What type of statistical data does Sandy use to compare the median square footage of homes?

The correct answer is that Sandy uses a random sample to compare the median square footage of homes. In statistical analysis, a random sample refers to a subset of data that is chosen from a larger population in such a way that each member of the population has an equal chance of being selected. This approach helps to ensure that the sample is representative of the overall population, minimizing biases and allowing for more accurate comparisons.

When Sandy analyzes the median square footage derived from a random sample, she can draw more reliable conclusions about the square footage characteristics of homes in the larger population. This method is essential in real estate studies, as it provides insights that are not confined to a single neighborhood, specific price range, or type of property, thus reflecting a broader market trend.

Utilizing a population average might create a skewed understanding if the overall data set has extreme outliers that could distort the average value, and relying exclusively on historical data may not take into account current market shifts. Furthermore, a subset of data, if not randomly selected, may not accurately represent the wider range of properties, leading to potential inaccuracies in conclusions drawn about median square footages across the entire housing market. This emphasizes the significance of using a random sample in statistical comparisons.