/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.14 Find the interquartile range for... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

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.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:

a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12%of high school students in the state. In this context, what percentile does the top 12%represent?

b. Students whoseGPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 12%of all students in the state. What percentage of students from each high school are "eligible in the local context"?

The following data are the shoe sizes of 50male students. The sizes are continuous data since shoe size is measured. Construct a histogram and calculate the width of each bar or class interval. Suppose you choose six bars.

9;9;9.5;9.5;10;10;10;10;10;10;10.5;10.5;10.5;10.5;10.5;10.5;10.5;10.511;11;11;11;11;11;11;11;11;11;11;11;11;11.5;11.5;11.5;11.5;11.5;11.5;11.512;12;12;12;12;12;12;12.5;12.5;12.5;12.5;14

Is this a sample or the entire population?

a. sample

b. entire population

c. neither

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Complete the table.

Forty bus drivers were asked how many hours they spend each day running their routes (rounded to the nearest hour). Find the 65thpercentile.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.