Would the data sets that follow possess relative frequency distributions that are symmetric, skewed to the right, or skewed to the loft?Explain. Complete parts a through f below. a. Tho salaries of all persons employed by a large department Choose the correct answer below. A. The data set is skewed left because the mean value would be less than the median value. There would be a few, but small , measurements that would pull the mean away from the median toward the left. B. The data set is symmetric because the mean value would be nearly the same as the median value. The measurements would be centered around a single value. C. The data set is skewed right because the mean value would be more than the median value. There would be a few, but large , measurements that would pull the mean away from the median toward the right.

## Step 1<br />The problem is asking us to determine the nature of the frequency distribution of the salaries of all persons employed by a large department. The options suggest that the distribution could be symmetric, skewed to the left, or skewed to the right.<br /><br />## Step 2<br />In a symmetric distribution, the mean and median are approximately the same. This is because the data points are evenly distributed on both sides of the mean.<br /><br />## Step 3<br />In a skewed left distribution, the mean is less than the median. This is because the data points are concentrated on the right side of the distribution, pulling the mean towards the left.<br /><br />## Step 4<br />In a skewed right distribution, the mean is more than the median. This is because the data points are concentrated on the left side of the distribution, pulling the mean towards the right.<br /><br />## Step 5<br />In the case of the salaries of all persons employed by a large department, it is likely that there are a few individuals with very high salaries that pull the mean towards the right. This would make the distribution skewed to the right.