Question

ebra i b-cr
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 median position

For $n=10$ (even count), median = average of $\frac{n}{2}$ and $\frac{n}{2}+1$ values:
$\text{Position 1} = \frac{10}{2}=5$, $\text{Position 2} = 5+1=6$

Step3: Get values and calculate average

5th value = $1$, 6th value = $2$
Median = $\frac{1+2}{2}$

Answer:

1.5