api: "YAML JSON TOON Database"
version: 1.0.0
format: json
dataset:
  slug: statistics-basics
  title: "Statistics Basics"
  description: "Fundamental statistical measures and concepts."
  category: Mathematics
  category_slug: mathematics
  tags: "math,statistics,probability,data-science"
  view_count: 0
data
  [7]{measure,description,formula}:
    "Mean (Average)","Sum of all values divided by count.","xbar = Sum(xi) / n"
    Median,"Middle value when data is sorted. Robust to outliers.","Middle element (or avg of two)"
    Mode,"Most frequently occurring value in the dataset.","argmax frequency"
    Variance,"Average squared deviation from the mean.","sigma2 = Sum(xi - xbar)2 / n"
    "Standard Deviation","Square root of variance; measures spread in original units.","sigma = sqrt(variance)"
    Correlation,"Measure of linear relationship between two variables.","r = Cov(X,Y) / (sigma_x * sigma_y)"
    Z-Score,"Number of standard deviations a value is from the mean.","z = (x - xbar) / sigma"