identifying the standard deviation\nthe standard deviation is _\ncomparing standard deviations\ntwo…

identifying the standard deviation\nthe standard deviation is _\ncomparing standard deviations\ntwo libraries collected data for the question “on average, how many books did each student check out from the library this year?”\nstandard deviation for library a 4.0939\nstandard deviation for library b 10\nlibrary b shows _ variability than library a.\nthe standard deviation is _ when the data set is more spread out.\nthe standard deviation is _ when the variability is small.

identifying the standard deviation\nthe standard deviation is _\ncomparing standard deviations\ntwo libraries collected data for the question “on average, how many books did each student check out from the library this year?”\nstandard deviation for library a 4.0939\nstandard deviation for library b 10\nlibrary b shows _ variability than library a.\nthe standard deviation is _ when the data set is more spread out.\nthe standard deviation is _ when the variability is small.

Answer

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures data spread. Larger value means more variability.

Step2: Compare library A and B standard - deviations

Library A has standard deviation 4.0939 and Library B has 10. Since 10>4.0939, Library B has more variability.

Step3: Understand spread and standard - deviation relation

The standard deviation is larger when the data set is more spread out.

Step4: Understand variability and standard - deviation relation

The standard deviation is smaller when the variability is small.

Answer:

Library B shows more variability than Library A. The standard deviation is larger when the data set is more spread out. The standard deviation is smaller when the variability is small.