how does the mean and median change from plot 1 to plot 2?\nthe mean and median remain the same.\nthe mean…

how does the mean and median change from plot 1 to plot 2?\nthe mean and median remain the same.\nthe mean decreases, and the median remains the same.\nthe mean remains the same, and the median decreases.\nthe mean and median decrease.

how does the mean and median change from plot 1 to plot 2?\nthe mean and median remain the same.\nthe mean decreases, and the median remains the same.\nthe mean remains the same, and the median decreases.\nthe mean and median decrease.

Answer

Explanation:

Step1: Recall mean and median concepts

Mean is sum of values divided by number of values. Median is middle - value when data is ordered.

Step2: Analyze median

The position of the median in a box - and - whisker plot is represented by the line inside the box. In both Plot 1 and Plot 2, the position of the line inside the box (median) is the same. So the median remains the same.

Step3: Analyze mean

Since a higher - value data point is replaced with a lower - value data point (a person earning more is replaced with a person earning less), the sum of all the values in the data set will decrease. As the number of data points remains the same, and mean=$\frac{\text{Sum of values}}{\text{Number of values}}$, the mean will decrease.

Answer:

The mean decreases, and the median remains the same.