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20 February, 11:52

Consider the following dаta: 3,4,6,7,9,9,11

If 5 were added to the each of the values, how would that affect the median. (no need to do any calculating, but sure to explain.)

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  1. 20 February, 12:33
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    The data is already sorted for us. The median of this set is the middle most value which is 7 (in slot 4; three values to the left and three values to the right).

    So the median is originally 7

    If we add 5 to each data value we get

    3+5 = 8

    4+5 = 9

    6+5 = 11

    7+5 = 12

    9+5 = 14

    9+5 = 14

    11+5 = 16

    So the old data set

    {3,4,6,7,9,9,11}

    shifts to

    {8,9,11,12,14,14,16}

    after we add 5 to each value

    The middle most value of the updated set is 12. It corresponds exactly to the old median of 7.

    So we technically didn't even need to add 5 to all of the values to see what the new median would be. We simply need to add 5 to the old median to get the new median

    I. e,

    (new median) = (old median) + 5
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