Answer:
Step-by-step explanation:
In the context of the heights of 3-year-old girls being approximately normally distributed, we can interpret Emmie and Diana's heights and percentiles as follows:
1. Emmie:
Emmie is 32.0 inches tall.
She is at the 32nd percentile of the distribution, which means that her height is greater than or equal to approximately 32% of 3-year-old girls.
2. Diana:
Diana is 34.0 inches tall.
She is at the 62nd percentile of the distribution, which means that her height is greater than or equal to approximately 62% of 3-year-old girls.
These percentiles provide a way to understand where Emmie and Diana's heights fall within the distribution of heights for 3-year-old girls. Diana's height of 34.0 inches is relatively higher compared to other 3-year-old girls, as she is at the 62nd percentile. On the other hand, Emmie's height of 32.0 inches is lower compared to most 3-year-old girls, as she is at the 32nd percentile. Percentiles are useful for comparing individual measurements to a larger dataset and understanding where they stand within that dataset.