This is a curated, evolving list of real Statistics interview questions and answers, designed by a former Meta Staff Data Scientist who is still actively interviewing candidates (albeit currently as a Staff ML Scientist). Practicing these questions will help you prepare for Data Scientist and Product Data Scientist roles at FAANG and similar-tier companies.
| Problem | Topics | Difficulty |
|---|---|---|
| Two-sample t-test | Hypothesis testing | Easy |
| ( Login required ) Gambler’s ruin win probability | Gambler ruin, Random walk, Expectation | Medium |
| ( Login required ) Relationship between p-val and confidence interval | Confidence interval, P-value, Hypothesis testing | Easy |
| ( Login required ) Prussian horses | Poisson, Hypothesis testing, CDF | Medium |
| ( Login required ) Monotonic draws | Expectation | Hard |
| ( Login required ) Measuring sticks | Variance | Medium |
| ( Login required ) Manual estimation of flips | Normal, CDF, Binomial, CLT | Medium |
| ( Login required ) Biased coin | Expectation, CLT, Binomial, Normal, Bernoulli, Hypothesis testing, CDF | Medium |
| ( Subscription required ) Distribution of a CDF | CDF, Inverse transform | Medium |
| ( Subscription required ) Dynamic coin flips | Expectation, Simulation | Hard |
| ( Subscription required ) Expected number of consecutive heads | Expectation | Medium |
| ( Subscription required ) An intuitive way to write power | Power, Hypothesis testing | Easy |
| ( Subscription required ) Covariance of dependent variables | Variance, Uniform, Covariance, Expectation | Medium |
| ( Subscription required ) Confidence intervals that overlap | Confidence interval, Hypothesis testing | Medium |
| ( Subscription required ) Confidence interval definition | Confidence interval, Hypothesis testing | Easy |
| ( Subscription required ) Number of draws to get greater than 1 | Normal, Geometric, CDF, Expectation | Medium |
| ( Subscription required ) P-value definition | P-value, Hypothesis testing | Easy |
| ( Subscription required ) CI of flipping heads | Confidence Interval, CLT, Bernoulli trials | Medium |
| ( Subscription required ) Buy and sell stocks | Gambler ruin, Expectation, Recursion, Random walk | Medium |
| ( Subscription required ) Tests for normality | Hypothesis testing, Normality | Easy |