Question

Question

Given the following dataset, what is the first quartile? Round to the nearest tenth if necessary.
42, 82, 67, 34, 54, 62, 17, 47, 56, 18, 20

Answer 1

To find the first quartile, we first need to find the median of the dataset.

Arranging the dataset in ascending order: 17, 18, 20, 34, 42, 47, 54, 56, 62, 67, 82

Since there are 11 numbers in the dataset, the median is the average of the 6th and 7th numbers, which are 47 and 54.
Median = (47 + 54) / 2 = 50.5

The first quartile is the median of the numbers below the overall median, which are 17, 18, 20, 34, 42, and 47.
First quartile = median of 17, 18, 20, 34, 42, 47 = (20 + 34) / 2 = 27

Therefore, the first quartile of the dataset is 27.