Question

assume that the average rating in each of the three classes is 5 (which should be visually reasonably clear from the histograms), and recall the interpretation of the sd as a typical or average distance between the data - points and their mean. judging from the table and the histograms, which class would have the largest standard deviation, and which one would have the smallest standard deviation? select an answer has the smallest standard deviation, and select an answer has the largest standard deviation. question help: message instructor submit question

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data points around the mean. A smaller standard - deviation means data points are closer to the mean, and a larger standard - deviation means data points are more spread out.

Step2: Analyze histograms visually

If the data in a class is tightly clustered around the mean in a histogram, it has a small standard deviation. If the data is widely spread out from the mean in a histogram, it has a large standard deviation.

Since no histograms are provided in the text, we assume the general rule: A class with data points closely grouped around the mean has the smallest standard deviation, and a class with data points widely dispersed from the mean has the largest standard deviation.

Answer:

Without the actual histograms, we can't give a specific answer. But conceptually, the class with data points most closely clustered around the mean has the smallest standard deviation, and the class with data points most spread out from the mean has the largest standard deviation.