To find the mean of a given set of numbers, we need to follow these steps:
1. Sum the numbers: Add all the numbers in the set together.
2. Count the numbers: Determine how many numbers are in the set.
3. Divide the sum by the count: Divide the total sum by the number of elements to find the mean.
Let's go through the process step-by-step for the data set [tex]\(5, 7, 11, 17, 60\)[/tex]:
1. Sum the numbers:
[tex]\[
5 + 7 + 11 + 17 + 60 = 100
\][/tex]
2. Count the numbers:
There are 5 numbers in the data set.
3. Divide the sum by the count:
[tex]\[
\frac{100}{5} = 20
\][/tex]
Therefore, the mean of the data set [tex]\(5, 7, 11, 17, 60\)[/tex] is [tex]\(20\)[/tex].
So, the correct answer is [tex]\(20\)[/tex].
