Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q. 2.68 (page 68)

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 cutpoint grouping with a first class 10-under 15.

Short Answer

Expert verified

Part a. The frequency distribution is given as

ClassTallyFrequency
10-under 15||||4
15-under 20|||||5
20-under 25|||||||7
25-under 30|||3
30-under 35-0
35-under 40|1

Part b. The relative frequency distribution is given as

ClassFrequencyRelative Frequency
10-under 154420=0.2
15-under 205520=0.25
20-under 257720=0.35
25-under 303320=0.15
30-under 3500
35-under 401120=0.05
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 

Using the cutpoint grouping with a first class 10-under 15 the frequency distribution is given as

ClassTallyFrequency
10-under 15||||4
15-under 20|||||5
20-under 25|||||||7
25-under 30|||3
30-under 35-0
35-under 40|1
03

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

ClassFrequencyRelative Frequency
10-under 154420=0.2
15-under 205520=0.25
20-under 257720=0.35
25-under 303320=0.15
30-under 3500
35-under 401120=0.05
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.

Start your free trial

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 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.

Construct a stem-and-leaf diagram for the data, using five lines per stem.

Weights of 18- to 24-Year-Old Males. Refer to the weight data in Table 2.8on page 54 . Note that there are 37 observations, the smallest and largest of which are 129.2and278.8, respectively. Apply the preceding procedure to choose classes for cut point grouping. Use approximately eight classes. Note: If in Step 2 you decide on 20 for the class width and in Step 3 you choose 120 for the lower cut point of the first class, then you will get the same classes as used in Example 2.14; otherwise, you will get different classes (which is fine).

Clocking the Cheetah. Construct a relative-frequency polygon for the speed data given in Exercise 2.89. Use the classes specified in that exercise.

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.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation
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