Question

problem 11: spiral review
here are two data sets.
data set a: 6, 7, 8, 8, 8, 8.5, 9
data set b: 4, 7, 8, 8, 9, 12, 12
which one has the larger standard deviation?
data set a
data set b

Explanation:

Step1: Analyze Data Spread

Data Set A: Values are 6, 7, 8, 8, 8, 8.5, 9. Most values cluster around 8.
Data Set B: Values are 4, 7, 8, 8, 9, 12, 12. Includes 4 (low) and 12 (high), wider spread.

Step2: Relate to Standard Deviation

Standard deviation measures data spread. A wider spread (more variation from mean) means larger standard deviation. Data Set B has more extreme values (4, 12) than Data Set A, so it has a larger standard deviation.

Answer:

Data Set B