Final answer:
The pair of measurements that will show the most stability in individual self-concept in Dr. Gilmore's longitudinal study is at the ages of 30 and 40.
Step-by-step explanation:
The pair of measurements that will show the most stability in individual self-concept in Dr. Gilmore's longitudinal study is when participants are measured at the ages of 30 and 40.
According to research, self-concept tends to become more stable and consistent as individuals progress into adulthood. By the age of 30, most people have developed a relatively stable self-concept based on their experiences, relationships, and personal growth. Therefore, the measurements taken at the ages of 30 and 40 are likely to show the most stability in individual self-concept.