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: Arrange data in order

The data set is already in ascending - order: 0, 0, 1, 1, 1, 2, 2, 2, 4, 4.

Step2: Determine the number of data points

There are $n = 10$ data points.

Step3: Use the median formula for even - numbered data sets

For an even - numbered data set, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. Here, $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is 1 and the 6th value is 2.
Median=$\frac{1 + 2}{2}=1.5$

Answer:

1.5