5, 7, 7, 8, 10, 11, 12, 15, 17. Q1 = 7, Q2 = 11, Q3 = 15 Q1 = 7, Q2 = 10, Q3 = 13.5 Q1 = 6, Q2 = 9, Q3 = 12 Q1 = 7.5, Q2 = 10.5, Q3 = 13.5

Question

5, 7, 7, 8, 10, 11, 12, 15, 17. Q1 = 7, Q2 = 11, Q3 = 15 Q1 = 7, Q2 = 10, Q3 = 13.5 Q1 = 6, Q2 = 9, Q3 = 12 Q1 = 7.5, Q2 = 10.5, Q3 = 13.5

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Khải Quang 4 years 2021-09-03T05:54:17+00:00 1 Answers 4 views 0

Answers ( )

  1. Orla
    0
    2021-09-03T05:55:27+00:00
    Reply

    Answer:

    Q_1 = 7

    Q_2 = 10

    Q_3 = 13.5

    Step-by-step explanation:

    Given

    5, 7, 7, 8, 10, 11, 12, 15, 17.

    Required

    Determine Q1, Q2 and Q3

    The number of data is 9

    Calculating Q1:

    Q1 is calculated as:

    Q_1 = \frac{1}{4}(N + 1)

    Substitute 9 for N

    Q_1 = \frac{1}{4}(9 + 1)

    Q_1 = \frac{1}{4}*10

    Q_1 = 2.5th\ item

    This means that the Q1 is the mean of the 2nd and 3rd data.

    So:

    Q_1 = \frac{1}{2}(7+7)

    Q_1 = \frac{1}{2}*14

    Q_1 = 7

    Calculating Q2:

    Q2 is calculated as:

    Q_2 = \frac{1}{2}(N + 1)

    Substitute 9 for N

    Q_2 = \frac{1}{2}(9 + 1)

    Q_2 = \frac{1}{2}*10

    Q_2 = 5th\ item

    Q_2 = 10

    Calculating Q3:

    Q3 is calculated as:

    Q_3 = \frac{3}{4}(N + 1)

    Substitute 9 for N

    Q_3 = \frac{3}{4}(9 + 1)

    Q_3 = \frac{3}{4}*10

    Q_3 = 7.5th\ item

    This means that the Q3 is the mean of the 7th and 8th data.

    So:

    Q_3 = \frac{1}{2}(12+15)

    Q_3 = \frac{1}{2}*27

    Q_3 = 13.5

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