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Applied Scientist Interview Questions
Practice 9403 coding, system design and machine learning questions from 546 companies, sorted by role, topic and interview round. Every question has step-by-step hints, a code runner that supports 8 languages and an AI mentor; members also get the full solution walkthrough.
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- AmazonMediumApplied ScientistCompute and Explain Mean and Variance
This question tests your understanding of statistical estimators for mean and variance, the derivation of Bessel's correction, catastrophic cancellation in naive computations, and numerically stable single-pass algorithms like Welford's.
Statistics & MathOnsiteStatisticsNumerical AnalysisAlgorithms - AmazonMediumApplied ScientistMean and Variance Through Maximum Likelihood
Derive the maximum likelihood estimators (MLE) for the mean and variance of a univariate Gaussian distribution, and analyze the bias of the resulting variance estimator.
Statistics & MathOnsitemaximum-likelihoodgaussian-distributionbias-variance
Amazon