Calculate the Average of 10, 35, 25, and 10: Step-by-Step Solution

Q: Why do I count the number 10 twice if it appears twice?

Each position in your data set matters! Even though 10 appears twice, it represents two separate data points. Think of it like having four test scores: 10, 35, 25, and 10.

Q: Is there a faster way to add these numbers?

Group similar numbers first! Since 10 appears twice, you can think: $ 2 \times 10 + 35 + 25 = 20 + 60 = 80 $. This reduces calculation errors.

Q: How do I know if my final answer makes sense?

The average should be between your smallest and largest values. Here, 20 is between 10 and 35, so it makes sense! If your answer is outside this range, double-check your work.

Q: What if the sum doesn't divide evenly?

That's normal! Many averages are decimal numbers. Just divide carefully and round to a reasonable number of decimal places if needed (usually 1-2 places).

Average Calculation with Repeated Values

Calculate the average

of $10,35,25,$ and $10$ .

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's find the average!

00:08 To do this, first add up all the numbers.

00:12 Then, divide that total by how many numbers there are.

00:20 In this case, we'll divide by four.

00:37 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 $10,35,25,$ and $10$ .

Step-by-step solution

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

Step 1: Sum the numbers 10, 35, 25, and 10.
Step 2: Divide the sum by the number of values, which is 4, to find the average.

Now, let's work through each step:
Step 1: Add the numbers together:
$10 + 35 + 25 + 10 = 80$ .
Step 2: Divide the sum by the number of values (4):
$\frac{80}{4} = 20$ .

Therefore, the average of 10, 35, 25, and 10 is $20$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Add all numbers, then divide by count of values
Technique: Sum: 10 + 35 + 25 + 10 = 80, then divide by 4
Check: Verify count is correct: four numbers means divide by 4 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count repeated values
Don't count 10, 35, 25, 10 as only 3 different numbers = wrong average of 26.7! Repeated values still count as separate data points. Always count each number in the list, even if some values repeat.

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 count the number 10 twice if it appears twice?

Each position in your data set matters! Even though 10 appears twice, it represents two separate data points. Think of it like having four test scores: 10, 35, 25, and 10.

What if I accidentally skip counting a repeated number?

You'll get the wrong average! In this problem, if you only counted 3 numbers instead of 4, you'd get $\frac{80}{3} = 26.67$ instead of the correct answer 20.

Is there a faster way to add these numbers?

Group similar numbers first! Since 10 appears twice, you can think: $2 \times 10 + 35 + 25 = 20 + 60 = 80$ . This reduces calculation errors.

How do I know if my final answer makes sense?

The average should be between your smallest and largest values. Here, 20 is between 10 and 35, so it makes sense! If your answer is outside this range, double-check your work.

What if the sum doesn't divide evenly?

That's normal! Many averages are decimal numbers. Just divide carefully and round to a reasonable number of decimal places if needed (usually 1-2 places).

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