To identify the first quartile (Q1) in the given dataset, we first need to organize the data in ascending order. The dataset you provided is:
5, 7, 9, 4, 3, 2, 1, 0, 11, 12, 6, 3, 4, 3, 2, 6
Arranging it in ascending order, we have:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
Next, to find the first quartile (Q1), we can use the formula:
\[ Q1 = \frac{(n + 1)}{4} \]
where \( n \) is the number of data points. In this case, there are 16 data points.
Calculating \( \frac{(16 + 1)}{4} = \frac{17}{4} = 4.25 \)
Since 4.25 is not a whole number, we will take the average of the 4th and 5th values in the ordered dataset to find Q1.
The 4th value is 2, and the 5th value is 3.
Calculating the average:
\[ Q1 = \frac{2 + 3}{2} = \frac{5}{2} = 2.5 \]
Therefore, the first quartile (Q1) is 2.5.