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29 November, 05:39

Which element of variation would not be affected by adding the data value 15 to the data set {3, 5, 6, 8, 9, 10, 13, 14}? A. the lower quartile of the data set B. the median of the data set C. the upper quartile of the data set D. the range of the data set

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  1. 29 November, 05:40
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    B. The median of the data set

    **Update; A. The lower quartile**

    See other answer for explanation.
  2. 30 November, 04:33
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    [3,5,6],8,9, (10,13,14) [3,5,6,8],9, (10,13,14,15)

    Q1 (lower quartile) = 5 Q1 = (5 + 6) / 2 = 11/2 = 5.5

    median = (8 + 9) / 2 = 17/2 = 8.5 median = 9

    Q3 (upper quartile) = 13 Q3 = (13 + 14) / 2 = 27/2 = 13.5

    range = 14 - 3 = 11 range = 15 - 3 = 12

    I may be totally off base here ... but I am not arriving at an answer choice
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