Final answer:
The correlation coefficient, represented by r, does not directly use the mean or variability of measures, which makes the statement false. It only indicates the strength and direction of the relationship between variables, without implying causality or health benefits.
Step-by-step explanation:
The assertion that a correlation coefficient makes use of both the mean and the variability of a measure is indeed false. The correlation coefficient, denoted as r, uses the sums and products of the variables' values, but it does not directly incorporate the means or variances of these variables in its formula. Instead, it captures the strength and direction of a linear relationship between two quantitative variables. It is important to note that a positive correlation does not indicate health benefits, but simply a relationship where both variables tend to increase or decrease together. Furthermore, and very importantly, a correlation does not necessarily imply causation.