Worked Examples
Browse common examples from different branches of math, each written with clear step-by-step instructions.
Showing 2 worked examples in Statistics.
Worked ExampleStatisticsExpected Value Calculator
Calculate the expected value and variance of a discrete random variable
Expected value is the probability-weighted average of a distribution's outcomes. Variance measures how spread out those outcomes are around that average. Both are computed from the same probability table.
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Worked ExampleStatisticsConfidence Interval Calculator
Build and interpret a confidence interval for a population mean
A confidence interval turns a sample mean into a range of plausible values for the population mean. The width of that range depends on the sample size, the variability in the data, and the chosen confidence level.
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