the data set represents the total number of tuba players in each of 11 different school bands. 0, 1, 3, 3…
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:
3
Explanation:
Step1: Arrange data in order
0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8
Step2: Calculate position of lower - quartile
The formula for 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 value of lower - quartile
Since the position $L = 3$ is an integer, the lower - quartile is the 3rd value in the ordered data set. The 3rd value is 3.