Question

number of classrooms
25
20
15
10
5
0
25–29 30–34 35–39 40–44 45–49 50–54 55–59
boxes
which interval includes the outlier?
25–29 boxes
30–34 boxes
45–49 boxes
55–59 boxes

Explanation:

Step1: Recall the definition of an outlier

An outlier is a data point that is far from other data points. In a histogram, it is in an interval with a much lower or higher frequency compared to adjacent intervals.

Step2: Analyze the intervals

• For the interval \(25 - 29\) boxes: The frequency (number of classrooms) is very low compared to other non - adjacent intervals.
• For the interval \(30 - 34\) boxes: There is no data (frequency is \(0\) as per the histogram's visual trend, but even if we assume some non - zero value, it's not as extreme as \(25 - 29\) in terms of being separate).
• For the interval \(45 - 49\) boxes: It has a moderate frequency and is adjacent to intervals with non - extremely different frequencies.
• For the interval \(55 - 59\) boxes: It has a high frequency but is part of a group (\(50 - 59\) has relatively high frequencies) and not isolated.

Answer:

25 - 29 boxes