Identify the first quartile in the following dataset:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6
Responses
0
0 - no response given
6.5
6.5 - incorrect
2.5
2.5 - not selected, this is the correct answer
4
The correct answer is 2.5.
To identify the first quartile in the given dataset, we need to arrange the data in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
The first quartile divides the dataset into the lowest 25% of the values. Since there are 16 values in the dataset, the first quartile is the value at the 25th percentile position, which is (25/100) * 16 = 4.
So, the first quartile in this dataset is 4.