Question

the boxplot below shows salaries for construction workers and teachers. construction teacher 20 25 30 35 40 45 50 55 salary (thousands of $) if a person is making the maximum salary for a construction worker, they are making more than what percentage of teachers? they are making more than % of teachers.

Explanation:

Step1: Understand box - plot properties

In a box - plot, the box represents the inter - quartile range (IQR) where 50% of the data lies between \(Q_1\) (first quartile) and \(Q_3\) (third quartile). The whiskers represent the rest of the data. The maximum value of construction workers is greater than the third quartile (\(Q_3\)) of teachers.

Step2: Recall quartile - percentage relationship

The first quartile (\(Q_1\)) represents the 25th percentile, the median (\(Q_2\)) represents the 50th percentile, and the third quartile (\(Q_3\)) represents the 75th percentile. If a value is greater than \(Q_3\) of a data set, it is greater than 75% of the data points in that data set.

Answer:

75