Question

the data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
what is the median of the data?
○ 1
○ 1.5
○ 2
○ 2.5

Explanation:

Step1: Confirm sorted data set

The data is already sorted: $0, 0, 1, 1, 1, 2, 2, 2, 4, 4$

Step2: Find middle positions

For $n=10$ (even count), middle positions are $\frac{n}{2}=5$ and $\frac{n}{2}+1=6$ (1-indexed).
Values: 5th = $1$, 6th = $2$

Step3: Calculate median average

Median = $\frac{1+2}{2}$

Answer:

1.5