The data below represent the ages of people working at a store.
18, 26, 19, 25, 19, 23, 31, 22, 19, 18, 20
What is the first quartile of these ages?
19?
To find the first quartile of a set of data, you need to arrange the data in ascending order and then locate the median of the lower half of the data. Here's how to do it:
1. Arrange the ages in ascending order: 18, 18, 19, 19, 19, 20, 22, 23, 25, 26, 31.
2. Find the median of the lower half of the data. Since there are 11 data points, the median of the lower half will be the value at the (11 + 1)/2 = 6th position.
The 6th value in the ordered data set is 20.
So, the first quartile of the given ages is 20.