Rationale
Residents of a large metropolitan city would be most likely to have the highest standard deviation in scores of intelligence.
The diversity in socioeconomic backgrounds, educational levels, and access to resources among residents of a large metropolitan city creates a wide range of intelligence scores, leading to a higher standard deviation compared to more homogeneous groups.
A) Psychology professors
Psychology professors typically possess advanced degrees and share a similar educational background, resulting in a narrower range of intelligence scores. The homogeneity of their academic training and professional experience likely leads to a lower standard deviation in comparison to a more diverse population.
B) Residents of a large metropolitan city
The varied demographics of a large metropolitan city—including individuals from different educational, cultural, and socioeconomic backgrounds—contribute to a broad spectrum of intelligence scores. This diversity is expected to yield the highest standard deviation among the groups listed, reflecting significant differences in cognitive abilities across the population.
C) Airline pilots
Airline pilots must meet stringent training and education requirements, which generally results in a more uniform level of intelligence among them. While there may be some variation, the professional standards create a more homogenous group, thus leading to a lower standard deviation in intelligence scores.
D) Gifted students
Gifted students are selected based on their high cognitive abilities, which typically means they fall within a narrower intelligence band. Since they are often grouped together based on similar exceptional capabilities, the standard deviation in intelligence scores is likely to be lower than that of a more diverse group.
E) Piano teachers
Piano teachers may also exhibit a range of intelligence scores, but their shared expertise in music education tends to create a closer-knit group, resulting in a lower standard deviation compared to the broader population of residents in a large metropolitan area.
Conclusion
The standard deviation of intelligence scores is influenced by the diversity of the population being measured. Residents of a large metropolitan city represent a wide array of backgrounds and experiences, leading to greater variability in intelligence scores and thus the highest standard deviation among the options provided. In contrast, the more homogenous groups, such as psychology professors or gifted students, exhibit lower variability and standard deviation in their intelligence scores.
