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 $2 \times \mathrm{mode} - \mathrm{mean} - \mathrm{median}.$

$N$ real numbers (not necessarily unique) is 20. The sum of the 3 smallest of these numbers is 5. The sum of the 3 largest is 7. Which of the following are possible values for $N$?

The sum ofI. 9

II. 10

III. 11

$x$ is the mean of the numbers in the white circles. The values of $y$ is the mean of numbers in the blue circles.

The value ofFind $x-y$.