Answer :

To find the average of the numbers [tex]\(4.2\)[/tex], [tex]\(2.61\)[/tex], and [tex]\(3.6\)[/tex], we need to go through a few steps.

1. Sum of the numbers:
Add all the given numbers together:
[tex]\[ 4.2 + 2.61 + 3.6 = 10.41 \][/tex]

2. Number of values:
Count how many numbers we have:
[tex]\[ \text{There are 3 numbers.} \][/tex]

3. Calculate the average:
Use the formula for the average, which is the sum of the numbers divided by the count of numbers:
[tex]\[ \text{Average} = \frac{\text{Sum of the numbers}}{\text{Number of values}} = \frac{10.41}{3} = 3.47 \][/tex]

So, the average of [tex]\(4.2\)[/tex], [tex]\(2.61\)[/tex], and [tex]\(3.6\)[/tex] is [tex]\(\boxed{3.47}\)[/tex].