Question

select the graph with the greatest standard deviation and explain how you know.

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data. Data points more spread out have a higher standard deviation.

Step2: Analyze graph a

Graph a has data points clustered more closely around the center.

Step3: Analyze graph b

Graph b has data points that are more spread out from the center compared to graph a.

Answer:

Graph b has the greatest standard deviation because its data points are more spread out from the center of the distribution compared to graph a.