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The lifespans (in years) of ten beagles were 13; 13; 8; 8; 9; 10; 8; 12;...

The lifespans (in years) of ten beagles were 13; 13; 8; 8; 9; 10; 8; 12; 10; 8. Calculate the coefficient of variation of the dataset.

Math   Statistics-And-Probability   
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Answer #1

Solution:

x x2
13 169
13 169
8 64
8 64
9 81
10 100
8 64
12 144
10 100
8 64
x=99 x2=1019

Mean     = (x / n) )

=13+13+8+8+9+10+8+12+10+8 / 10

=99 / 10

=9.9

Sample Standard deviation S=x2-(x)2n / n-1

=1019-(99)210 /9

=1019-980.19

=38.99

=4.3222

=2.079

Co-efficient of Variation (Sample) = S / ⋅100%

= ( 2.079 /9.9)⋅100%

=21%

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