Given the numbers 2, 4, 6, 8, and 10, what is the arithmetic mean?
Understand the Problem
The question is asking for the arithmetic mean (average) of the given numbers 2, 4, 6, 8, and 10. To find the mean, we will sum these numbers and then divide by the count of the numbers.
Answer
The arithmetic mean is 6.
Answer for screen readers
The arithmetic mean of the numbers 2, 4, 6, 8, and 10 is 6.
Steps to Solve
- Add the numbers together
First, we need to sum the given numbers:
$$ 2 + 4 + 6 + 8 + 10 $$
Calculating this gives: $$ 2 + 4 = 6 $$ $$ 6 + 6 = 12 $$ $$ 12 + 8 = 20 $$ $$ 20 + 10 = 30 $$
So, the total sum is 30.
- Count the numbers
Next, we need to count how many numbers we have. The numbers are 2, 4, 6, 8, and 10, which gives us a total of 5 numbers.
- Divide the sum by the count
To find the arithmetic mean (average), we divide the total sum by the count of the numbers:
$$ \text{Mean} = \frac{\text{Total Sum}}{\text{Count}} = \frac{30}{5} $$
Calculating this gives: $$ \frac{30}{5} = 6 $$
Thus, the arithmetic mean is 6.
The arithmetic mean of the numbers 2, 4, 6, 8, and 10 is 6.
More Information
The arithmetic mean is often referred to as the average. It gives a central value of a set of numbers and is commonly used in statistics to summarize data.
Tips
One common mistake is forgetting to divide by the correct count of numbers. Always ensure you count all the numbers accurately before performing the division.
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