Question

in the year 2018, it was estimated that approximately 28,000 floridians were homeless. a social worker estimates that 78% of these people were age 18 and up. in the distribution of ages of homeless floridians, an 18 year old would be considered what percentile? group of answer choices

Answer 1

An 18-year-old homeless Floridian would be considered in approximately the 78th percentile.

Step-by-step explanation:

To determine the percentile of an 18-year-old among homeless Floridians, we use the fact that 78% of the homeless population is 18 years and older. This means that 78% of the homeless fall into this age group or below.

Hence, an 18-year-old would fall within this 78%, indicating they are at or below the 78th percentile among homeless Floridians. Percentiles represent the percentage of values in a distribution that are equal to or below a certain value.

In this case, the 78th percentile suggests that 78% of the homeless population is 18 years old or younger. Therefore, an 18-year-old person would be within this range of 78% and not beyond it.

Understanding percentiles helps gauge where a particular data point falls within a distribution. In this scenario, an 18-year-old homeless person in Florida falls below approximately 78% of the homeless population in terms of age, making them a part of that percentile bracket.

Answer 2

An 18-year-old would be in the 22nd percentile among homeless Floridians in 2018.

Step-by-step explanation:

To determine the percentile of an 18-year-old among homeless Floridians in 2018, we need to find the percentage of homeless individuals that are younger than 18. The social worker estimated that 78% of the homeless people were 18 years and older. Therefore, the remaining 22% represents the percentage of homeless individuals under the age of 18. Since the question is asking for the percentile of 18-year-olds, we can conclude that an 18-year-old would be in the 22nd percentile among homeless Floridians in 2018.