Answer :
To find the median of the numbers
[tex]$$-7, \; 12, \; 2, \; -12, \; 7, \; 8,$$[/tex]
follow these steps:
1. Sort the Numbers:
Arrange the numbers in increasing order. When sorted, the list becomes:
[tex]$$
-12, \; -7, \; 2, \; 7, \; 8, \; 12.
$$[/tex]
2. Determine the Number of Elements:
There are 6 numbers in total (an even number).
3. Find the Two Middle Numbers:
For an even number of values, the median is the average of the two middle numbers. In the sorted list, the two middle numbers are the 3rd and 4th elements, which are:
[tex]$$
2 \text{ and } 7.
$$[/tex]
4. Calculate the Median:
Average the two middle numbers:
[tex]$$
\text{Median} = \frac{2 + 7}{2} = \frac{9}{2} = 4.5.
$$[/tex]
Thus, the median of the given numbers is
[tex]$$4.5.$$[/tex]
[tex]$$-7, \; 12, \; 2, \; -12, \; 7, \; 8,$$[/tex]
follow these steps:
1. Sort the Numbers:
Arrange the numbers in increasing order. When sorted, the list becomes:
[tex]$$
-12, \; -7, \; 2, \; 7, \; 8, \; 12.
$$[/tex]
2. Determine the Number of Elements:
There are 6 numbers in total (an even number).
3. Find the Two Middle Numbers:
For an even number of values, the median is the average of the two middle numbers. In the sorted list, the two middle numbers are the 3rd and 4th elements, which are:
[tex]$$
2 \text{ and } 7.
$$[/tex]
4. Calculate the Median:
Average the two middle numbers:
[tex]$$
\text{Median} = \frac{2 + 7}{2} = \frac{9}{2} = 4.5.
$$[/tex]
Thus, the median of the given numbers is
[tex]$$4.5.$$[/tex]
