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) a score above 70 is considered passing. which class had more passing scores? class a(b) which class had a higher median test score? class a(c) which class had the highest test score? class a(d) which class had test scores with a larger interquartile range (iqr)? class a

Explanation:

Step1: Analyze passing scores

Since both classes have the same number of students, we look at the portion of the box - and - whisker plot above 70. For Class A, a larger portion of the data (more than half) is above 70. For Class B, less than half of the data is above 70.

Step2: Analyze median

The median is represented by the line inside the box. Class A's median line is to the right of Class B's median line, so Class A has a higher median.

Step3: Analyze highest score

The end of the whisker (or the outlier point) represents the highest score. Class A's highest score (the right - most point) is higher than Class B's.

Step4: Analyze IQR

The IQR is the length of the box. Class A's box is longer than Class B's box, so Class A has a larger IQR.

Answer:

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