Question

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

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.