Given:
The set of data of Capital of prisons.
1, 126, 8, 2, 746, 2, 82, 9, 33, 0 ,0.
Aim:
We need to find the median of the given data set.
Explanation:
Rewrite the given data set in terms from least to greatest numbers.
0,0, 1, 2,2,8,9,33, 82, 126, 746.
There are 11 terms in this data set.
The middle term is the 6th term.
We know that median = the middle term.
[tex]Median\text{ = 6th term.}[/tex]6 th term is 8.
[tex]Median\text{ =8.}[/tex]Median is middle term so some wedern states must have fewer than 8.
For example, Wyoming has 1 capital prisoner.
The first option is wrong.
50 % of western states have fewer than 8 capital prisoners is true since 8 is the middle of the data set.
Final answer:
D. The median is 8 capital prisoners. This means that 50% of these western states have fewer than this many capital prisoners.