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For a set of scores, will the interquartile range always be
less than the range? Explain your answer with an example.

  • math -

    use range 3.5

  • math -

    No, but the interquartile range will be always less than or equal to the range.
    For example:
    10 10 14 16 18 20 20
    Here the range is 20-10=10
    The interquartile range is also 20-10=10.

    For practical sized distributions, it is quite unlikely that equality holds, but it is a possibility.

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