Question

The standard deviations of four data sets are shown in the table below. Which of the data sets is most spread out?


Data set Standard deviation
Data set A 6.06
Data set B 4.88
Data set C 5.21
Data set D 3.39
A. Data set D
B. Data set B
C. Data set A
D. Data set C

Answer 1

When two or more data sets are under comparison
a) when the means of the data sets are the same/identical
The data set having highest Standard deviation is said to be most spread out

b) when the means of the data sets are NOT the same/identical
Calculate coefficient of variation by using the following formula
CV = SD*100 / Mean
The data set having highest CV is said to be the most spread out

If the means of the data sets are assumed to be identical, then
Data set-C is said to be the most spread out...

Answer 2

Nope it would be Data set A