of the distribution of the retirement ages extends farther than the other tail. Therefore, this distribution is .
Use the tool to obtain the mean and median of the retirees’ retirement ages. (Hint: On the Variable sliding panel for the variable Retirement Age, click the Statistics button to view computed statistics for the variable.)
The mean is , and the median is . The mean is than the median.
Use the tool to view the histogram of the incomes of the retirees. (Hint: Click a Variable sliding panel in the bottom left-hand corner of the tool screen. Click the downward-pointing arrow next to Select Variable, and select the variable Income. Again, click the Histogram button.)
of the distribution of the incomes extends farther than the other tail. Therefore, this distribution is .
Use the tool to obtain the mean and median of the incomes. (Hint: Select the Variable sliding panel for the variable Income, and click the Statistics button.)
The mean is , and the median is . The mean is than the median.
When the distribution is symmetrical, the mean is the median. When the distribution is positively skewed, the mean is usually the median. When the distribution is negatively skewed, the mean is usually the median.
The presence of extremely large or small values in the data affects the mean than the median. Therefore the is the preferred measure of central tendency when the distribution is skewed.