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

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