{
    "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": [
        {
            "measure": "Mean (Average)",
            "description": "Sum of all values divided by count.",
            "formula": "xbar = Sum(xi) / n"
        },
        {
            "measure": "Median",
            "description": "Middle value when data is sorted. Robust to outliers.",
            "formula": "Middle element (or avg of two)"
        },
        {
            "measure": "Mode",
            "description": "Most frequently occurring value in the dataset.",
            "formula": "argmax frequency"
        },
        {
            "measure": "Variance",
            "description": "Average squared deviation from the mean.",
            "formula": "sigma2 = Sum(xi - xbar)2 / n"
        },
        {
            "measure": "Standard Deviation",
            "description": "Square root of variance; measures spread in original units.",
            "formula": "sigma = sqrt(variance)"
        },
        {
            "measure": "Correlation",
            "description": "Measure of linear relationship between two variables.",
            "formula": "r = Cov(X,Y) / (sigma_x * sigma_y)"
        },
        {
            "measure": "Z-Score",
            "description": "Number of standard deviations a value is from the mean.",
            "formula": "z = (x - xbar) / sigma"
        }
    ]
}