[Verse 1] When data comes in numbers all around We need to find the story to be found The mean tells us the average that we see Arithmetic's the sum divided free Geometric for the growth rates that we track Harmonic when the rates are looking back The median's the middle when arranged The mode's the one that shows up most unchanged [Chorus] Stats and probability, making sense of all we see Mean, median, and mode help us decode Variance shows the spread, standard deviation's thread Normal curves and confidence, that's how we make our best defense [Verse 2] The range shows us from lowest up to high Variance tells us how the data fly Standard deviation's square root of the same Skewness shows if tails are playing games Kurtosis tells us if the peak is tall These descriptive stats help us see it all [Chorus] Stats and probability, making sense of all we see Mean, median, and mode help us decode Variance shows the spread, standard deviation's thread Normal curves and confidence, that's how we make our best defense [Verse 3] Probability's the chance that things occur Conditional depends on what we were Bayes' theorem flips the question that we ask Addition rule for either task Multiplication when both events align Total probability makes it all combine [Bridge] Uniform distribution's flat and wide Binomial counts success with pride Normal curve's the bell we recognize T-distribution when the sample size Is small and we don't know sigma true Chi-square and F have their own breakthrough [Verse 4] Sampling helps us estimate the whole Point estimates play the starring role Confidence intervals give us a range Central limit theorem's never strange It makes the means approach normal form Even when the population's not the norm [Chorus] Stats and probability, making sense of all we see Mean, median, and mode help us decode Variance shows the spread, standard deviation's thread Normal curves and confidence, that's how we make our best defense [Outro] Null hypothesis we test with care Alternative's the claim that we declare Type one error rejects when true Type two accepts when false comes through P-values tell us what to believe Statistics help us all achieve
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