Question

o history 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) a score above 70 is considered passing. which class had more passing scores?

Explanation:

Step1: Analyze the highest score

In a box - and - whisker plot, the end of the right - most whisker (or the outlier point) represents the highest score. For Class A, the highest score is relatively low. For Class B, the right - most point (the end of the whisker) is at a higher value on the test - score axis.

Step2: Analyze passing scores

In a box - and - whisker plot, the median divides the data into two halves. Also, the box represents the inter - quartile range (the middle 50% of the data). For a score above 70 to be passing:

• For Class A, the median is around 70 (the line inside the box). The right half of the box (from the median to the third quartile) and the right whisker (if any) would contribute to passing scores.
• For Class B, the third quartile (the right end of the box) is above 70. Since the total number of students is the same (given in the problem statement), and in a box - and - whisker plot, the length of the box and whiskers along with the position relative to 70:

The right half of Class B's data (from the median to the third quartile and the right whisker) has more data points above 70 compared to Class A.

Answer:

(a) Class B
(b) Class B