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.

a. use the technology of your choice to identify the modality and symmetry (or non-symmetry) of the distribution of the data set.

b. if unimodal, classify the distribution as symmetric right-skewed. or left-skewed.

Short Answer

Expert verified

a) The distribution is unimodal and non-symmetric.

b) The distribution is right-skewed.

Step by step solution

01

Part (a) Step 1: Given Information

To find the modality and symmetry of the distribution.

02

Part (a) Step 2: Explanation 

The frequency distribution is :

The frequency histogram will have the bars of height equal to frequency.

Unimodal: A single distinct peak or most frequent value characterises a unimodal distribution.

Because there is just one peak in the distribution, it is unimodal.

Because the apex of the distribution is not in the center of the graph, the distribution is generally non-symmetric.

03

Part (b) Step 1: Given Information

To determine the shape of the distribution is right-skewed or left-skewed.

04

Part (b) Step 2: Explanation 

It should be obvious that symmetrical indicates that both sides of anything are identical; asymmetrical means that two faces are different in some way. Asymmetrical items are irregular and crooked, and when folded in half, they do not match up exactly.

The tail of a "skewed right" distribution is on the right side.

The left side of a "skewed left" distribution has the tail.

Here, the graph's peak is to the left of the histogram, the distribution is right-skewed.

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 Vaia!

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

Acute Postoperative Days. Several neurosurgeons wanted to determine whether a dynamic system (Z-plate) reduced the number of acute postoperative days in the hospital relative to a static system (ALPS plate). R. Jacobowitz, Ph.D., an Arizona State University professor, along with G. Vishteh, M.D., and other neurosurgeons obtained the following data on the number of acute postoperative days in the hospital using the dynamic and static systems.

Cholesterol Levels. According to the National Health and Nutrition Examination Survey, published by the Centers for Disease Control and Prevention, the average cholesterol level for children between 4 and 19 years of age is 165mg /dl. A pediatrician who tested the cholesterol levels of several young patients was alarmed to find that many had levels higher than 200mg / dL. The following relative frequency histogram shows the readings for some patients who had high cholesterol levels.

Do the concepts of class limits, marks, cutpoints, and midpoints make sense for qualitative data? Explain your answer.

The Fulbright Program. The U.S. government's flagship international educational exchange program, the Fulbright program, is sponsored by the Bureau of Educational and Cultural Affairs. Fulbrights are awarded based on "academic and leadership potential. providing the opportunity to exchange ideas and contribute to finding solutions to shared international concerns." For 2012-2013, the top 10 doctoral/research institutions receiving Fulbright awards are as shown in the following table. The success rate gives the number of grants per application, expressed as a percentage. Identify the type of data provided by the information in each column of the table.

Age of Passenger Cars. According to R. L. Polk & Co., the average age of passenger cars in the United States was 9.1years in 2000. A sample of passenger cars taken this year provided the ages, in years, displayed in the following table. Construct a dotplot for the ages.

See all solutions

Recommended explanations on Math Textbooks

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.

Sign-up for free