Calculate the Average of 0, 0, and 8: Mean Value Problem

Q: Do I really need to include the zeros when calculating the average?

Yes, absolutely! Zero is a real number that affects the average. If you have values 0, 0, and 8, you have three numbers total, not just one.

Q: How do I convert the improper fraction to a mixed number?

Divide the numerator by the denominator: $ 8 ÷ 3 = 2 $ remainder $ 2 $. So $ \frac{8}{3} = 2\frac{2}{3} $.

Q: Why isn't the answer just 8 since that's the only non-zero number?

The average considers all values equally. The two zeros pull the average down from 8. Think of it as sharing 8 items among 3 people - each gets $ 2\frac{2}{3} $.

Q: Can I leave my answer as an improper fraction?

Both $ \frac{8}{3} $ and $ 2\frac{2}{3} $ are correct! However, mixed numbers are often easier to understand and compare to other values.

Q: What if I made an error adding the numbers?

Always double-check your addition: $ 0 + 0 + 8 $. Since adding zero doesn't change a number, the sum is simply 8.

Average Calculation with Mixed Numbers

Calculate the average

of $0,0,$ and $8$ .

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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

00:08 Let's sum up the numbers

00:13 And divide by the number of occurrences (3)

00:24 Let's break down 8 into 6 plus 2

00:29 Let's break it down into whole number and remainder

00:33 Convert from proper fraction to whole number

00:42 And this is 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 $0,0,$ and $8$ .

Step-by-step solution

To solve this problem, we will calculate the average of the numbers 0, 0, and 8.

We follow these steps:

Step 1: Add the numbers together:

The sum of $0 + 0 + 8$ is $8$ .

Step 2: Divide the sum by the number of terms:

There are 3 numbers, so we divide the sum by 3:
$\frac{8}{3}$

This results in the fraction $\frac{8}{3}$ , which is equivalent to the mixed number $2\frac{2}{3}$ .

Therefore, the average of the numbers 0, 0, and 8 is $2\frac{2}{3}$ .

Final Answer

$2\frac{2}{3}$

Key Points to Remember

Essential concepts to master this topic

Formula: Average equals sum of all values divided by count
Technique: Add 0 + 0 + 8 = 8, then divide by 3 terms
Check: Convert $\frac{8}{3}$ to mixed number: $2\frac{2}{3}$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count zero values in the average
Don't ignore the zeros and calculate 8 ÷ 1 = 8! Zeros are real values that must be counted. This gives completely wrong results. Always count every number given, including zeros, when finding the total count.

Practice Quiz

Test your knowledge with interactive questions

Calculate the average of $$ 11 $$ and $$ 7 $$ .

FAQ

Everything you need to know about this question

Do I really need to include the zeros when calculating the average?

Yes, absolutely! Zero is a real number that affects the average. If you have values 0, 0, and 8, you have three numbers total, not just one.

How do I convert the improper fraction to a mixed number?

Divide the numerator by the denominator: $8 ÷ 3 = 2$ remainder $2$ . So $\frac{8}{3} = 2\frac{2}{3}$ .

Why isn't the answer just 8 since that's the only non-zero number?

The average considers all values equally. The two zeros pull the average down from 8. Think of it as sharing 8 items among 3 people - each gets $2\frac{2}{3}$ .

Can I leave my answer as an improper fraction?

Both $\frac{8}{3}$ and $2\frac{2}{3}$ are correct! However, mixed numbers are often easier to understand and compare to other values.

What if I made an error adding the numbers?

Always double-check your addition: $0 + 0 + 8$ . Since adding zero doesn't change a number, the sum is simply 8.

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