Statistics Prompts

Explain the central limit theorem, evaluate whether it applies to a study's sample size and independence, or connect it to a named statistical concept.

Calculate the mean, median, and mode of a data set with the sum, count, sorted positions, and frequency count shown at every step.

Explain the difference between descriptive and inferential statistics with a shared example, check whether a claim is descriptive or inferential, or classify a technique.

Explain or verify a p-value interpretation for a given analysis, checked against a significance threshold and the most common misreading, separating statistical from practical significance.

Calculate the Pearson correlation coefficient from paired x,y data with every step shown, or interpret a given r value for its strength, direction, and limitation.

Explain the difference between a parameter and a statistic, determine whether a number describes a population or sample, or find the correct symbol notation.

Interpret a confidence interval against its confidence level, explain the concept with an example, or build an interval from a point estimate and standard error.

Calculate a data set's standard deviation with the mean, deviations, squared deviations, and variance shown at every step, using the correct population or sample formula.

Interpret a regression's slope, intercept, and R-squared in plain language, explain the concept through a worked example, and check whether an interpretation is correct.