Question

the following boxplot summarizes the earnings made on one day at 45 movie theaters. which of the following best compares the median movie theater earnings with the mean movie theater earnings? a the median and mean are equal because the distribution is likely symmetric. b the median and mean are equal because the distribution is likely skewed to the right. c the median is less than the mean because the distribution is likely symmetric. d the median is less than the mean because the distribution is likely skewed to the right. e the median is less than the mean because the distribution is likely skewed to the left.

Explanation:

1. Analyze the boxplot: There are outliers (stars) on the upper (right) side, indicating a right - skewed distribution.
2. Recall the relationship between mean and median in skewed distributions: In a right - skewed distribution, the mean is pulled towards the tail (higher values) and is greater than the median. So the median is less than the mean because the distribution is likely skewed to the right.

Answer:

D. The median is less than the mean because the distribution is likely skewed to the right.