20.54, 11.51, 13.71, 18.31, 17.53
Average Calculation Explained
This solution explains how to find the average (or arithmetic mean) of a set of numbers. The average is calculated by summing all the numbers in the set and then dividing by the total count of numbers in that set.
Given Numbers
The numbers provided in the question are:
- 20.54
- 11.51
- 13.71
- 18.31
- 17.53
Step-by-Step Calculation
To find the average, we follow these steps:
- Sum the numbers: Add all the given numbers together.
Sum = 20.54 + 11.51 + 13.71 + 18.31 + 17.53
Sum = 81.60
- Count the numbers: Determine how many numbers are in the set.
In this case, there are 5 numbers.
- Divide the sum by the count: Apply the formula for the average.
The formula for the average (mean) is:
$$ \text{Average} = \frac{\text{Sum of numbers}}{\text{Count of numbers}} $$
Substituting the values we found:
$$ \text{Average} = \frac{81.60}{5} $$
$$ \text{Average} = 16.32 $$
Final Result
The average of the numbers 20.54, 11.51, 13.71, 18.31, and 17.53 is 16.32.
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