To find the mean of a list of numbers, we follow these steps:
1. Sum all the numbers in the list.
2. Count the number of elements in the list.
3. Divide the sum by the number of elements.
Let's apply these steps to the given list of numbers:
[tex]\[ 87, 32, 78, 55, 81, 73, 80, 66, 22, 74, 21, 57, 75, 93, 16 \][/tex]
1. Sum of the Numbers:
[tex]\[
87 + 32 + 78 + 55 + 81 + 73 + 80 + 66 + 22 + 74 + 21 + 57 + 75 + 93 + 16
\][/tex]
The sum of these numbers is [tex]\(910\)[/tex].
2. Count of the Numbers:
There are 15 numbers in this list.
3. Calculate the Mean:
The mean is the sum of the numbers divided by the number of elements.
[tex]\[
\text{Mean} = \frac{910}{15} = 60.666666666666664
\][/tex]
Therefore, the mean of the given list of numbers is:
[tex]\[ \boxed{60.666666666666664} \][/tex]
