Question

1.9

2.4

5.7

5.2

1.9

8.8

3.9

7.4

(b) Find the sample standard deviation, coefficient of variation, and range. (Round your answers to two decimal places.)

***I need help finding the Coefficient of Variation only***

Thanks!

Answer 1

Solution:

x	x2
1.9	3.61
2.4	5.76
5.7	32.49
5.2	27.04
1.9	3.61
8.8	77.44
3.9	15.21
7.4	54.76
∑x=37.2	∑x2=219.92

The sample mean is

Mean   = (x / n) )

=1.9+2.4+5.7+5.2+1.9+8.8+3.9+7.4 /8

=37.2 /8

=4.65

The sample standard is S

  S =( x² ) - (( x)² / n ) n -1

=(219.92-(37.2)²8 )7

=(219.92-172.9 / 8 )7

=46.94 / 7

=6.7057

=2.5895

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

=(2.5895/ 4.65 )*100%

=55.69%

Co-efficient of Variation (Sample) =55.69%