[Verse 1] Picture graphs that lean and bend Like towers tilting in the wind When data clusters left or right The balance isn't quite in sight Symmetric curves stand straight and tall Bell-shaped with no lean at all But skewness pulls the tail away Revealing where the outliers stay [Chorus] Skew to the right, the tail extends far Positive numbers, that's where you are Skew to the left, negative sign Mean chases tail in perfect time Kurtosis measures heavy tails When extreme values tell their tales Remember this financial friend Shape matters where your data bends [Verse 2] Right-skewed data trails behind Income distributions you'll find Few earn millions, most earn less The wealthy tail creates the mess Left-skewed flips the other way Age at death on any day Most live long, some pass too soon The tail points left like crescent moon [Chorus] Skew to the right, the tail extends far Positive numbers, that's where you are Skew to the left, negative sign Mean chases tail in perfect time Kurtosis measures heavy tails When extreme values tell their tales Remember this financial friend Shape matters where your data bends [Bridge] Platykurtic flattens out Fewer extremes without a doubt Mesokurtic normal height Standard bell curve looks just right Leptokurtic peaks up high Fat-tailed risks that make you cry Stock returns can shock and sting When kurtosis spreads its wing [Verse 3] Mean gets pulled toward the tail While median holds without fail Mode sits where the peak appears Three measures painting pictures clear Portfolio managers must know Which way their return spreads flow Risk assessment starts with shape No distribution can escape [Final Chorus] Skew to the right, the tail extends far Positive numbers, that's where you are Skew to the left, negative sign Mean chases tail in perfect time Kurtosis measures heavy tails When extreme values tell their tales Master these shapes, you'll understand How data moves across the land
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