Question

per hour quits and is replaced with a person earning $8 per hour. the graph of the resulting salaries is shown in plot 2. plot 1 plot 2 how does the mean and median change from plot 1 to plot 2? the mean and median remain the same. the mean decreases, and the median remains the same. the mean remains the same, and the median decreases. the mean and median decrease.

Explanation:

Step1: Understand the effect on mean

The mean is the average of all values. When a higher - value ($15$ per hour) is replaced with a lower - value ($8$ per hour), the sum of all values decreases. Since the number of values remains the same, the mean ($\text{Mean}=\frac{\text{Sum of values}}{\text{Number of values}}$) decreases.

Step2: Understand the effect on median

The median is the middle value when the data is ordered. In a box - plot, the median is represented by the line inside the box. Looking at Plot 1 and Plot 2, the position of the line inside the box (which represents the median) does not change. So the median remains the same.

Answer:

The mean decreases, and the median remains the same.