Question

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

Explanation:

Step1: Identify the median

The median in a box - and - whisker plot is the line inside the box. For Class A, the median is at a higher value on the number line compared to Class B.

Step2: Determine passing scores

A score above 70 is passing. The number of data points (since both classes have the same number of students) can be estimated by the position relative to 70. Class A has more of its box (representing the middle 50% of data) and whiskers above 70.

Step3: Find the highest score

The end of the whisker (or the outlier point) represents the highest score. Class A has a higher - value end of the whisker.

Step4: Calculate the IQR

The IQR is the length of the box. Class B's box is longer.

Answer:

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