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

Explanation:

Step1: Identify medians from box - plots

The vertical line inside the box represents the median. For Class A, the median is around 75. For Class B, the median is around 70.

Step2: Determine passing scores

Count the number of data points (represented by the length of the box - plot parts) above 70. For Class A, a significant portion of the box and the right - hand whisker are above 70. For Class B, less of the box and whisker are above 70.

Step3: Find highest scores

The end of the right - hand whisker represents the highest score. Class A's highest score is around 85, while Class B's highest score is around 90.

Step4: Calculate IQR

The IQR is the length of the box (Q3 - Q1). Class A's box length is from approximately 70 to 80 (IQR = 10). Class B's box length is from approximately 65 to 75 (IQR = 10).

Answer:

(a) Class A
(b) Class A
(c) Class B
(d) Neither (both have the same IQR)