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Chapter 2: Q2 (page 48)

McDonald’s dinner service times refers to the accompanying frequency distribution. What problem would be created by using classes of 60-120, 120-180, . . ., 300-360?

Short Answer

Expert verified

While using the classes 60-120, 120-180, …. 300-360, there is repetition of service time in class intervals. The upper limit of each class is also included in the next class.

Step by step solution

01

Given information

Refer to frequency distribution of McDonald’s dinner service times.

Service time intervals

Frequency

60-119

7

120-179

22

180-239

14

240-299

2

300-359

5

The given class intervals are 60-119, 120-179, ... ,300-359.

The created class intervals are 60-120,120-180,…,300-360.

02

Define frequency distribution

A frequency distribution is a tabular summarization of counts of subjects in different categories, formed by using the sample data.

Frequency hence represents the count of data.

03

Identify the problem in the created class interval

In case of the given frequency distribution, the classes are non-overlapping which means none of the values lie in two different classes.

On the other hand, the class intervals 60-120,120-180, … ,300-360 do not have unique values, and thus determining the frequency under each interval is not possible. For example, 120 belongs to two classes; 60-120 and 120-180. And, this applies for each subsequent classes.

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Most popular questions from this chapter

Scatterplot What is a scatterplot and how does it help us?

In Exercises 1–6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Data Type

a. The listed playing times are all rounded to the nearest whole number. Before rounding, are the exact playing times discrete data or continuous data?

b. For the listed times, are the data categorical or quantitative?

c. Identify the level of measurement of the listed times: nominal, ordinal, interval, or ratio.

d. Which of the following best describes the sample data: voluntary response sample, random sample, convenience sample, simple sample?

e. The listed total game times are from one recent year, and the data are available for all years back to 1950. Given that the listed times are part of a larger collection of times, do the data constitute a sample or a population?

McDonald’s dinner service times refer to the accompanying table summarizing service times (seconds) of McDonald’s dinners. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?

Table for Exercise 1

McDonald’s Dinner Service Times

Times (sec)

Frequency

60-119

7

120-179

22

180-239

14

240-299

2

300-359

5

Constructing Frequency Distributions. In Exercises 11–18, use the indicated data to construct the frequency distribution. (The data for Exercises 13–16 can be downloaded at TriolaStats.com.)

Analysis of Last Digits Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What do you know about the accuracy of the results?

0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9

In Exercises 1–6, refer to the data below, which are total home game playing times (hours) for all Major League Baseball teams in a recent year (based on data from Baseball Prospectus).

236 237 238 239 241 241 242 245 245 245 246 247 247 248 248 249 250 250 250 251 252 252 253 253 258 258 258 260 262 264

Frequency Distribution Construct a frequency distribution. Use a class width of 5 hours and use a starting time of 235 hours.
See all solutions

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