Question

question 21 of 25
what is the first quartile of the data set represented by the box plot shown
below?
18 25 30 45 53
a. 25
b. 30
c. 45
d. 18

Explanation:

Step1: Recall Box Plot Components

In a box plot, the box represents the interquartile range (IQR). The left edge of the box is the first quartile (\(Q_1\)), the line inside the box is the median (\(Q_2\)), and the right edge of the box is the third quartile (\(Q_3\)). The whiskers extend to the minimum and maximum values.

Step2: Identify \(Q_1\) from the Box Plot

Looking at the given box plot, the left edge of the box is at 25. So, the first quartile (\(Q_1\)) is 25.

Answer:

A. 25