   Chapter 8, Problem 44RE ### 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

# Fanti families The distribution of farm families (as a percent of the population) in a 50-county survey is given in the table. Use these sample data in Problems 42-44. Percent Number of Counties 10-19 5 20-29 16 30-39 25 40-49 3 50-59 1 Use class marks to find the standard deviation of the percent of farm families in these 50 counties.

To determine

To calculate: The standard deviation of farm families in the 50 counties of sample data provided below,

PercentNumber of counties101952029163039254049350591

Explanation

Given Information:

The provided table of the farm family in the 50 counties is shown below,

PercentNumber of counties101952029163039254049350591

Formula used:

The class mark is:

Upper limit + Lower limit2

The value of mean is:

x¯=(xf(x))f(x)

The value of standard deviation is:

s2=(xx¯)2f(x)n1

Calculation:

Now the class mark for the provided table is:

PercentClass MarkFrequency101910+192=292=14.55202920+292=492=24.516303930+392=692=34.525404940+492=892=44.53505950+592=1092=54.51

Now the value of mean is;

x¯=5(14

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