Question

the data set represents the total number of tuba players in each of 11 different school bands. 0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8. what is the lower quartile of the data? 1 3 4 6

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: 0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8.

Step2: Calculate position of lower - quartile

The formula to find the position of the lower - quartile ($Q_1$) for a data set of size $n$ is $L=\frac{n + 1}{4}$. Here, $n = 11$, so $L=\frac{11+1}{4}=\frac{12}{4}=3$.

Step3: Find the lower - quartile

The value at the 3rd position in the ordered data set is 3.

Answer:

B. 3