College

What is the median of the following set of numbers?

[tex]\begin{array}{llllll} -93 & -99 & -93 & -88 & 85 & 89 \end{array}[/tex]

Answer :

To find the median of a list of numbers, follow these steps:

1. List the numbers: The numbers given are -93, -99, -93, -88, 85, and 89.

2. Sort the numbers: Arrange the numbers in ascending order:
-99, -93, -93, -88, 85, 89

3. Find the median: Since there are 6 numbers in the list (even number), the median is the average of the middle two numbers.

4. Locate the middle numbers: In the sorted list, the middle numbers are the 3rd and 4th numbers, which are -93 and -88.

5. Calculate the median: Find the average of these two middle numbers:
[tex]\[
\text{Median} = \frac{-93 + (-88)}{2} = \frac{-181}{2} = -90.5
\][/tex]

Therefore, the median of the given numbers is -90.5.