Calculate the Average: Finding Mean of 1 and 5

Average Calculation with Two Numbers

Calculate the average of 1 1 and 5 5 .

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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
00:07 Let's sum up the numbers
00:11 And divide by the number of occurrences (2)
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Calculate the average of 1 1 and 5 5 .

2

Step-by-step solution

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

  • Step 1: Identify the given numbers, which are 11 and 55.
  • Step 2: Apply the average formula a+b2\frac{a + b}{2}.
  • Step 3: Perform the necessary calculations.

Let's work through each step:

Step 1: The numbers we need to average are 11 and 55.

Step 2: We use the formula for the average of two numbers:

Average=a+b2 \text{Average} = \frac{a + b}{2}

where a=1a = 1 and b=5b = 5.

Step 3: Plug these values into the formula:

Average=1+52=62=3 \text{Average} = \frac{1 + 5}{2} = \frac{6}{2} = 3

Therefore, the average of 11 and 55 is 3\mathbf{3}.

3

Final Answer

3

Key Points to Remember

Essential concepts to master this topic
  • Formula: Average equals sum divided by count of numbers
  • Technique: Add 1 + 5 = 6, then divide by 2
  • Check: Verify 3 is halfway between 1 and 5 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to divide by the count of numbers
    Don't just add 1 + 5 = 6 and stop there! This gives you the sum, not the average. The average is always the sum divided by how many numbers you have. Always divide the sum by 2 when finding the average of two 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 divide by 2 when finding the average of two numbers?

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The average represents the middle value that would make all numbers equal. Since you have two numbers (1 and 5), you divide their sum by 2 to find what value would be exactly in between them.

How can I tell if my average makes sense?

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Your average should always be between the smallest and largest numbers. Since 3 is between 1 and 5, it makes perfect sense! If your answer is outside this range, check your work.

What if I have more than two numbers?

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The same formula works! Add all the numbers together, then divide by how many numbers you have. For three numbers, divide by 3; for four numbers, divide by 4, and so on.

Is there a quick way to find the average of two numbers?

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Yes! For any two numbers, the average is always the number exactly halfway between them. You can think: what number is the same distance from both 1 and 5? That's 3!

What does a+b2 \frac{a + b}{2} mean in the formula?

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This is just math notation! a and b represent your two numbers. So 1+52 \frac{1 + 5}{2} means add 1 and 5, then divide by 2.

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