Question

Which set of data shows the least variability?


A. 65, 66, 67, 68, 69
B. 60, 60, 60, 60, 80
C. 50, 60, 70, 80, 90
D. 55, 55, 75, 95, 95
which data set has the smallest variation

Answer 1

In general, wider ranges indicate more variable data.

Regarding data set A, notice that the length of the box is equal to 81-53=28, while the length of the box of data set B is 91-78=13.

Therefore, as for box size, data set B is less variable than A.

On the other hand, comparing the whisker length,

$\begin{gathered} A:90-46=44 \\ B:95-62=33 \end{gathered}$

Therefore, in general, data set B has the smallest variation.