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28 July, 16:57

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

State A 7 9 5 4 25 21 6 6 8

State B 14 12 10 13 15 14 11 15 16

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

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  1. 28 July, 18:08
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    State A : 4,5,6,6,7,8,9,21,25

    min = 4

    max = 24

    Q1 = (5 + 6) / 2 = 11/2 or 5.5

    Q2 = 7

    Q3 = (21 + 9) / 2 = 30/2 = 15

    IQR = Q3 - Q1 = 15 - 5.5 = 9.5

    state B : 10,11,12,13,14,14,15,15,16

    min = 10

    max = 16

    Q1 = (11 + 12) / 2 = 22/2 = 11

    Q2 = 14

    Q3 = 15

    IQR = 15 - 11 = 4

    I am not good with the symmetrical part ... but I do not believe they are symetrical
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