Calculate the Average: Finding Mean of 10 and 12

Q: Why do I divide by 2 and not add 2?

The average formula requires division by the count of numbers. You're finding what value would be equally distributed among all positions, which means splitting the total sum evenly.

Q: Should my answer always be between the two numbers?

Yes! When finding the average of two numbers, your answer should always fall between them. If it doesn't, double-check your calculation.

Q: Is there a shortcut for finding the average of two numbers?

Yes! You can find the middle point by adding the numbers and dividing by 2, or think of it as the number that's exactly halfway between them on a number line.

Q: Can I use this same method for more than two numbers?

Absolutely! The formula $ \text{Average} = \frac{\text{Sum}}{\text{Count}} $ works for any amount of numbers - just add them all up and divide by how many there are.

Mean Calculation with Two Numbers

Calculate the average of $10$ and $12$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's find the average.

00:07 To calculate the average, divide the total sum by the number of items.

00:13 First, add up all the numbers.

00:17 Then, divide by the number, which is two.

00:27 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate the average of $10$ and $12$ .

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information
Step 2: Apply the appropriate formula
Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We are given the numbers 10 and 12.
Step 2: We'll use the formula for the average, which is $\text{Average} = \frac{\text{Sum of the terms}}{\text{Number of terms}}$ .
Step 3: Calculate the sum of 10 and 12, which is $10 + 12 = 22$ .
Divide this sum by the number of terms: $\frac{22}{2} = 11$ .

Therefore, the average of 10 and 12 is $11$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Average = Sum of all values ÷ Number of values
Technique: Add the numbers first: 10 + 12 = 22, then divide by 2
Check: Verify that 11 is between 10 and 12 as expected ✓

Common Mistakes

Avoid these frequent errors

Forgetting to divide by the number of values
Don't just add the numbers and stop at 22 = wrong answer! This gives you the sum, not the average. Always divide the sum by how many numbers you added together.

Practice Quiz

Test your knowledge with interactive questions

If the balls below are divided so that each column in the table contains an equal number, then how many balls will there be in each column?

FAQ

Everything you need to know about this question

Why do I divide by 2 and not add 2?

The average formula requires division by the count of numbers. You're finding what value would be equally distributed among all positions, which means splitting the total sum evenly.

Should my answer always be between the two numbers?

Yes! When finding the average of two numbers, your answer should always fall between them. If it doesn't, double-check your calculation.

What if I get a decimal answer?

That's completely normal! Averages don't have to be whole numbers. For example, the average of 10 and 11 would be $10.5$ .

Is there a shortcut for finding the average of two numbers?

Yes! You can find the middle point by adding the numbers and dividing by 2, or think of it as the number that's exactly halfway between them on a number line.

Can I use this same method for more than two numbers?

Absolutely! The formula $\text{Average} = \frac{\text{Sum}}{\text{Count}}$ works for any amount of numbers - just add them all up and divide by how many there are.

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