Question

the salaries, in thousands of dollars, of all individuals employed at an online schooling company are depicted in the box plot below: what is the interquartile range (iqr) of the salaries? 105 65 30 20

Explanation:

Step1: Identify Q1 and Q3 from box plot

In a box plot, the left edge of the box is \( Q_1 \) (25th percentile) and the right edge is \( Q_3 \) (75th percentile). From the plot, \( Q_1 = 50 \) (thousand dollars) and \( Q_3 = 80 \) (thousand dollars).

Step2: Calculate IQR

IQR is defined as \( IQR = Q_3 - Q_1 \). Substituting the values, \( IQR = 80 - 50 = 30 \).

Answer:

30