**Finding the Average of 4.2, 3.8, and 7.6**

To find the average of a set of numbers, we sum all the numbers together and then divide the sum by the total count of numbers. In this case, we are given three numbers: 4.2, 3.8, and 7.6. Let's calculate the average step by step:

**Step 1: Add the numbers together**
Add the three numbers together to find their sum:
4.2 + 3.8 + 7.6 = 15.6

**Step 2: Count the total numbers**
Since we are given three numbers, the total count is 3.

**Step 3: Divide the sum by the count**
Divide the sum (15.6) by the count (3) to find the average:
15.6 ÷ 3 = 5.2

Therefore, the average of the given numbers 4.2, 3.8, and 7.6 is 5.2.

**Explanation in Detail:**

To calculate the average, we use a simple formula: average = sum of numbers ÷ count of numbers. In this case, the count is 3 and the sum of the numbers is 15.6. Dividing the sum by the count gives us the average, which is 5.2.

The average represents a central value that helps us understand the overall tendency of a set of numbers. It can be thought of as the "typical" value in the set. By calculating the average, we can gain insights into the general magnitude or size of the numbers and make comparisons.

In this specific case, the numbers given are 4.2, 3.8, and 7.6. Adding these numbers together gives us a sum of 15.6. Since we have a total count of 3 numbers, we divide the sum by 3 to find the average. The result is 5.2, which represents the central tendency of the given set of numbers.

The average is a useful concept in various fields such as statistics, mathematics, and everyday life. It helps us summarize and analyze data sets, make predictions, and draw conclusions. Understanding how to calculate the average allows us to interpret numerical information effectively and make informed decisions based on the data at hand.

In conclusion, the average of the numbers 4.2, 3.8, and 7.6 is 5.2.