Question 2 -
of 3 Step 1 of 2
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Consider the following sets of sample data:
A: 3.97.3.47.3.99, 4.30, 3.16, 3.07,4.24,2.94,3.56,3.43, 3.06, 3.34,4.35, 3.57
B: $24,800, $30,000, $22,300, $20,400, $19,000, $32,200, $23,000, $23,000, $24,000, $27,200, $34,900
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Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
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CV for Data Set A:
%
CV for Data Set B:
%

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kobenhavn kobenhavn · Answer 1 · 2021-10-02T05:45:12+02:00

Coefficient of variation, CV. for Data set A is [tex]13.5[/tex]% and for Data set B is [tex]19.6[/tex]%

Sample A: [tex]2.94, 3.06, 3.07, 3.16, 3.34, 3.43, 3.47, 3.56, 3.57, 3.97, 3.99, 4.24, 4.30, 4.35[/tex]

Mean [tex]= 3.6036[/tex], Standard deviation [tex]= 0.4858[/tex].

C.V [tex]= \frac{S.D}{Mean}[/tex]

[tex]=\frac{0.4858}{3.6036}[/tex]

[tex]=0.1348[/tex]

[tex]=0.1[/tex]

Sample B: [tex]$24,800, $30,000, $22,300, $20,400, $19,000, $32,200, $23,000, $23,000, $24,000, $27,200, $34,900[/tex]

Mean [tex]= 25527.2727[/tex], Standard deviation [tex]= 5001.218[/tex].

C.V [tex]= \frac{S.D}{Mean}[/tex]

[tex]=\frac{5001.218}{25527.2727}[/tex]

[tex]=0.1959[/tex]

[tex]=0.2[/tex]

In terms of percentage, C.V for sample A is [tex]13.5[/tex]% and for sample B is [tex]19.6[/tex]%

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