For each pair of data sets, which is likely to have the greater standard deviation? Ages of thirty college students, ages of thirty high school students.
It is difficult to determine which set would have the greater standard deviation without additional information. However, in general, the ages of thirty high school students may have a greater range and therefore a higher likelihood of a higher standard deviation compared to the ages of thirty college students.
To determine which pair of data sets is likely to have the greater standard deviation, we can consider the following points:
1. Range of values: College students generally have a wider range of ages compared to high school students. College students can range from 18 to mid-20s or even 30s, while high school students typically range from 14 to 18.
2. Diversity: College students are usually more diverse in terms of their age distribution. High school students are more likely to be concentrated within a narrower age range.
Given these considerations, it is likely that the standard deviation of the ages of thirty college students would be greater than the standard deviation of the ages of thirty high school students.