Final answer:
IQ scores are quantitative continuous data measured at the interval scale level, representing intellectual ability through numbers with meaningful differences but no true zero point.
Step-by-step explanation:
The IQ scores of students at the local college are quantitative data because they consist of numbers that represent different levels of intellectual ability. This data can be considered continuous because IQ scores, although often reported as whole numbers, can be expressed as fractions and are the result of measurement. The level of measurement for IQ scores would be at the interval scale level because there is a definite ordering with meaningful differences between values but no true zero point (an IQ of 0 does not mean the absence of intelligence).