Question

a school creates a histogram representing the individual travel times for students riding the bus to school. the histogram is right - skewed, and the mean time is 25 minutes. which statement best describes the possible value of the median time of students riding the bus to school? the median time is less than 25 minutes. the median time is exactly equal to 25 minutes. the median time is approximately equal to 25 minutes. the median time is greater than 25 minutes.

Explanation:

Step1: Recall skewness - mean - median relationship

In a right - skewed distribution, the tail of the distribution is on the right side. The mean is pulled in the direction of the tail. The median is the middle value of the data set when it is ordered. Since the mean is affected by the extreme values in the right - tail, in a right - skewed distribution, the mean is greater than the median.

Step2: Apply to the given problem

Given the mean time is 25 minutes and the distribution is right - skewed, the median time must be less than the mean time.

Answer:

The median time is less than 25 minutes.