Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q. 2.23

Expert-verified

Introductory Statistics

Found in: Page 98

Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

The following data are the number of pages in 40 books on a shelf. Construct a box plot using a graphing
calculator, and state the interquartile range.
$136; 140; 178; 190; 205; 215; 217; 218; 232; 234; 240; 255; 270; 275; 290; 301; 303; 315; 317; 318; 326; 333; 343;$
$349; 360; 369; 377; 388; 391; 392; 398; 400; 402; 405; 408; 422; 429; 450; 475; 512$

We may deduce from the box plot that the distribution is more or less symmetrical, and that there are no outliers in the data.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given

Here we have $136; 140; 178; 190; 205; 215; 217; 218; 232; 234; 240; 255; 270; 275; 290; 301; 303; 315; 317; 318; 326; 333; 343;$

$349; 360; 369; 377; 388; 391; 392; 398; 400; 402; 405; 408; 422; 429; 450; 475; 512$

Step 2: Solution

The box plot of the given number of pages is

By calculation we get the IQR as $161 .$

Step 3: Explanation of Solution

The shape of the distribution is defined by the box plot.

It provides an overview of the quartiles.

As a result, we can quickly grasp the concepts of skewness and median.

The fundamental aspect of a boxplot is that it is primarily used to find outliers.

An outlier is a star that is outside of the acceptable range and is indicated on the plot.

There is no outlier in our situation.

The 1st quartile is represented by the end point of the boxplot below, while the

3 r d

quartile is represented by the end point of the boxplot above.

So the data in the boxplot is

50 %

of the data, and the data outside of the interval is

50 %

of the data.

We must also calculate

I Q R = 3 r d

quartile

- 1 s t

quartile as a result of this.

1st quartile

= 235.5, 3 r d

quartile

= 396.5

, according to the graph.

As a result, the IQR is

= 396.5 - 235.5 = 161 .

Most popular questions for Math Textbooks

a. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?

b. The $40 t h$ percentile of speeds in a particular race is $7.5$ miles per hour. Write a sentence interpreting the $40 t h$ percentile in the context of the situation.

What word describes a distribution that has two modes?

In a survey, $40$ people were asked how many times per year they had their car in the shop for repairs. The results are shown in Table $2.8 .$ Construct a line graph.

Use the following information to answer the next six exercises. 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.
Second quartile = median = $50^{t h}$ percentile = _______

What is the difference between cumulative relative frequency and relative frequency for each data value?

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free