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Percentiles & Quartiles definitions

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  • Percentile
    Represents the percentage of data points in a dataset that fall below a specific value, indicating relative standing.
  • Quartile
    Divides a dataset into four equal parts, with each representing a specific percentile threshold.
  • First Quartile
    Marks the 25th percentile, indicating the value below which 25% of the data points lie.
  • Third Quartile
    Marks the 75th percentile, indicating the value below which 75% of the data points lie.
  • Second Quartile
    Corresponds to the 50th percentile, commonly known as the median of the dataset.
  • Median
    Identifies the middle value in an ordered dataset, splitting the data into two equal halves.
  • Interquartile Range
    Measures the spread of the middle 50% of data, calculated as the difference between the third and first quartiles.
  • Dataset
    A collection of values or responses, often ordered for easier calculation of percentiles and quartiles.
  • Response
    An individual value or score within a dataset, used in percentile and quartile calculations.
  • Notation
    Symbols and subscripts used to represent percentiles and quartiles, such as P75 or Q1.
  • Average
    A method for representing a percentile or quartile by taking the mean of two adjacent values in a dataset.
  • Order
    Arrangement of data values from lowest to highest, essential for accurate percentile and quartile determination.
  • Formula
    A mathematical expression used to calculate percentiles, involving counts of responses below a value and total responses.
  • Subscript
    A small character or number written below and to the right of a symbol, indicating specific percentiles or quartiles.
  • Variability
    The degree of spread or dispersion in a dataset, often assessed using the interquartile range.