Calculate the Average of Numbers: 10, 3, 2, and 4

Q: Should I leave my answer as 19/4 or convert to mixed number?

Both forms are correct! $ \frac{19}{4} $ and $ 4\frac{3}{4} $ mean the same thing. Mixed numbers are often easier to understand because they show the whole number part clearly.

Q: How do I convert 19/4 to a mixed number?

Divide 19 by 4: 19 ÷ 4 = 4 remainder 3. The quotient (4) becomes the whole number, and the remainder (3) goes over the original denominator (4): $ 4\frac{3}{4} $

Q: Can I check my answer by working backwards?

Yes! Multiply your average by the count: $ 4\frac{3}{4} \times 4 = \frac{19}{4} \times 4 = 19 $. This should equal your original sum!

Q: What if I need the answer as a decimal?

Just divide: $ \frac{19}{4} = 19 ÷ 4 = 4.75 $. All three forms are equivalent: $ \frac{19}{4} = 4\frac{3}{4} = 4.75 $

Mean Calculation with Mixed Numbers

Calculate the average

of $10,3,2,$ and $4$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 First, let's find the average.

00:07 To do this, we divide the total sum by how many numbers we h ave.

00:13 Let's add all the numbers together.

00:19 Then, divide this total by four.

00:34 Now, let's break down nineteen into nineteen plus three.

00:41 We split it into a whole number and a remainder.

00:48 Convert the fraction to a whole number.

00:53 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 $10,3,2,$ and $4$ .

Step-by-step solution

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

Step 1: Calculate the sum of the numbers.
Step 2: Count the number of numbers given.
Step 3: Divide the sum by the count to find the average.

Now, let's work through each step:

Step 1: Add the numbers $10 + 3 + 2 + 4$ .

$10 + 3 + 2 + 4 = 19$ .

Step 2: Count the number of numbers, which is 4.

Step 3: Divide the total sum by the number of numbers: $\frac{19}{4}$ .

$\frac{19}{4}$ can be written as a mixed number, which is $4\frac{3}{4}$ .

Therefore, the average of 10, 3, 2, and 4 is $4\frac{3}{4}$ .

Final Answer

$4\frac{3}{4}$

Key Points to Remember

Essential concepts to master this topic

Formula: Average equals sum divided by count of numbers
Technique: Add 10 + 3 + 2 + 4 = 19, then divide by 4
Check: Convert $\frac{19}{4} = 4\frac{3}{4}$ back to decimal: 4.75 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count all numbers when dividing
Don't count wrong like dividing 19 by 3 instead of 4 = getting 6.33! This happens when you miscount the given numbers. Always count each number carefully: 10, 3, 2, 4 equals exactly 4 numbers.

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 get a fraction instead of a whole number?

Averages don't have to be whole numbers! When the sum doesn't divide evenly by the count, you get a fraction or decimal. That's completely normal and correct.

Should I leave my answer as 19/4 or convert to mixed number?

Both forms are correct! $\frac{19}{4}$ and $4\frac{3}{4}$ mean the same thing. Mixed numbers are often easier to understand because they show the whole number part clearly.

How do I convert 19/4 to a mixed number?

Divide 19 by 4: 19 ÷ 4 = 4 remainder 3. The quotient (4) becomes the whole number, and the remainder (3) goes over the original denominator (4): $4\frac{3}{4}$

Can I check my answer by working backwards?

Yes! Multiply your average by the count: $4\frac{3}{4} \times 4 = \frac{19}{4} \times 4 = 19$ . This should equal your original sum!

What if I need the answer as a decimal?

Just divide: $\frac{19}{4} = 19 ÷ 4 = 4.75$ . All three forms are equivalent: $\frac{19}{4} = 4\frac{3}{4} = 4.75$

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