two history classes with the same number of students took a final exam. the box - and - whisker plots below…

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

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

Answer

Explanation:

Step1: Identify highest score

The maximum value in a box - and - whisker plot is the end of the upper whisker. For Class A, the highest score is around 90 and for Class B it is around 80. So Class A had the highest test score.

Step2: Calculate IQR

The inter - quartile range (IQR) is (Q_3 - Q_1). For Class A, (Q_1\approx65), (Q_3\approx80), so (IQR_A=80 - 65 = 15). For Class B, (Q_1\approx70), (Q_3\approx75), so (IQR_B=75 - 70 = 5). Class A had a larger IQR.

Step3: Count passing scores

Scores above 70 are passing. In Class A, the number of data points above 70 (from the box - and - whisker plot) is more than in Class B. So Class A had more passing scores.

Step4: Identify median

The line inside the box represents the median. For Class A, the median is around 75 and for Class B, the median is around 70. So Class A had a higher median test score.

Answer:

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