Question

the mean ages with standard deviations of four swim teams at a swim club are given below.

team	mean	standard deviation
stars	16	4.1
dolphins	18	1.5
giants	14	0.3
mackerels	15	2.3

which statement is most likely to be true?
the ages of the mackerels are the most dispersed from the teams mean.
the ages of the stars are the most dispersed from the teams mean.
the ages of the dolphins are the most dispersed from the teams mean.
the ages of the giants are the most dispersed from the teams mean.

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures dispersion.

Step2: Compare standard deviations

Stars: 4.1; Dolphins: 1.5; Giants: 0.3; Mackerels: 2.3.

Step3: Identify highest standard deviation

The highest standard deviation is 4.1 (Stars), so their ages are most dispersed.

Answer:

B. The ages of the Stars are the most dispersed from the team's mean.