Question

1. what is the iqr? (lesson 1 - 11)

a. 5 branches
b. 7 branches
c. 10 branches
d. 12 branches
number of branches on 10 - year - old trees

Explanation:

Step1: Recall the formula for IQR

The inter - quartile range (IQR) is calculated as \(IQR = Q_3 - Q_1\), where \(Q_3\) is the third quartile and \(Q_1\) is the first quartile.

Step2: Identify \(Q_1\) and \(Q_3\) from the box - plot

In a box - plot, the left - hand side of the box is \(Q_1\) and the right - hand side of the box is \(Q_3\). From the given box - plot of the number of branches on 10 - year - old trees, \(Q_1 = 10\) and \(Q_3 = 17\).

Step3: Calculate the IQR

Substitute the values of \(Q_1\) and \(Q_3\) into the formula \(IQR=Q_3 - Q_1\). So, \(IQR = 17-10=7\).

Answer:

B. 7 branches