the data set represents the total number of tickets each person purchased for a play. 0, 0, 1, 1, 1, 2, 2…

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

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

Answer

Answer:

B. 1.5

Explanation:

Step1: Arrange data in order

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

Step2: Determine number of data points

There are $n = 10$ data - points.

Step3: Use median formula for even $n$

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