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17 August, 20:23

You are given the five number summary from a set of data as follows: Minimum=5, Q1=7, Median=8, Q3=11.5 and Maximum=15. Explain how to find the difference between the Range and the Interquartile Range. Find this difference.

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  1. 17 August, 23:12
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    a) Range = 10

    b) inter quartile range = 4.5

    Step-by-step explanation:

    Explanation:-

    Given minimum = 5

    Median=8

    upper quartile (Q3) = 11.5

    Lower quartile range = 7

    Maximum=15

    a) Range = maximum value - minimum value

    = 15 - 5

    = 10

    b) Interquartile Range = median of upper half - median of lower half

    = Q₃ - Q₁

    = 11.5 - 7

    = 4.5
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