standard_description: Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.
problem_activity: Task
In Mrs. Sanchez' math classroom, more people sit on the right-hand side of the room than the left.  The students on the right-hand side of the classroom received the following scores on an exam worth 100 points:
$$ 85,\, 90,\, 100,\, 95,\, 0,\, 0,\, 90,\, 70,\, 100,\, 95,\, 80,\, 95 $$
The students on the left received these test scores:
$$65,\, 80,\, 90,\, 65,\, 80,\, 60,\, 95,\, 85$$
Make two box plots of the students' scores, one for each side of the room.
Make a statistical argument that the students on the right-hand side were more successful.
Make a statistical argument that the students on the left-hand side were more successful.


aligns: no