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17 August, 12:18

The student who traveled to 3 states visited 3 new states during a vacation. Does increasing the 3 to 6 change the median? If so, how?

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  1. 17 August, 12:44
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    Yes, changing from 3 states to 6 states changes the median because:

    - The median of the first 3 states is simply the middle-placed state of the 3 states.

    - The median of 6 states is the average of the 2 middle states.

    Step-by-step explanation:

    Suppose the first 3 states in order are:

    A, B, C.

    The median of these states is simply the middle state, B.

    Adding 3 new states to have:

    A, B, C, D, E, F.

    The median is not explicit. It is the average of the two middle states, C and D.

    Average of C and D is half of the sum of C and D.

    That is (C + D) / 2.

    Which is different from B.
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