Question

Use the coefficient of variation to determine

which data set varies the most.
on
Data Set 1: 2 = 12 and s = = 7
Data Set 2: 2
0.12 and s
= 0.3.
Data Set 1 CV ~
% (Round to the
nearest percent)
Data Set 2 CV =
%

Answer 1

Dataset 2

Explanation:

The Coefficient of variation is the ratio of the standard deviation and the population mean.

Data Set 1: 2 = 12 and s = = 7

Data Set 2: 2

0.12 and s

= 0.3.

Coefficient of variation = (standard deviation / mean) * 100%

Dataset 1:

Standard deviation = 7 ; mean = 12

Coefficient of variation = (7 / 12 ) * 100% = 0.5833 = 58%

Dataset 2:

Standard deviation = 0.3 ; mean = 0.12

Coefficient of variation = (0.3 / 0.12) * 100% = 2.5 * 100% = 250

Hence dataset 2 varies the most with a greater value of variation Coefficient.