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26 July, 04:46

The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 53 61 63 72 76 What is the interquartile range of the set of data?

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  1. 26 July, 06:49
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    (IQR) Interquartile range = 74 - 57 = 17

    Step-by-step explanation:

    Arrange the data set from least to greatest. (which already is in a least to greatest form)

    53, 61, 63, 72, 76

    find the median (the middle number)

    Median: 63

    then find both lower and upper quartile:

    Lower quartile: 53 + 61 = 114/2 = 57

    Upper quartile: 72 + 76 = 148/2 = 74

    Formula for the interquartile range:

    (IQR) interquartile range: upper quartile - lower quartile = answer
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