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 $3^{rd}$ value in the ordered data set is $3$.

Answer:

$3$