Question

data analysis and probability
using box-and-whisker plots to compare data sets
class a
class b
55 60 65 70 75 80 85 90 95
test score
(a) which class had a higher median test score?
select
(b) which class had a smaller range of test scores?
select
(c) which class had test scores with a larger interquartile range (iqr)?
select
(d) which class had the highest test score?
select

Explanation:

Step1: Analyze Median (Part a)

In a box - and - whisker plot, the median is the line inside the box. For Class A, the median line is at a higher test score value compared to Class B's median line. So Class A has a higher median.

Step2: Analyze Range (Part b)

The range is calculated as the maximum value minus the minimum value. For Class A, the minimum value (left end of the whisker) and maximum value (right end of the whisker) have a smaller difference compared to Class B. So Class A has a smaller range.

Step3: Analyze IQR (Part c)

The inter - quartile range (IQR) is the length of the box (Q3 - Q1). The box for Class B is longer than the box for Class A, so Class B has a larger IQR.

Step4: Analyze Highest Score (Part d)

The highest score is the right - most point of the whisker. For Class B, the right - most point is at a higher test score than Class A's right - most point. So Class B has the highest test score.

Answer:

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