Question

1 Two samples are given. Find each​ sample's ​a) standard deviation and ​b) coefficient of variation....

1 Two samples are given. Find each​ sample's ​a) standard deviation and ​b) coefficient of variation. Then decide ​c) which sample has the higher​ dispersion, and ​d) which sample has the higher relative dispersion.A:3,9,9,7,4 B:8,3,4,7,3,10,5

2 Gabriel and Lucia took a road trip across the country. The room​ costs, in​ dollars, for their overnight stays are listed in the accompanying table. Find the mean of the distribution.

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The mean of the distribution is

​$

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Answer #1

1)

from above

a)

sample standard deviation of A =2.793

sample standard deviation of B =2.690

b)

coefficient of variation of A =(s/xbar)*100 =(2.793/6.40)*100 =43.6%

coefficient of variation of B =(s/xbar)*100 =(2.690/5.71)*100 =47.1%

c)

A has the higher​ dispersion (since it has higher standard deviation)

d)

B has the higher relative ​ dispersion (since it has higher coefficient of variation)

(for question 2 data is not there)

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