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The height of 3-year-old girls is approximately normally distributed. Emmie is 32.0 inches tall and is at the 32nd percentile of the distribution. Diana is 34.0 inches tall and is at the 62nd percentile of the distribution.

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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.

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