The histogram shows the duration, in minutes, of movies in theaters.

what relationship between the median and mean is shown by the histogram?

a) the mean is less than the median.

b) the median is less than the mean.

c) the mean is equal to the median.

d) the median and mean cannot be compared from a histogram.

A histogram is a type of bar graph that presents the frequency of your data. In this problem, the histogram shows the frequency of movies (y-axis) with respect to the minutes of their duration (x-axis). Example, there are 2 movies that have a duration of 84-91 minutes, 4 movies having a duration of 91-98 minutes, and so on and so forth.

The mean of these data is (2+4+5+4+3+3+2+2)/8 = 3.125
The median is the middle data when the frequency is arranged from least to greatest. Thus, the median in the data set 2, 2, 2, 3, 3, 4, 4, 5 is 3. Therefore, the mean is greater than the median. 

The answer is: the median is less than the mean