Question

The arithmetic mean of the even positive numbers from 1 to 10 will be:

• A. 2
• B. 4
• C. 5
• D. 6

Hint:

The arithmetic mean of a set of numbers is the sum of the numbers divided by the number of numbers in the set.

Answer 1

The Correct Option is B

The even positive numbers between 1 and 10 are \( 2, 4, 6, 8, 10 \).
Step 1: Calculate the sum of the even numbers.
The sum of these numbers is: \[ 2 + 4 + 6 + 8 + 10 = 30 \]
Step 2: Find the number of even numbers.
There are 5 even numbers in total: \( 2, 4, 6, 8, 10 \).
Step 3: Calculate the arithmetic mean.
The arithmetic mean is given by the formula: \[ \text{Arithmetic Mean} = \frac{\text{Sum of numbers}}{\text{Number of numbers}} = \frac{30}{5} = 6 \]
Step 4: Conclusion.
Therefore, the arithmetic mean of the even positive numbers from 1 to 10 is 6.