1 pt Data set A Data set B Data set C Above are three differ

(1 pt)
Data set A:

Data set B:

Data set C:

Above are three different data sets. Without calculating anything, decide which set A, B, or C has the larger standard deviation. Just enter the letter of the data set as your answer.

Solution

The standard devaiation decreases with the increase in population size and also decrease with the more compact range of values

The first option is overruled since all the sets A, B and C contains 6 elements, hence we need to decide using the second factor

In the Data Set A, the Range = (82-73) = 9 = Difference of highest element - lowest element

In the Data Set B, the Range = (32-18) = 14 = Difference of highest element - lowest element

In the Data Set C, the Range = (9-5) = 4 = Difference of highest element - lowest element

Hence the correct answer is Data Set C