Discrete Mathematics
# Understanding Data

What is wrong with this news coverage?

There are eight people in a family. One of the members receives \(x\) presents. Five members receive \(x+4\) each and the rest only get \(x-2\) each.

Consider the 8 numbers of presents received, and find \[2 \times \mathrm{mode} - \mathrm{mean} - \mathrm{median}.\]

I. 9

II. 10

III. 11

Find \(x-y\).

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