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Chapter 10: Q. AP3.9 (page 702)

School A has 400students and School B has 2700students. A local newspaper wants to compare the distributions of SAT scores for the two schools. Which of the following would be the most useful for making this comparison?

a. Back-to-back stem plots for A and B

b. A scatterplot of A versus B

c. Two dot plots for A and B drawn on the same scale

d. Two relative frequency histograms of A and B drawn on the same scale

e. Two bar graphs for A and B drawn on the same scale

Short Answer

Expert verified

The correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

Step by step solution

01

Given Information

We have to determine the comparison that is useful for the local newspapers distributions of SAT scores.

02

Simplification

Because the populations of both schools have varying numbers of students, the relative frequency histogram is used to standardize the number of individuals per school and make it more efficient for comparing and comprehending populations.
The distribution knowledge is far superior than frequency histograms and far superior to stem plots.
As a result, when you have a lot of data, stem and leaf plots aren't as informative. Because SAT scores are numerical and ordinal, a histogram would be far more useful and efficient.

Hence, the correct option is (d) two relative frequency histograms of A and B drawn on the same rule.

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