standard_description: Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
problem_activity: Problem 1
A company hires five people for the same job for one week. The amount that each person is paid for the week is shown in the table below.
|   **           Person          **    | **           Person A          ** | **           Person B          ** | **           Person C          ** | **           Person D          ** | **           Person E          ** |
|--------------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|
| **           Amount Paid          ** |               $360                |               $340                |               $300                |               $200                |               $400                |
Person D states that the payments are not fair since each person is doing the same job and brings the same set of skills to the job. Everyone agrees that they should all get paid the same amount.
How much should each person get paid so that everyone gets the same amount? Assume that the company will spend the same amount as it currently is.
Problem 2
After finding the average or fair share payment for each person, Person E decides to not take the job because they would be making less money.
a.   If Person E leaves, then what is the new average payment of persons A–D?
b.   What impact did Person E leaving have on the average payment?
Problem 3
The company asks the five people how many hours each person worked that week to complete the job. The results are shown in the table below.
|    **           Person          **    | **           Person A          ** | **           Person B          ** | **           Person C          ** | **           Person D          ** | **           Person E          ** |
|---------------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|
| **           Hours worked          ** |                24                 |                28                 |                22                 |                20                 |                36                 |
What is the mean, or average, number of hours worked by a person last week?


aligns: no