For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, and cut point grouping. For each type of data given, decide which of these three grouping types is usually best, Explain your answers.

a. Continuous data displayed to one or more decimal places

b. Discrete data in which there are relatively few distinct observations

Short Answer

Expert verified

(a) The best grouping method for the given data is Cut-point grouping.

(b) The best grouping method for the given data is Single value grouping.

Step by step solution

01

Part (a) Step 1: Given information

Continuous data displayed to one or more decimal places

02

Part (a) Step 2: Explanation

Take a look at the information provided.

Continuous data with one or more decimal places presented.

When the data is continuous and given in decimals, the cut-point method is used. Cut-point grouping is the optimum grouping strategy for the supplied data.

03

Part (b) Step 1: Given information

The best grouping method for the given data is Single value grouping.

04

Part (b) Step 2: Explanation

Take a look at the information provided.

Discrete data consists of a small number of distinct observations.

For discrete data with a small number of distinct values, the single value grouping method is useful.

As a result, single value grouping is the optimal grouping strategy for the supplied data.

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

For a qualitative data set, what is a

a. frequency distribution?

b. relative-frequency distribution?

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than \(50,000.

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between\)10,000and \(19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than \)30,000?

c. The IRS reported that \(89,928,000individual income tax returns had an adjusted gross income of less than \)50,000. Approximately how many had an adjusted gross income between \(30,000and \)49,999, inclusive?

Baltimore Ravens. From Player Roster, the official roster of the 2013 Super Bowl champion Baltimore Ravens, we obtained the heights, in inches, of the players on that team. A dot plot of those heights is as follows.

Detroit Tigers. From the Baseball Almanac website, we found the heights, in inches, of the players on the 2012 World Series runner-up Detroit Tigers baseball team.

Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. Construct a stem-and-leaf diagram of these data with five lines per stem.

b. Why is it better to use five lines per stem here instead of one or two lines per stem?

Stays in Europe and the Mediterranean. The Bureau of Economic Analysis gathers information on the length of stay in Europe and the Mediterranean by U.S. travelers. Data are published in the Survey of Current Bussiness. The following stem-and-leaf diagram portrays the length of stay, in days, of a sample of 36 U.S. residents who traveled to Europe and the Mediterranean last year.

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