Use the following data set to answer this question:

Question

14, 17, 13, 15, 14, 19, 2, 18

What is the lower quartile?
*
13
13.5
14
14.5

Answer 1

To find the lower quartile in a dataset, the data must first be arranged in ascending order:

2, 13, 14, 14, 15, 17, 18, 19

The data set has 8 numbers, so to find the lower quartile, we need to find the median of the first half of the data set. Since 8 is an even number, the first half consists of the first four numbers. The median of this half is the average of the two middle numbers.

2, 13, 14, 14

The two middle numbers are 13 and 14.

(13 + 14) / 2 = 27 / 2 = 13.5

Therefore, the lower quartile is 13.5.