/*! 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 3.47. In each of Exercises 3.42-3.50, ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q 3.47. (page 104)

In each of Exercises 3.42-3.50, use the technology of your choice to obtain the measures of center that are appropriate from among the mean, median, and mode. Discuss your results and decide which measure of center is most appropriate. Provide a reason for your answer. Note: If an exercise contains more than one data set, perform the aforementioned tasks for each data set.

The Beatles. In the article, "Length of The Beatles' Songs" (Chance, Vol. 25, No. 1, pp. 30-33), T. Koyama discusses aspects and interpretations of the lengths of songs by The Beatles. Data on the length, in seconds, of 229 Beatles' songs are presented on the WeissStats site.

Short Answer

Expert verified

Median is the most appropriate.

The values of mean, median, and mode are 163.75 sec, 153 sec, and 158 sec respectively.

Step by step solution

01

Step 1. Given information.

The given statement is:

The information is supplied in seconds for the Beatles' length.

02

Step 2. Determine the most suitable center measure.

The information provided is quantitative. As a result, the data's mean, median, and mode can be derived.

MINITAB is used to calculate the mean, median, and mode.

The following is the procedure for calculating the mean, median, and mode.

  • Select Stat >Basic Statistics> Descriptive Statistics from the drop-down menu.
  • Fill in the LENGTH columns in Variables.
  • Select Statistic from the drop-down menu, then Mean, Median, and Mode.
  • Click OK
03

Step 3. MINITAB output.

The output of MINITAB is displayed below.

Figure 1 shows that the mean is 163.75 seconds, the median is 153 seconds, and the mode is 158 seconds.

As a result, the mean, median, and mode are the appropriate measures of center for the given data, and their values are 163.75 seconds, 153 seconds, and 158 seconds, respectively.

The median is the most appropriate because 50% of the songs are greater than 153 seconds, and estimates are more accurate other than mean and mode.

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

Net worth: The board of Governors of the Federal Reserve system publishes information on family net worth in the survey of consumers fiances. In2012the mean net worth of the families in the united state wasrole="math" localid="1650792936700" \(498.8thousand and the median net worth wasrole="math" localid="1650792957167" \)77.3thousand. Which measure of center do you think is more appropriate? Justify your answer.

Find the

a. Mean b. median c. models

For the mean and the median, round each answer to one more decimal place than that used for the observations.

Hurricanes. An article by D. Schaefer et al. reported on a long-term study of the effects of hurricanes on tropical streams of the Luquillo Experinental Forest in Puerto Rico. The study shows that Hurricane Hugo had a significant impact on stream water chemistry. The following table shows a sample of 10ammonia fluxes in the first year after Hugo. Data are in kilograms per hectare per year.

96,116,66,57,147,54,147,88,175,154

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is1,2,4,4.

Treating Psychotic Illness. L. Petersen et al evaluated the effects of integrated treatment for patients with a first episode of psychotic illness in the paper "A Randomized Multicenter Trial of Integrated Versus Standard Treatment for Patients with a First Episode of Psychotic Illness" (British medical journal, vol. 331.(7517):602). Part of the study included a questionnaire that was designed to measure client satisfaction with both the integrated treatment and standard treatment. The data on the Weiss Stats site is based on the results of the client questionnaire.

(a) Use the technology of your choice to obtain boxplots for the data sets, using the same scale.

(b) Compare the data sets by using your results from part(a) paying special attention to center and variation

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5,6,1,2,3,4,5,6
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

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.