Question

the data set represents the total number of tuba players in each of 11 different school bands. 0, 1, 2, 3, 4, 4, 4, 4, 5, 6, 6, 8. what is the lower quartile of the data? 1 3 4 6

Explanation:

Step1: Arrange data in ascending order

The data set is \(0,1,2,3,4,4,4,5,6,6,8\) and it is already in ascending - order.

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: Determine the lower - quartile value

Since \(L = 3\) is an integer, the lower - quartile is the 3rd value in the ordered data set. The 3rd value is \(2\).

Answer:

2