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

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

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

Explanation

The IQR of the class A and B is,

${IQR}_{1} = 20; 1 {QRR}_{2} = 23$

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

1 s t

and

3 r d

Class B has a wider spread than class A, thus we may say that class B is more scattered than class A.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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

Step by step solution

Given

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Discrete Mathematics

Mechanics Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

Find the interquartile range for the following two data sets and compare them.Test Scores for Class A69;96;81;79;65;76;83;99;89;67;90;77;85;98;66;91;77;69;80;94Test Scores for Class B90;72;80;92;90;97;92;75;79;68;70;80;99;95;78;73;71;68;95;100

Short Answer

Step by step solution

Given

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Discrete Mathematics

Mechanics Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

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