In Exercises 21-28,determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Baseball statistician Bill James records the years in which the baseball World Series is won by a team from the National League.

Short Answer

Expert verified

The series of years in which a team wins a title is measured under the interval scale.

Step by step solution

01

Given information

A statistician has recorded the series of years in which a team has won the title in baseball.

02

Classification of data according to the level of measurement

The scale of measurement determines the appropriate categorization and usage of data values as per the need for good statistical analysis.

Nominal:When unordered data is present in the form of descriptive labels for a particular category, a nominal scale is used. For example, modes of payment can be categorized as (1) for cash, (2) for debit card, and (3) for credit card payment.

Ordinal: When ordered data is present in the form of descriptive labels, an ordinal scale is used. The exact variation between any two values is not measurable. For example, the rankings of dishes served at a restaurant.

Interval: An interval scale is used when data is quantitative (countable or measurable), and differences are valid. The existence of a zero value has no significance. For example, air quality is measured in the range of 0 to 500. A zero level does not indicate a zero pollutant level.

Ratio: Quantitative data has a well-defined zero value and can be partitioned. For example, a person's weight (in kilograms) can be halved, and zero kilogram stands for no weight.

03

Identification of the appropriate scale

A true zero value for a series of years has no significance, and cannot be halved/doubled. Thus, the most appropriate level of measurement will be the interval level of measurement.

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

Identify whether the given value is a statistic or a parameter.

In a study of American Airlines flights from JFK in New York to LAX in Los Angeles, 48 flights are randomly selected and the average (mean) arrival time is 8.9 minutes late.

In Exercises 9–12, determine whether the sampling method appears to be sound or is flawed.

Smartphone Usage In a survey of smartphone ownership, the Pew Research Center randomly selected 1006 adults in the United States.

Quantitative/categorical DataIdentify each of the following as quantitative data or categorical data.

a. The platelet counts in Data Set 1 “Body Data” in Appendix B.

b. The cigarette brands in Data Set 13 “Cigarette Contents” in Appendix B.

c. The colours of the M&M candies in Data Set 27 “M&M Weights” in Appendix B.

d. The weights of the M&M candies in Data Set 27 “M&M Weights” in Appendix B.

Determine whether the data are from discrete data or continuous data set.

House AttendanceThe Clerk of the U.S. House of Representatives records the number of representatives present at each session.

In Exercises 21–24, refer to the data in the table below. The entries are white blood cell counts (1000 cells,ML) and red blood cell counts (million cells,ML) from male subjects examined as part of a large health study conducted by the National Center for Health Statistics. The data are matched, so that the first subject has a white blood cell count of 8.7 and a red blood cell count of 4.91, and so on.

Context Given that the data are matched and considering the units of the data, does it make sense to use the difference between each white blood cell count and the corresponding red blood cell count? Why or why not?

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