Google Statistics & Math Interview Questions
Google Statistics & Math interview questions at Google typically blend core probability and inferential statistics with applied experimental design and metric diagnosis. What’s distinctive is the emphasis on real-world thinking: interviewers evaluate not only whether you can compute a p-value or derive a distribution, but whether you can state assumptions, choose the right test or estimator, reason about bias/variance and power, and communicate tradeoffs clearly. Expect both theoretical white‑board style questions and product‑oriented case prompts where you propose analyses, sample sizes, and guardrails for interpretation. ([cleverprep.com](https://www.cleverprep.com/companies/google/data-scientist?utm_source=openai)) For interview preparation focus on fundamentals (distributions, hypothesis testing, confidence intervals, conditional probability and basic linear algebra), applied experimental design and metric interpretation, and practice explaining your choices end‑to‑end. Time yourself on short analytic case studies

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"I recently cleared Uber interviews (strong hire in the design round) and all the questions were present in prachub."
"The search is what sold me. I typed in a really niche DP problem I got asked last year and it actually came up, full breakdown and everything. These guys are clearly updating it constantly."
Define and sample a truncated normal
Define the truncated normal Z | a < Z < b for Z ~ N(0,1): write the normalized pdf and cdf. Then design efficient samplers for three cases: (i) a = 1,...
Test if one value comes from N(μ,σ²)
This question evaluates understanding of hypothesis testing and statistical inference, specifically the formulation and interpretation of a z-statisti...
Test a coefficient and explain t-distribution
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Estimate Population Mean and Conversion Rate Accurately
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Assess Fundamental Statistics Knowledge in Data-Science Interviews
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Generate Uniform Samples and Estimate Percentiles
Solve two Google statistics questions: sample uniformly from a square using rand01 and estimate percentiles from histogram buckets using cumulative co...
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 ...
Explain and resolve Simpson’s paradox
Define Simpson’s paradox and construct a concrete numeric example where group-wise success rates favor treatment in each subgroup but the aggregate ra...
Explain Simpson’s Paradox and Its Causes with Example
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Generate Samples from Truncated Normal Distribution
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Approximate a percentile from buckets
Estimate a percentile from histogram bucket summaries by finding the cumulative-count bucket, avoiding midpoint bias, interpolating within the bucket ...
Determine Impact of New Chat-Notification on User Engagement
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Estimate percentile from buckets
You are given an approximate histogram of search-query frequencies. Each bucket i is represented as (left_bd_i, right_bd_i, bucket_count_i), where buc...