Question

common core algebra i b-cr
pre-test complete
1
the data set represents the total number of tuba players in each of 11 different school bands.
0, 1, 3, 3, 4, 4, 4, 4, 5, 6, 6, 8
what is the lower quartile of the data?
○ 1
○ 3
○ 4
○ 6

Explanation:

Step1: Confirm sorted data

The data is already sorted: $0, 1, 3, 3, 4, 4, 4, 5, 6, 6, 8$

Step2: Find median (Q2)

For $n=11$ data points, median is the 6th value: $4$

Step3: Split lower half

Lower half: $0, 1, 3, 3, 4$ (values below median)

Step4: Calculate lower quartile (Q1)

Lower quartile is median of lower half (3rd value): $3$

Answer:

3 (Option B)