Concept explainers
(a)
To find: the range of the heights of the buildings.
(a)
Answer to Problem 12E
The range is
Explanation of Solution
Given:
Height of the tallest building in united states are:
Concept used:
Calculation:
According to the given in Ascending order is:
To calculate the range of a set of data, subtract the lowest value from highest value.
Hence, the range is
(b)
To find: the appropriate class intervals of height of the buildings.
(b)
Answer to Problem 12E
Class interval is
Explanation of Solution
Given:
Height of the tallest building in united states are:
Concept used:
Calculation:
According to the given in Ascending order is:
Class interval can be found by:
There are
Hence, class interval is
(c)
To construct: the frequency distribution table for the given heights of the building.
(c)
Answer to Problem 12E
From the frequency distribution tables the frequency can be calculated and total frequency is
Explanation of Solution
Given:
Height of the tallest building in united states are:
Concept used:
The frequency distribution table consist of frequency and tally marks which can easily measure the range class limits class size by looking at their respective blocks.
Calculation:
According to the given in Ascending order is:
The frequencies distribution table:
Height in feet | Frequency
Tally marks | frequency |
| |||| |
|
| ||| |
|
| |||| |
|
| || |
|
| | |
|
| |||| |
|
Total |
|
Hence, from the frequency distribution table the frequency can be calculated and total frequency is
(d)
To Graph: the frequency
(d)
Answer to Problem 12E
From the frequency polygon its more cleared that mention the maximum and minimum frequency through which range can be solved.
Explanation of Solution
Given:
Height of the tallest building in united states are:
Concept used:
The frequency polygons are graphical device for understanding the shapes of distributions.
The graphing device as same as histogram but specially, helpful for comparing sets of data.
Frequency polygons are also good for displaying cumulative frequency distribution.
Calculation:
According to the given in Ascending order is:
The frequency polygon of the data is:
Hence, from the frequency polygon its more cleared that mention the maximum and minimum frequency through which range can be solved.
(e)
To find: interval which represent the greatest number of the buildings.
(e)
Answer to Problem 12E
The intervals are
Explanation of Solution
Given:
Height of the tallest building in united states are:
Concept used:
The interval which has maximum of number of building can be known through highest frequency on the interval.
More is the frequency here means more is the number of buildings.
Calculation:
According to the given in Ascending order is:
The intervals
These intervals have the most building heights in them.
Hence, the intervals are
Chapter 14 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
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