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Statistics Interview Questions for Data Science

5 Statistics questions with answers for data science roles. Tick what you have solved to track your progress.

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01

Explain p-value in simple words.

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The probability of seeing a result at least this extreme if the null hypothesis were true. A small p-value (for example < 0.05) is evidence against the null hypothesis.
02

What is the Central Limit Theorem?

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The distribution of sample means approaches a normal distribution as the sample size grows (roughly 30+), whatever the population's shape. It lets us build confidence intervals and run hypothesis tests on means.
04

How do you design an A/B test?

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Define the hypothesis and one primary metric, calculate sample size from the baseline, minimum detectable effect, α and power, randomise users, run for full business cycles, check for sample-ratio mismatch, then test both statistical and practical significance.
05

Correlation vs covariance?

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Covariance shows the direction of a relationship but depends on units. Correlation is covariance scaled to −1…+1, so it shows direction and strength and is unit-free.