Final answer:
The lengths of fish in inches represent quantitative continuous data at the ratio scale level of measurement, allowing for various statistical analyses.
Step-by-step explanation:
The correct answer is option quantitative and the level of measurement is ratio scale level. The lengths of a sample of fish caught in the waters of a region, presented in inches, are numerical and can be ordered, added, or subtracted, which means the data set is quantitative. Moreover, since these measurements are absolute and have a natural zero point (a fish can have a length of 0 inches), they can also be divided, classifying them at the ratio scale level.
This level is the highest level of measurement and allows for the most types of statistical analysis. Therefore, the lengths of the fish represent quantitative continuous data because they can take on any value within a range and are measured to the nearest tenth of an inch, just as weights or times could be. Quantitative continuous data are often the results of precise measurements.