Citadel Data Scientist Statistics & Math Interview Questions

Practice 16 real Statistics & Math interview questions for Data Scientist roles at Citadel.

16 Questions 1 Company03.14.2026
Showing 16 results
Role
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Citadel
Hard
Data Scientist

Solve probability and expectation problems

You are asked to solve the following probability and mathematical interview problems: 1. Squid Game glass bridge: There are B sequential bridge steps....

Statistics & Math
37
0
381 people solved
Jan 30, 2026
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Citadel
Hard
Data Scientist Locked

Solve probability and stopping questions

This set of problems evaluates probabilistic reasoning and mathematical statistics skills, covering convolution for sums of independent variables, exp...

Statistics & Math
19
0
358 people solved
Mar 14, 2026
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Citadel
Hard
Data Scientist Locked

Solve Classic Probability Questions

This set evaluates probabilistic reasoning and expectation computation across topics such as sequential conditional survival, convolution of continuou...

Statistics & Math
21
0
161 people solved
Feb 21, 2026
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Citadel
Easy
Data Scientist Locked

Find constant minimizing absolute error

This question evaluates understanding of L1 loss minimization, robust central-tendency estimators, and order-statistics reasoning for point estimation...

Statistics & Math
14
0
141 people solved
Feb 10, 2026
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Citadel
Medium
Data Scientist

Derive lower bound for equicorrelation rho

Equicorrelation Matrix PSD Condition Setup Consider zero-mean, unit-variance random variables whose pairwise correlations are all equal to a common va...

Statistics & Math
11
0
90 people solved
Oct 13, 2025
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Citadel
Medium
Data Scientist

Solve probability and expectation problems

Probability and Statistics Mini-Set Context: Answer each item independently. Unless otherwise specified, assume independence and uniform randomness; d...

Statistics & Math
20
0
155 people solved
Aug 11, 2025
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Citadel
Medium
Data Scientist

Compute P(third Ace | Ace in first two)

Conditional probability with cards drawn without replacement Problem You draw three cards without replacement from a standard 52‑card deck (4 Aces). G...

Statistics & Math
14
0
99 people solved
Oct 13, 2025
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Citadel
Medium
Data Scientist

Derive Coefficient and Covariance in Regression Analysis

Derive Coefficient and Covariance in Regression Analysis This statistics prompt tests correlation constraints, regression slope relationships, covaria...

Statistics & Math
96
0
219 people solved
Jul 12, 2025
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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
10
0
95 people solved
Aug 1, 2025
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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
61 people solved
Oct 13, 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
72 people solved
Jul 12, 2025
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Citadel
Easy
Data ScientistIntern

Diagnose and Validate a Regression Model

You fit a regression model to predict a continuous outcome. The headline error metric looks acceptable, but the team asks whether the model is trustwo...

Statistics & Math
1
0
22 people solved
Aug 4, 2025
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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
7
0
74 people solved
Jul 27, 2025
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Citadel
Easy
Data Scientist

Estimate constant under absolute loss

Suppose you have observed target values \(y_1, y_2, \dots, y_n\), and you want to fit the simplest possible model that predicts the same constant valu...

Statistics & Math
10
0
86 people solved
Jan 16, 2026
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Citadel
Medium
Data Scientist

Compute variance of trading profits

Compute variance of trading profits Symmetric Random Walk Trading Strategy: Profit Variance and Expectation Setup - Let S_t be a simple symmetric rand...

Statistics & Math
3
0
72 people solved
Aug 4, 2025
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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
57 people solved
Oct 13, 2025

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