Question

consider the horizontal box - plot shown to the right. a. what is the median of the data set? m = 5 (round to the nearest integer as needed.) b. what are the upper and lower quartiles of the data set? ql = qu = (round to the nearest integer as needed.)

Explanation:

Step1: Identify median from box - plot

The line inside the box represents the median. From the box - plot, the median $m$ is the value at the vertical line within the box. Visually, it appears to be 5.

Step2: Identify lower and upper quartiles

The left - hand side of the box represents the lower quartile $Q_L$ and the right - hand side of the box represents the upper quartile $Q_U$. Visually, $Q_L$ is 4 and $Q_U$ is 8.

Answer:

a. 5
b. $Q_L = 4$, $Q_U = 8$