Question

two science classes with the same number of students took a final exam. the box - and - whisker plots below (sometimes called boxplots) summarize the test scores for each class. use the box - and - whisker plots to answer the questions. (a) which class had the highest test score? (b) which class had a higher median test score? (c) which class had a smaller range of test scores? (d) which class had test scores with a larger interquartile range (iqr)?

Explanation:

Step1: Identify highest score

In a box - and - whisker plot, the end of the right - most whisker represents the highest score. For Class A, the highest score is around 85, and for Class B, it is around 95.

Step2: Identify median

The line inside the box represents the median. For Class A, the median is around 70, and for Class B, it is around 65.

Step3: Calculate range

The range is the difference between the highest and lowest scores. For Class A, the lowest score is around 60 and the highest is around 85, so the range is \(85 - 60=25\). For Class B, the lowest score is around 60 and the highest is around 95, so the range is \(95 - 60 = 35\).

Step4: Calculate IQR

The inter - quartile range (IQR) is the difference between the third quartile (end of the box on the right) and the first quartile (end of the box on the left). For Class A, the first quartile is around 65 and the third quartile is around 75, so \(IQR_A=75 - 65 = 10\). For Class B, the first quartile is around 60 and the third quartile is around 80, so \(IQR_B=80 - 60=20\).

Answer:

(a) Class B
(b) Class A
(c) Class A
(d) Class B