Calculate the Average: Finding Mean of 22, 24, and 14 Apples in Three Boxes

Average Calculation with Three Data Values

There are three boxes of apples on the table.

Box A contains 22 apples.

Box B contains 24 apples.

Box C contains 14 apples.

How many apples are there on average in each box?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

There are three boxes of apples on the table.

Box A contains 22 apples.

Box B contains 24 apples.

Box C contains 14 apples.

How many apples are there on average in each box?

2

Step-by-step solution

To calculate the average number of apples in each box, we need to find the total number of apples in all the boxes and then divide by the number of boxes.

  • First, determine the total number of apples across all boxes. We have:
    22+24+1422 + 24 + 14 apples.

    The sum of apples in each box is:
    22+24+14=6022 + 24 + 14 = 60 apples.


  • Next, we find the average by dividing the total number of apples by the number of boxes. There are 3 boxes:
    603\frac{60}{3}.


  • Perform the division:
    603=20\frac{60}{3} = 20.


Thus, the average number of apples in each box is 2020 apples.

3

Final Answer

20

Key Points to Remember

Essential concepts to master this topic
  • Formula: Average equals sum of all values divided by count
  • Technique: Add all values first: 22 + 24 + 14 = 60
  • Check: Multiply average by count: 20 × 3 = 60 total ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to divide by the number of values
    Don't just add the numbers and stop at 60 = wrong answer! This gives you the total, not the average. Always divide the sum by how many values you added together.

Practice Quiz

Test your knowledge with interactive questions

\( 9 \times (2 \times 1) = \)

FAQ

Everything you need to know about this question

Why do I need to divide by 3?

+

Because there are 3 boxes! The average spreads the total equally across all boxes. If you don't divide, you get the total amount, not the average per box.

What if the numbers don't divide evenly?

+

That's normal! Many averages are decimals or fractions. For example, if the total was 61, the average would be 613=20.33... \frac{61}{3} = 20.33...

Can I check my answer a different way?

+

Yes! If each box had exactly 20 apples, you'd have 20 × 3 = 60 total apples. This matches our original sum, so 20 is correct!

Do I always add first, then divide?

+

Always! The order matters in averages. First find the total sum, then divide by the count of values. Never divide individual numbers first.

What does 'average' actually mean?

+

Average means equal sharing. If you took all 60 apples and divided them equally among the 3 boxes, each box would get 20 apples.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 The Order of Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations