Final answer:
Child's age in the correlation between shoe sizes and reading test scores is a confounding variable because it relates to both variables and could lead to erroneous causal inferences.
Step-by-step explanation:
In the scenario where a sociologist discovers a correlation between children's shoe sizes and their reading test scores, and a colleague suggests that both are correlated with a child's age, the child's age would be classified as a confounding variable. A confounding variable is an extraneous variable that correlates with both the independent and dependent variable, potentially leading to a false assumption of causation. In scientific research, identifying and controlling for confounding variables is critical to maintain the validity of the study's conclusions.