Question

The mass, in kilograms, of 9 dogs are:

12, 14, 16, 22, 39, 40, 25, 271
Find the first second, and third quartiles.

A. First quartile.
B. Second quartile.
C. Third quartile.

Answer 1

The first quartile (Q1) is 15, the second quartile (Q2) is 25, and the third quartile (Q3) is 40.

Step-by-step explanation:

To find the first, second, and third quartiles, it is important to first arrange the data in ascending order:

12, 14, 16, 22, 25, 39, 40, 271

The first quartile (Q1) is the median of the lower half of the data. Since there are 8 values in total, the lower half consists of the first four values. Therefore, Q1 is the median of 12, 14, 16, and 22, which is 15.

The second quartile (Q2) is the median of the entire data set. The median of the arranged data is 25.

The third quartile (Q3) is the median of the upper half of the data. Q3 is the median of 39, 40, and 271, which is 40.