Consider the following data: 0, 2, 4, 6, 11, 12, 13. The first (Q1) and third (Q3) quartiles are
A) 0 and 6.
B) 2 and 11.
C) 2 and 12.
D) 0 and 12.
E) 6 and 12.

Question

Quizplus · Accepted Answer

To find Q1 and Q3, we need to first find the median (Q2) of the given data set.

Arranging the data in ascending order:
0, 2, 4, 6, 11, 12, 13

The median (Q2) is the middle value of the data set, which is 6 in this case.

To find Q1, we need to find the median of the lower half of the data set. The lower half of the data set is: 
0, 2, 4, 6

The median of this lower half is (2+4)/2 = 3.

So Q1 = 3.

To find Q3, we need to find the median of the upper half of the data set. The upper half of the data set is: 
6, 11, 12, 13

The median of this upper half is (11+12)/2 = 11.5.

So Q3 = 11.5.

Therefore, the best choice is C: 2 and 12.

Consider the Following Data: 0, 2, 4, 6, 11, 12