the data set represents the total number of tuba players in each of 11 different school bands…
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
Answer
Answer:
1
Explanation:
Step1: Arrange data in order
0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8
Step2: Find position of lower - quartile
The formula for the position of the lower - quartile ($Q_1$) for a data set of size $n$ is $L_{Q_1}=\frac{n + 1}{4}$. Here $n = 11$, so $L_{Q_1}=\frac{11+ 1}{4}=3$.
Step3: Determine lower - quartile value
The value at the 3rd position in the ordered data set is 1.