Calculate the Average: Finding Mean of 23, 4, 28, and 1

Q: What's the difference between mean, median, and mode?

Mean is the average (what we calculated here). Median is the middle value when numbers are in order. Mode is the most frequently occurring number.

Q: Do I need to put the numbers in order first?

No! For calculating the average (mean), order doesn't matter. You just add all numbers together regardless of their arrangement.

Q: What if the average isn't a whole number?

That's completely normal! Averages can be decimals or fractions. For example, the average of 1, 2, and 3 is $ \frac{6}{3} = 2 $, but the average of 1, 2, and 4 is $ \frac{7}{3} = 2.33... $

Q: How can I check if my sum is correct?

Add the numbers in a different order or group them differently. For example: (23 + 1) + (4 + 28) = 24 + 32 = 56. If you get the same sum, you're correct!

Q: Why is this called the 'mean'?

The word 'mean' comes from the idea of finding the 'middle ground' value. It represents what each number would be if all values were equal while keeping the same total.

Arithmetic Mean with Four Numbers

Calculate the average

of $23,4,28,$ and $1$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's calculate the average.

00:09 First, we divide the total sum by the number of values.

00:13 So, let's add up all the numbers.

00:22 Then, divide this sum by four, since there are four numbers.

00:44 And that's how we find the average.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate the average

of $23,4,28,$ and $1$ .

Step-by-step solution

To solve this problem and calculate the average of the numbers $23$ , $4$ , $28$ , and $1$ , follow these steps:

Step 1: Calculate the sum of the numbers:
$23 + 4 + 28 + 1 = 56$
Step 2: Count the number of items in the set.
There are 4 numbers: $23, 4, 28,$ and $1$ .
Step 3: Divide the sum by the count of numbers to find the average:
$\frac{56}{4} = 14$

Therefore, the average of the numbers is $14$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Average equals sum of all values divided by count
Technique: First add: 23 + 4 + 28 + 1 = 56
Check: Multiply answer by count: 14 × 4 = 56 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count all numbers in the set
Don't count only 3 numbers when there are 4 = wrong denominator! This gives 56 ÷ 3 = 18.67 instead of 14. Always count every single number in your data set before dividing.

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

What's the difference between mean, median, and mode?

Mean is the average (what we calculated here). Median is the middle value when numbers are in order. Mode is the most frequently occurring number.

Do I need to put the numbers in order first?

No! For calculating the average (mean), order doesn't matter. You just add all numbers together regardless of their arrangement.

What if the average isn't a whole number?

That's completely normal! Averages can be decimals or fractions. For example, the average of 1, 2, and 3 is $\frac{6}{3} = 2$ , but the average of 1, 2, and 4 is $\frac{7}{3} = 2.33...$

How can I check if my sum is correct?

Add the numbers in a different order or group them differently. For example: (23 + 1) + (4 + 28) = 24 + 32 = 56. If you get the same sum, you're correct!

Why is this called the 'mean'?

The word 'mean' comes from the idea of finding the 'middle ground' value. It represents what each number would be if all values were equal while keeping the same total.

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