   Chapter 8, Problem 14T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# The table gives the projected 2020 population of theUnited States.(a) Use the class marks and the given number (frequency) in each class to find the mean age.(b) In third world countries where the birth rate is higher and the life span is shorter, which group—under 30, 30-59, or 60 and over—would be most likely to be the smallest? How would this affect a third world country’s mean age relative to that of the United States? Age Class Mark Number (millions) Under 15 7 68.1 15-29 22 67.3 30-44 37 66.8 45-59 52 63.3 60-74 67 53.3 Over 75 82 22.5 Source: U.S. Bureau of the Census

(a)

To determine

To calculate: The mean age projected population of people of U.S in 2020.

AgeClass MarkNumber(Millions)Under 15768.115292267.330443766.845595263.360746753.3Over 758222.5

Explanation

Given Information:

The projected population of people of U.S in 2020.

AgeClass MarkNumber(Millions)Under 15768.115292267.330443766.845595263.360746753.3Over 758222.5

Formula used:

The value of mean is:

x¯=(xf(x))f(x)

The value of standard deviation is:

s2=(xx¯)2f(x)n1

Calculation:

Consider the table for the projected population:

AgeClass MarkNumber(Millions)Under 15768

(b)

To determine

To calculate: The age group that have smallest life span, under 30, 30-59 or 60 and over, when the projected birth rate is tabulated below.

AgeClass MarkNumber(Millions)Under 15768.115292267.330443766.845595263.360746753.3Over 758222.5

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