how does the addition of a possible outlier on plot b affect the center of plot b relative to the center of…

how does the addition of a possible outlier on plot b affect the center of plot b relative to the center of plot a?\na mean increases and median increases\nb median increases and mean unchanged\nc median decreases and mean decreases\nd mean increases and median is unchanged\ne mean decreases and median is unchanged

how does the addition of a possible outlier on plot b affect the center of plot b relative to the center of plot a?\na mean increases and median increases\nb median increases and mean unchanged\nc median decreases and mean decreases\nd mean increases and median is unchanged\ne mean decreases and median is unchanged

Answer

Explanation:

Step1: Recall effect of outlier on mean and median

The mean is affected by outliers as it takes into account all values in the data - set. The median is the middle - value and is less affected by outliers. If the outlier is a large value, the mean will increase.

Step2: Analyze the situation for Plot B

Since the outlier is likely a large value (assuming typical right - skewed or non - symmetric data situations where outliers are large values), the mean of Plot B will increase. The median, being the middle value, will remain unchanged as long as the position of the middle value does not shift due to the addition of just one outlier.

Answer:

D. mean increases and median is unchanged