In Exercises 2.60-2.71. we have presented some quantitative data sets and specified a grouping method for practicing the concepts. For each data set,

a. determine a frequency distribution

b. obtain a relative-frequency distribution.

c. construct a frequency histogram based on your result from part (a).

d. construct a relative-frequency histogram based on your result

from part (b).

Use single-value grouping.

Short Answer

Expert verified

Part a. The frequency distribution is given as

NumberTallyFrequency
0|1
1|1
2||||4
3||||||||8
4||||||6

Part b. The relative frequency distribution is given as

NumberFrequencyRelative Frequency
01120=0.05
11120=0.05
24420=0.2
38820=0.4
46role="math" localid="1652894733960" 620=0.3
Total201

Part c. The frequency histogram is given as

Part d. The relative frequency histogram is given as

Step by step solution

01

Part (a) Step 1. Given Information 

We are given a quantitative data set.

02

Part (a) Step 2. Frequency Distribution

The data consists of five numbers 0,1,2,3,4. So using single value grouping its frequency distribution is given as

NumberTallyFrequency
0|1
1|1
2||||4
3||||||||8
4||||||6
03

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

NumberFrequencyRelative Frequency
01120=0.05
11120=0.05
24420=0.2
38role="math" localid="1652894452878" 820=0.4
46620=0.3
Total201
04

Part (c) Step 1. Frequency histogram

The frequency histogram for the frequency distribution can be given as

05

Part (d) Step 1. Relative frequency histogram

The relative-frequency histogram for the relative-frequency distribution can be given as

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

The Great White Shark. In an article titled "Great White, Deep Trouble" (National Geographic, Vol. 197(4). pp. 2-29). Peter Benchley - the author of JAWS - discussed various aspects of the Great White Shark (Carcharodon Carcharias). Data on the number of pups borne in a lifetime by each of 80 Great White Shark females are given 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.

Ages of Householders. The ages of householders, given as a whole number

In this case, decide which type of grouping (single-value, limit, or cutpoint) is probably the best.

University Patents. The number of patents a university receives is an indicator of the research level of the university. From a study titled Science and Engineering Indicators issued by the National Science Foundation, we found the number of U.S. patents awarded to a sample of 36private and public universities to be as follows.

Construct a stem-and-leaf diagram for these data with

a. one line per stem.

b. two lines per stem.

c. Which stem-and-leaf diagram do you find more useful? Why?

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.

We have drawn a smooth curve that represents a distribution,

a. Identify the shape of the distirbution with regard to modality.

b. Identify the shape of the distribution with regard to symmetry (or non symmetry)

c . If the distribution is unimodal and non symmetric, classify it as either right skewed or left skewed.

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