Calculate the Average: Finding the Mean of 9, 4, and 8

Finding Mean with Three Integer Values

Calculate the average of 9 9 , 4 4 , and 8 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
00:06 Let's sum up the numbers
00:11 and divide by the number of occurrences (3)
00:27 and that's the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the average of 9 9 , 4 4 , and 8 8 .

2

Step-by-step solution

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

  • Step 1: Identify the given numbers and set up the problem.
  • Step 2: Calculate the sum of the numbers.
  • Step 3: Divide the sum by the total count of numbers to find the average.

Now, let's work through each step:

Step 1: We have three numbers: 9 9 , 4 4 , and 8 8 . Our task is to find their average.

Step 2: Calculate the sum of these numbers:
9+4+8 9 + 4 + 8

First, add 9 9 and 4 4 :
9+4=13 9 + 4 = 13

Next, add 13 13 to 8 8 :
13+8=21 13 + 8 = 21

So, the sum of the numbers is 21 21 .

Step 3: Divide the sum by the number of numbers to find the average:
Average=213 \text{Average} = \frac{21}{3}

Calculating the division:
21÷3=7 21 \div 3 = 7

Thus, the average of the numbers 9 9 , 4 4 , and 8 8 is 7 7 .

Therefore, the solution to the problem is 7 7 .

3

Final Answer

7

Key Points to Remember

Essential concepts to master this topic
  • Formula: Mean equals sum of all values divided by count
  • Technique: Add 9 + 4 + 8 = 21, then divide by 3
  • Check: Verify that 3 × 7 = 21 matches original sum ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to divide by the total count of numbers
    Don't just add the numbers and stop at the sum = wrong answer! The sum (21) is not the average. Always divide the sum by how many numbers you added together to get the true mean.

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?

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Mean is the average (add all numbers ÷ count). Median is the middle value when arranged in order. Mode is the most frequently occurring number.

What if the numbers don't divide evenly?

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That's completely normal! Your average can be a decimal or fraction. For example, the average of 2, 3, and 4 is 93=3 \frac{9}{3} = 3 , but the average of 1, 2, and 3 is 63=2 \frac{6}{3} = 2 .

Do I always need to add from left to right?

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No! Addition is commutative, meaning you can add in any order. Whether you do 9+4+8 or 8+4+9, you'll get the same sum of 21.

How can I check if my average makes sense?

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Your average should be between the smallest and largest numbers. Since we have 4, 8, and 9, our average of 7 fits perfectly between 4 and 9!

What if I have more than three numbers?

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The same process works! Add all the numbers together, then divide by however many numbers you have. The method stays exactly the same.

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