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9 January, 11:29

Determine the IQR of this data set. Then indicate whether the data set contains any outliers. Explain how you determined this.

10 13 15 12 12 4 12 17

12 13 15 18 10 11 20 19

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  1. 9 January, 14:06
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    The IQR of the data set is 4.5

    Step-by-step explanation:

    Given:

    10 13 15 12 12 4 12 17

    12 13 15 18 10 11 20 19

    Now, to determine the IQR (interquartile range) of this data set.

    So, we need to set the data in numerical orders:

    4 10 10 11 12 12 12 12

    13 13 15 15 17 18 19 20

    Now, we split this in half and get the medians of both half:

    4 10 10 11 12 12 12 12 Median 1 = 11.5

    13 13 15 15 17 18 19 20 Median 2 = 16

    Getting the medians of both half now we subtract the median 1 from median 2:

    IQR = 16 - 11.5

    IQR = 4.5.

    Therefore, the IQR of the data set is 4.5
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