Question

1. the oldest person in the learning lab is 75 years old. the youngest person is 18 years old. to calculate the difference in the ages is which measure of central tendency?

options: mean, mode, range, median

Explanation:

To determine the measure of central tendency for the difference between the oldest (75) and youngest (18) ages, we analyze each option:

• Mean: The average of values, calculated as $\frac{\text{Sum of values}}{\text{Number of values}}$. Not related to the difference between max and min.
• Mode: The most frequently occurring value. Irrelevant to the age difference.
• Range: Defined as $\text{Maximum value} - \text{Minimum value}$. Here, $75 - 18$ is the range, which measures the spread (a type of central tendency - related measure for dispersion).
• Median: The middle value when data is ordered. Not related to the max - min difference.

Answer:

C. Range