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: Determine the number of data points

The data set is \(0,0,1,1,1,2,2,2,4,4\). The number of data points \(n = 10\) (an even number).

Step2: Find the two middle - values

For a data set with \(n\) (even) values, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. Here, \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 6\).
The 5th value in the ordered data set is \(1\) and the 6th value is \(2\).

Step3: Calculate the median

The median \(M=\frac{1 + 2}{2}=\frac{3}{2}=1.5\)

Answer:

1.5