Label2008Relative Frequency (%) Cumulative FrequencyData(%)

The total frequency is, N=205+24+10+5+1+3+1+1,773=2,022 The relative frequency formula is, Relative…

Answered: Label 2008 Relative Frequency (%)…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Label
2008
Relative Frequency (%) Cumulative Frequency
Data
(%)

Expert Solution

Step 1

The total frequency is,

$\begin{array}{rcl} N & = & 205 + 24 + 10 + 5 + 1 + 3 + 1 + 1, 773 \\ = & 2, 022 \end{array}$

The relative frequency formula is,

$R e l a t i v e f r e q u e n c y = \frac{F r e q u e n c y o f g r o u p}{T o t a l f r e q u e n c y} \times 100 %$

The relative frequency for 2008 data is,

Label	2008 Data	Relative Frequency(%)
1 Business	205	$\frac{205}{2, 022} \times 100 % = 10.14 %$
2 Businesses	24	$\frac{24}{2, 022} \times 100 % = 1.19 %$
3 Businesses	10	$\frac{10}{2, 022} \times 100 % = 0.49 %$
4 Businesses	5	$\frac{5}{2, 022} \times 100 % = 0.25 %$
5 Businesses	1	$\frac{1}{2, 022} \times 100 % = 0.05 %$
6 Businesses	3	$\frac{3}{2, 022} \times 100 % = 0.15 %$
Dont know	1	$\frac{1}{2, 022} \times 100 % = 0.05 %$
Not applicable	1,773	$\frac{1, 773}{2, 022} \times 100 % = 87.68 %$

Thus, the relative frequency for 2008 data is,

Label	2008 Data	Relative Frequency(%)
1 Business	205	10.14%
2 Businesses	24	1.19%
3 Businesses	10	0.49%
4 Businesses	5	0.25%
5 Businesses	1	0.05%
6 Businesses	3	0.15%
Dont know	1	0.05%
Not applicable	1,773	87.68%

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