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What is the definition of range in statistics?

Mathematics

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3 steps

The question asks for the definition of the range.

  1. Understand the definition of range in statistics.

    The range is a measure of spread or dispersion in a dataset. It quantifies the total spread of the data by calculating the difference between the highest and lowest values.

  2. Evaluate the given options.

    • "The average of the squared deviations from the mean": This is the definition of variance.
    • "The difference between the 3rd and 1st quartile": This is the definition of the interquartile range (IQR).
    • "The square root of the variance": This is the definition of standard deviation.
    • "The difference between the largest and smallest values": This is the correct definition of the range.
  3. Select the correct option.

    The range is calculated as:

    Range=Maximum Value−Minimum Value\text{Range} = \text{Maximum Value} - \text{Minimum Value}

    The correct option is The difference between the largest and smallest values.

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