1. The problem asks whether the statement "The mean is the measure of central tendency most likely to be affected by an outlier" is true or false. 2. Important definitions: - The **mean** is the average of all data points. - The **median** is the middle value when data is ordered. - The **mode** is the most frequently occurring value. - An **outlier** is a value significantly different from other data points. 3. The mean is calculated as $$\text{mean} = \frac{\text{sum of all data points}}{\text{number of data points}}$$. 4. Outliers can greatly affect the sum and thus the mean, pulling it toward the outlier value. 5. The median, being the middle value, is less affected by extreme values because it depends on position, not magnitude. 6. The mode is unaffected by outliers unless the outlier itself is the most frequent value, which is rare. 7. Therefore, the original statement is true: the mean is the measure of central tendency most likely to be affected by an outlier. Final answer: A. The statement is true.