Question

a. based on the boxplot above, what is the value for the first quartile?
b. based on the boxplot above, what is the value for the second quartile?
c. based on the boxplot above, what is the value for the third quartile?

Explanation:

Step1: Recall box - plot quartile positions

In a box - plot, the left - hand side of the box is the first quartile ($Q_1$), the line inside the box is the second quartile ($Q_2$ or median), and the right - hand side of the box is the third quartile ($Q_3$).

Step2: Identify $Q_1$

Looking at the box - plot, the left - hand side of the box is at \(10\).

Step3: Identify $Q_2$

The line inside the box is at \(13\).

Step4: Identify $Q_3$

The right - hand side of the box is at \(15\).

Answer:

a. \(10\)
b. \(13\)
c. \(15\)