Answer:5
Step-by-step explanation:To find the first quartile (Q1) for a given dataset, you need to arrange the data in ascending order and determine the value that separates the lowest 25% of the data.
Arranging the dataset in ascending order:
2, 3, 5, 5, 6, 8, 8, 9, 10, 11, 11, 11, 12
To calculate Q1, you can use the formula:
Q1 = (n + 1) / 4
where n is the total number of data points.
In this case, n = 13, so:
Q1 = (13 + 1) / 4 = 14 / 4 = 3.5
Since Q1 is not exactly a data point in this dataset, we need to find the value that falls between the third and fourth data points. In this case, the third and fourth data points are both 5.
Therefore, the Q1 for this dataset is 5.