Question

here are the ages of 13 people in a coffee shop on a given day: 26, 44, 22, 28, 55, 32, 15, 39, 54, 69, 21, 18, 48 identify the first quartile by finding the middle number on the left side of the median. if there is no middle number, average the two middle numbers 15, 18, 21, 22, 26, 28, 32, 39, 44, 48, 54, 55, 69 first quartile (q1) median (q2) third quartile (q3) ?

Explanation:

Step1: Sort the data

First, we sort the data in ascending order: \(15, 18, 21, 22, 26, 28, 32, 39, 44, 48, 54, 55, 69\)

Step2: Find the median

The median (\(Q_2\)) is the 7th value. So, \(Q_2 = 32\)

Step3: Find the first quartile (\(Q_1\))

The left - hand side of the median has 6 values: \(15, 18, 21, 22, 26, 28\)
Since there are 6 values (an even number), we average the 3rd and 4th values.
\(Q_1=\frac{21 + 22}{2}\)
\(Q_1=\frac{43}{2}=21.5\)

Answer:

\(21.5\)