Identify the first quartile in the following dataset: 5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6(1 point) Responses 0 0 6.5 6.5 4 4 2.5

1 answer

The first quartile is the median of the lower half of the dataset.

First, arrange the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12

Since there are 16 numbers in the dataset, the first quartile would be the median of the numbers below the median (8 numbers). The median of the lower half (8 numbers) would be between the 4th and 5th numbers, which are both 3.

Therefore, the first quartile is 3.