Question

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

6.5
6.5

4
4

0
0

2.5
pick one of these answers

Answer 1

To find the first quartile (Q1) of the dataset, we first need to arrange the data in ascending order:

0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12

Next, we calculate the position of the first quartile (Q1) using the formula:

\[ Q1 = \frac{(n + 1)}{4} \]

where \( n \) is the number of data points. In this case, there are 16 data points.

Calculating Q1's position:
\[ Q1 = \frac{(16 + 1)}{4} = \frac{17}{4} = 4.25 \]

This means Q1 is located at the 4.25th position. To find Q1, we need to take the average of the 4th and 5th values in the sorted dataset:

4th value = 2
5th value = 3

Calculating Q1:
\[ Q1 = \frac{2 + 3}{2} = \frac{5}{2} = 2.5 \]

Therefore, the correct answer is:

**2.5**