The problem asks to find the first quartile (Q1) of the dataset: 7, 8, 7, 9, 11, 8, 7, 9, 6, and 8.

1. Problem Description

The problem asks to find the first quartile (Q1) of the dataset: 7, 8, 7, 9, 11, 8, 7, 9, 6, and

8.

2. Solution Steps

First, we need to arrange the data in ascending order:

6, 7, 7, 7, 8, 8, 8, 9, 9, 11

The number of data points $n = 10$.

The first quartile (Q1) is the median of the lower half of the data.

Since $n=10$, the median of the entire dataset is the average of the 5th and 6th values, which is $\frac{8+8}{2} = 8$.

The lower half of the data is: 6, 7, 7, 7,

8. The number of data points in the lower half is

5. The median of the lower half is the middle value, which is the $\frac{5+1}{2} = 3$rd value.

Therefore, Q1 is the 3rd value in the sorted lower half, which is

7.

3. Final Answer

B. 7.0