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9 November, 17:46

Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week? Week 1 Week 2 81 50 63 58 39 72 104 62 54 110 72 68 34 79 A. The IQR for Week 1 is 65, and the IQR for Week 2 is 76. B. The IQR for Week 1 is 63, and the IQR for Week 2 is 68. C. The IQR for Week 1 is 50, and the IQR for Week 2 is 54. D. The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

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  1. 9 November, 19:10
    0
    D.

    The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
  2. 9 November, 20:41
    0
    Answer: D. The IQR for week 1 is 31 and the IQR for week 2 is 25

    Step-by-step explanation: When you divid a data set in groups of 4 and measure the bulk of the values, this is called Interquatile Range (IQR).

    It's calculated as follows:

    1) Put the data in order;

    week 1 : 39 50 58 63 72 81 104

    week 2 : 34 54 62 68 72 79 110

    2) Find the median of each data set:

    *Note: Median is the middle value of a set.

    week 1 : Median 63

    week 2 : Median 68

    3) Find Q1, which is the median in the lower half of the set:

    week 1: the lower set is 39 50 58.

    The middle value is 50.

    So Q1 = 50.

    week 2: the lower set is 34 54 62

    The middle value is 54.

    So Q1 = 54.

    4) Find Q3, which is the middle value of the upper half:

    week 1 : the upper half is 72 81 104

    Q2 = 81

    week 2 : the upper half is 72 79 110

    Q2 = 79

    5) To determine IQR, subtract Q1 and Q3:

    week 1: 81 - 50 = 31

    week 2 : 79 - 54 = 25

    In conclusion, the IQR for week 1 is 31 and for week 2 is 25.
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