Descriptive Statistics

Descriptive Statistics

1. Measures of Dispersion (Variability)

   • Range
     • Is the difference between the largest and the smallest observation in the data
   • Interquartile Range (IQR)
     • Is the difference between the 25th and 75th percentile
   • Variance
     • Population Variance
     • Sample Variance
   • Standard Deviation
     • Population Standard Deviation
     • Sample Standard Deviation
   • Mean Absolute Deviation (MAD)
   • Coefficient of Variation (CV)
   • Z-Score (Standard Score)
   • Range Rule of Thumb
   • Chebyshev's Inequality
   • Quartile Deviation
   • Semi-Interquartile Range
   • Gini Coefficient
   • Relative Mean Difference

2. Measures of Central Tendency

   • Mean
     • Arithmetic Mean
     • Weighted Mean
     • Harmonic Mean
     • Trimmed Mean
     • Winsorized Mean
   • Median
     • is the middle value in distribution
   • Mode
     • Is the most commonly occurring value in a distribution
   • Geometric Mean
   • Midrange
   • Quartiles
     • First Quartile (Q1)
     • Second Quartile (Q2, Median)
     • Third Quartile (Q3)
   • Other Measures
     • Percentiles
     • Deciles
     • Centiles

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