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Chapter 3: Q.11 (page 159)

Southern education For a long time, the South has lagged behind the rest of the United States in the performance of its schools. Efforts to improve education have reduced the gap. We wonder if the South stands out in our study of state average SAT Math scores.

The figure below enhances the scatterplot in Figure 3.2(page 144) by plotting 12southern states in red.

(a) What does the graph suggest about the southern states?

(b) The point for West Virginia is labeled in the graph. Explain how this state is an outlier.

Short Answer

Expert verified

a). The Southern States, which are shown in red, are at the bottom of both clusters, their mean SAT scores are lower.

b). West Virginia is an outlier.

Step by step solution

01

Part (a) Step 1: Given Information 

The figure below enhances the scatterplot by plotting 12southern states in red.

02

Part (a) Step 2: Explanation 

Examine the two main groups of states on the graph: those with a lower percentage of people taking the test and those with a higher percentage.

The Southern States, in red, are at the bottom of both clusters, thus their meanSAT scores were lower.

03

Part (b) Step 1: Given Information 

The figure below enhances the scatterplot by plotting 12southern states in red.

04

Part (b) Step 2: Explanation 

A data point that does not fit in with the rest of the graph is called an outlier.

West Virginia is an exception in that it has a substantially lower mean than other states with similar percentages of students taking the exam, while having a far smaller percentage of students taking the exam.

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