Question

of the following dotplots, which represents the set of data that has the greatest standard deviation?

Explanation:

Step1: Recall standard deviation concept

Standard deviation measures data spread. More spread - higher standard deviation.

Step2: Analyze dotplots

• Plot A: Dots clustered around middle (0 - 10), less spread.
• Plot B: Dots at two ends (0 and 10), large spread.
• Plot C: Dots in middle - lower spread than B.
• Plot D: Dots in three groups, spread less than B.
• Plot E: Dots in three groups, spread less than B.

Answer:

B (the dotplot with dots at 0 and 10, showing maximum spread)