Question

Government agencies keep data about the income distribution of the population. The Nelson family and Moore family live in a county with 5000 families. The Nelson families income is at the 79th percentile. The Moore families income is at the 71st percentile.(This is one question)

Answer 1

Part a)

A percentile is a subset of data which is greater than all previous percentile values.

Therefore, we can state that the Nelson family earns more than about 79% of families in their county.

Part b)

According to the previous definition, and considering that the median is the value that splits the data set into a lower half and a upper half, we can also state that both Nelson family and Moore family earn more than the median income.