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3 January, 16:47

Find the median, range, and interquartile range of both sets:

Set 1: 65, 66, 77, 79, 81, 93, 104, 105

Set 2: 56, 1, 29, 72, 67, 59, 74, 60

Which is true about the two sets?

Set 1 has a range of 40 and a median of 85.

Set 2 has a range of 74 and a median of 62.

Both sets have an interquartile range of 27.

Set 2 has data that is closer to its median than Set 1.

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  1. 3 January, 17:04
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    C) Both sets have an interquartile range of 27.

    Step-by-step explanation:

    Sorted data

    Set 1: 65, 66, 77, 79, 81, 93, 104, 105

    Set 2: 1, 29, 56, 59, 60, 67, 72, 74

    Median position: (8+1) / 2 = 4.5th value

    Ranges:

    Set 1: 105 - 65 = 40

    Set 2: 74 - 1 = 73

    Medians:

    Set 1: (79+81) / 2 = 80

    Set 2: (59+60) / 2 = 59.5

    IQR:

    Set 1: (93+104) / 2 - (66+77) / 2

    = 27

    Set 2: (67+72) / 2 - (29+56) / 2

    = 27
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