Question

Question 2 -

Answer 1

Coefficient of variation, CV. for Data set A is $13.5$% and for Data set B is $19.6$%

Sample A: $2.94, 3.06, 3.07, 3.16, 3.34, 3.43, 3.47, 3.56, 3.57, 3.97, 3.99, 4.24, 4.30, 4.35$

Mean $= 3.6036$, Standard deviation $= 0.4858$.

C.V $= \frac{S.D}{Mean}$

$=\frac{0.4858}{3.6036}$

$=0.1348$

$=0.1$

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

Mean $= 25527.2727$, Standard deviation $= 5001.218$.

C.V $= \frac{S.D}{Mean}$

$=\frac{5001.218}{25527.2727}$

$=0.1959$

$=0.2$

In terms of percentage, C.V for sample A is $13.5$% and for sample B is $19.6$%

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