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Chapter 2: Q. 2.14 (page 90)

Find the interquartile range for the following two data sets and compare them.

Test Scores for Class A

69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94

Test Scores for Class B

90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100

Short Answer

Expert verified
We can tell whether data set is wider or more dispersed based on the IQR.
In this case, we may argue that class B is larger than class A.

Step by step solution

01

Given

We have

Test Scores for Class A

69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94

Test Scores for Class B

90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100

02

Explanation

The IQR of the class A and B is,

IQR1=20;1QRR2=23

Because the IQR interval for class A is shorter than for class B, the scores of class B are more dispersed than those of class A.
The IQR is the difference between the quartiles 1stand 3rd.
Class B has a wider spread than class A, thus we may say that class B is more scattered than class A.

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