Compute extinction probability in a branching process

Compute extinction probability in a branching process You start with 1 cell at time 0. Every minute, each existing cell independently transitions with...

Statistics & Math
7
0
117 people solved
Jul 23, 2025
Optiver logo
Optiver
Hard
Data Scientist

Solve probability and expectation problems

Probability and Expectation Practice (Take‑home) Assume all coins and dice are fair unless stated otherwise. Show reasoning and final results. 1) Thre...

Statistics & Math
23
0
186 people solved
Sep 6, 2025
Optiver logo
Optiver
Hard
Data Scientist

Find next terms in sequences

Pattern Recognition: Find the Rule and Next Term You are given 8 number sequences. For each sequence: - Identify a clear rule that generates the terms...

Statistics & Math
29
0
199 people solved
Sep 6, 2025
SIG (Susquehanna) logo
SIG (Susquehanna)
Easy
Data Scientist

Determine roles from B's accusation

Knights and Knaves: Single Statement Inference You meet two islanders, A and B. Each person is either a knight (always tells the truth) or a knave (al...

Statistics & Math
8
0
61 people solved
Sep 6, 2025
C3 AI logo
C3 AI
Medium
Data Scientist

Answer regression error and coin toss expectation

Answer regression error and coin toss expectation Multiple choice: Regression assumptions + expectation Answer the following. 1) Linear vs. Logistic R...

Statistics & Math
6
0
50 people solved
Aug 9, 2025
Capital One logo
Capital One
Medium
Data Scientist

Determine Claim Rate for Breakeven in Insurance Portfolio

Weather-Insurance Portfolio Profitability You price a 12-month weather insurance policy. Customers pay premiums upfront for the year. Each policy can ...

Statistics & Math
78
0
176 people solved
Jul 12, 2025
Citadel logo
Citadel
Medium
Data Scientist

Calculate Probability of Third Card Being an Ace

Calculate the Probability of the Third Card Being an Ace You draw three cards without replacement from a standard 52-card deck with 4 Aces and 48 non-...

Statistics & Math
21
0
71 people solved
Jul 12, 2025
Google logo
Google
Medium
Data Scientist

Understand Simpson's Paradox with Simple Examples

Understand Simpson's Paradox with Simple Examples Scenario You are a data scientist advising a product team on statistical analysis and experimental d...

Statistics & Math
11
0
105 people solved
Aug 4, 2025
Point72 logo
Point72
Hard
Data Scientist

Derive the Optimal Bid in a Two-Bidder Second-Price Auction

Derive the Optimal Bid in a Two-Bidder Second-Price Auction Two risk-neutral bidders compete for one item in a sealed-bid second-price auction. Your p...

Statistics & Math
0
0
6 people solved
Nov 25, 2025
Roblox logo
Roblox
Hard
Data ScientistIntern

Compute sample size and Bayes posterior

You are implementing two small statistical utilities. Part A — Power / sample size (two-sample z-test) - Input: - x: a 1D numeric array of historica...

Statistics & Math
6
0
58 people solved
Nov 23, 2025
Citadel logo
Citadel
Hard
Data Scientist

Analyze profits under random walk and Brownian motion

Analyze profits under random walk and Brownian motion Random-Walk Trading Rules: Expectation and Variance Setup - Let (S_t) be a simple random walk fo...

Statistics & Math
9
0
91 people solved
Aug 1, 2025
Capital One logo
Capital One
Medium
Data Scientist

Model network-service unit economics and breakeven

A network service charges $40/month with the first 3 months free. Costs: variable service cost $25 per active month; one-time install cost $35 at acti...

Statistics & Math
4
0
72 people solved
Oct 13, 2025
Stripe logo
Stripe
Medium
Data Scientist

Diagnose and validate a ratio trend change

You are shown a weekly dispute_rate time series (disputes/succeeded_payments) that rises sharply, then partially reverts. Diagnose whether the change ...

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

Compare Bayesian and frequentist decisions

A/B Test With Beta–Binomial Posteriors and Decision-Making Under Asymmetric Costs You ran a two-arm A/B test on a binary KPI with independent Beta(1, ...

Statistics & Math
10
0
135 people solved
Oct 13, 2025
TikTok logo
TikTok
Medium
Data Scientist Locked

Model overdispersed counts; estimate treatment lift

This question evaluates modeling and inference for overdispersed, zero‑inflated count data, including estimation of treatment lift (rate ratios), disp...

Statistics & Math
4
0
40 people solved
Oct 13, 2025
Boston Consulting Group logo
Boston Consulting Group
Medium
Data Scientist

Defend MSE over MAE for car prices

Choosing MSE vs. MAE for Car Price Regression (Unscaled USD Target) You are training a regression model to predict car prices in USD. The target varia...

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

Analyze daily comments distribution and sampling

Daily Comments per Active User: Sampling and Inference You have, for a given day d, the count of comments made by each active user. Let there be m act...

Statistics & Math
7
0
50 people solved
Oct 13, 2025
DoorDash logo
DoorDash
Hard
Data Scientist

Define and compute retention and churn precisely

Retention and Churn for a Transactional Consumer App Context: You are analyzing retention and churn for a transactional consumer app (e.g., food deliv...

Statistics & Math
6
0
73 people solved
Oct 13, 2025
Stripe logo
Stripe
Medium
Data Scientist

Compute power and interpret uplift metrics

A/B Test on Conversion: Powering, Inference, CUPED, Multiple Testing, and Clustering You are running a two-arm A/B experiment on a binary conversion o...

Statistics & Math
2
0
38 people solved
Oct 13, 2025

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