Upstart Data Scientist Statistics & Math Interview Questions

Practice 15 real Statistics & Math interview questions for Data Scientist roles at Upstart.

15 Questions 1 Company02.19.2026
Showing 15 results
Role
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Upstart
Easy
Data Scientist

Compute decay, OLS, and classic probability results

You are asked several probability/statistics questions. 1) Radioactive decay (half-life) A radioactive atom has a half-life of 1 day. Assume each atom...

Statistics & Math
13
0
201 people solved
Dec 9, 2025
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Upstart
Medium
Data Scientist

Analyze HT vs HH stopping-time probabilities

Coin-Flip Stopping Game: HT vs HH You repeatedly flip a coin until either the pattern HT appears (Player A wins) or the pattern HH appears (Player B w...

Statistics & Math
9
0
162 people solved
Oct 13, 2025
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Upstart
Easy
Data Scientist

Assess Probability of Heads in Coin Tosses

Assess Probability of Heads in Coin Tosses Probability with Coin Tosses and the Normal Distribution Context Onsite data scientist screening question a...

Statistics & Math
28
0
88 people solved
Aug 4, 2025
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Upstart
Medium
Data Scientist

Solve drunk-passenger probability and simulate outcome

Lost Boarding Pass Puzzle: Last Passenger's Seat Context: Technical screen for a Data Scientist (Statistics & Math). Setup - There are n passengers la...

Statistics & Math
17
0
174 people solved
Oct 13, 2025
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Upstart
Medium
Data Scientist

Estimate Family Proportions and Explain Regression Anomalies

Estimate Family Proportions and Explain Regression Anomalies On-site Statistics Round Task Overview You are given a population of families that have e...

Statistics & Math
86
0
249 people solved
Aug 4, 2025
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Upstart
Medium
Data Scientist

Estimate and Derive Regression Coefficient for X on y

Estimate and Derive Regression Coefficient for X on y Statistics & Probability Onsite — Two-Part Question Context - You have a simple linear data-gene...

Statistics & Math
94
0
355 people solved
Aug 4, 2025
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Upstart
Easy
Data ScientistSenior+

Correct length-biased sampling from family-size survey

In a town, you visit a school and ask 100 kids: “How many children are in your family?” You observe: - 50 kids say their family has 1 child - 20 kids ...

Statistics & Math
14
0
141 people solved
Feb 19, 2026
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Upstart
Easy
Data Scientist

Calculate Expected Streaks in Coin Toss Sequence

Calculate Expected Streaks in Coin Toss Sequence Expected Number of Streaks in Coin Tosses Scenario You toss a coin repeatedly. A "streak" (a run) beg...

Statistics & Math
30
0
148 people solved
Aug 4, 2025
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Upstart
Medium
Data Scientist

Solve core probability/statistics mini-problems

Answer the following probability/statistics interview questions. Assume all randomness is independent unless stated otherwise. 1) Radioactive decay (h...

Statistics & Math
12
0
90 people solved
Nov 29, 2025
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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
122 people solved
Oct 25, 2025
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Upstart
Medium
Data Scientist Locked

Interpret A/B results with p-values and uncertainty

This question evaluates proficiency in statistical inference for A/B testing, covering confidence intervals, p-values, multiple-testing correction (Be...

Statistics & Math
6
0
121 people solved
Oct 13, 2025
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Upstart
Easy
Data Scientist Locked

Identify binomial model and compute moments

This question evaluates understanding of probability distributions and independence by identifying the binomial model and computing its probability ma...

Statistics & Math
9
0
102 people solved
Oct 13, 2025
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Upstart
Easy
Data Scientist Locked

Determine distribution of aX+b when X~N(0,1)

This question evaluates understanding of affine transformations of the normal distribution, moment calculation, and probability density manipulation, ...

Statistics & Math
8
0
61 people solved
Oct 13, 2025
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Upstart
Easy
Data Scientist

Calculate Particle Survival Probability After Time t

Calculate Particle Survival Probability After Time t Radioactive-Decay Style Probability Context You have 100 identical, independent particles. Each p...

Statistics & Math
7
0
114 people solved
Aug 4, 2025
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Upstart
Medium
Data ScientistSenior+

Estimate one-child household probability

You survey 100 children at a school and ask how many children are in their family. The responses are: - 50 children say their family has 1 child. - 20...

Statistics & Math
7
0
62 people solved
Dec 11, 2024

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