Question

consider the horizontal box - plot shown to the right.
b. what are the upper and lower quartiles of the data set? (round to the nearest integer as needed.) (q_{l}=4) (q_{u}=8)
c. what is the inter - quartile range of the data set? (round to the nearest integer as needed.) iqr = (square)

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is calculated as $IQR = Q_U - Q_L$, where $Q_U$ is the upper quartile and $Q_L$ is the lower quartile.

Step2: Substitute given values

Given $Q_U = 8$ and $Q_L = 4$, then $IQR=8 - 4$.

Step3: Calculate IQR

$IQR = 4$.

Answer:

4