Question

the histogram shows the duration, in minutes, of movies in theaters. what relationship between the median and mean is shown by the histogram? the median is less than the mean. the mean is equal to the median. the mean is less than the median. the median and mean cannot be compared from a histogram.

Explanation:

Step1: Analyze histogram shape

The histogram is skewed right. In a right - skewed distribution, extreme high values pull the mean in the direction of the tail.

Step2: Recall mean - median relationship

In a right - skewed distribution, the mean is greater than the median because the mean is influenced by the large values in the tail while the median is the middle value and less affected by outliers.

Answer:

The median is less than the mean.