Question

consider the histogram shown below. determine whether the mean is less than, equal to or greater than the median.
the mean is close to the median since the distribution is symmetric.
the mean is greater than the median since the distribution is skewed to the right.
the mean is greater than the median since the distribution is skewed to the left.
the mean is less than the median since the distribution is skewed to the left.

Explanation:

Step1: Analyze histogram shape

The histogram is skewed to the right. The tail on the right - hand side is longer.

Step2: Recall mean - median relationship

In a right - skewed distribution, the mean is pulled in the direction of the tail. The median is the middle value and is less affected by extreme values in the tail. So, the mean is greater than the median.

Answer:

The mean is greater than the median since the distribution is skewed to the right.