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: Count the number of data points

There are \(n = 10\) data points.

Step2: Determine the position of the median

For \(n\) even, median is the average of \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th terms. \(\frac{n}{2}=\frac{10}{2} = 5\), \(\frac{n}{2}+1=6\)

Step3: Find the 5th and 6th terms

The ordered data set: \(0,0,1,1,1,2,2,2,4,4\). 5th term is \(1\), 6th term is \(2\)

Step4: Calculate the median

Median \(=\frac{1 + 2}{2}=1.5\)

Answer:

1.5