Calculate the Average: Finding Mean of 30 and 6

Q: Why do I divide by 2 when finding the average of two numbers?

Because you're splitting the total equally between the two numbers! The average represents what each number would be if they were the same value but kept the same total.

Q: What if the two numbers are very different like 30 and 6?

The average will always be somewhere in the middle. It might be closer to one number than the other, but it balances them out perfectly!

Q: How can I check if my average is reasonable?

Your average should always be between the smallest and largest numbers. If 18 is between 6 and 30, you're on the right track!

Q: Does the order of the numbers matter when calculating average?

No! Whether you calculate (30 + 6) ÷ 2 or (6 + 30) ÷ 2, you'll get the same answer. Addition is commutative.

Q: What's the difference between average and sum?

The sum adds everything up (30 + 6 = 36). The average takes that sum and divides by how many numbers you added (36 ÷ 2 = 18). Average gives you the typical value.

Average Calculation with Two Numbers

Calculate the average of $30$ and $6$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate the average

00:03 To calculate the average, we need to divide the sum by the number of occurrences

00:07 Let's sum up the numbers

00:11 and divide by the number of occurrences (2)

00:21 and that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate the average of $30$ and $6$ .

Step-by-step solution

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

Step 1: Add the two numbers together, 30 and 6.
Step 2: Divide the result by 2 to find the average.

Let's perform these steps:
Step 1: Calculate the sum:
$30 + 6 = 36$
Step 2: Divide the sum by 2:
$\frac{36}{2} = 18$

Therefore, the average of 30 and 6 is $18$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Add all numbers then divide by how many numbers you have
Technique: For two numbers: $\frac{30 + 6}{2} = \frac{36}{2} = 18$
Check: The average should be between the smallest and largest values: 6 < 18 < 30 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to divide by the number of values
Don't just add the numbers and stop = 30 + 6 = 36! 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 when finding the average of two numbers?

Because you're splitting the total equally between the two numbers! The average represents what each number would be if they were the same value but kept the same total.

What if the two numbers are very different like 30 and 6?

The average will always be somewhere in the middle. It might be closer to one number than the other, but it balances them out perfectly!

How can I check if my average is reasonable?

Your average should always be between the smallest and largest numbers. If 18 is between 6 and 30, you're on the right track!

Does the order of the numbers matter when calculating average?

No! Whether you calculate (30 + 6) ÷ 2 or (6 + 30) ÷ 2, you'll get the same answer. Addition is commutative.

What's the difference between average and sum?

The sum adds everything up (30 + 6 = 36). The average takes that sum and divides by how many numbers you added (36 ÷ 2 = 18). Average gives you the typical value.

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