Arithmetic Mean Calculation
To find the arithmetic mean of a set of numbers, we sum all the numbers and then divide by the count of the numbers.
Step 1: Sum the Numbers
Add all the given numbers together:
$ 36 + 53 + 50 + 43 + 57 + 50 + 40 + 35 + 39 + 34 $
The sum is:
$ 437 $
Step 2: Count the Numbers
Count how many numbers are in the list. There are 10 numbers.
Step 3: Calculate the Arithmetic Mean
Divide the sum (from Step 1) by the count (from Step 2).
The formula for the arithmetic mean is:
$ \text{Arithmetic Mean} = \frac{\sum_{i=1}^{n} x_i}{n} $
Where $ \sum_{i=1}^{n} x_i $ is the sum of the numbers and $ n $ is the total count of numbers.
Applying this:
$ \text{Arithmetic Mean} = \frac{437}{10} = 43.7 $
Conclusion
The arithmetic mean of the given numbers is 43.7.
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