what is the measure of quartile 1 for this data? a. 24 b. 27 c. 28 24, 27, 28, 30, 31, 25, 21, 33, 28, 20, 27
what is the measure of quartile 1 for this data? a. 24 b. 27 c. 28 24, 27, 28, 30, 31, 25, 21, 33, 28, 20, 27
Answer
Explanation:
Step1: Arrange data in ascending order
20, 21, 24, 25, 27, 27, 28, 28, 30, 31, 33
Step2: Calculate position of Q1
The formula for the position of the first - quartile ($Q_1$) for a data set of size $n$ is $i=\frac{n + 1}{4}$. Here, $n = 11$, so $i=\frac{11+1}{4}=3$.
Step3: Find Q1 value
Since $i = 3$ is an integer, the first - quartile $Q_1$ is the 3rd value in the ordered data set. So $Q_1=24$.
Answer:
A. 24