Question

analyze the graph and determine the most appropriate measure of center. which of the following statements is true? the median is most appropriate because the graph is symmetric. the mean is most appropriate because the graph is symmetric. the median is most appropriate because the graph is skewed. the mean is most appropriate because the graph is skewed. done

Explanation:

Step1: Identify graph shape

The bar - graph of annual salaries is skewed. There is a long tail on the right - hand side of the distribution.

Step2: Recall measure of center properties

The mean is affected by extreme values (outliers). In a skewed distribution, these extreme values pull the mean in the direction of the tail. The median, on the other hand, is the middle value and is not affected by extreme values.

Step3: Determine appropriate measure

For a skewed distribution, the median is the most appropriate measure of center.

Answer:

The median is most appropriate because the graph is skewed.