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 .

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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}.

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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

Calculate the average of \( 11 \) and \( 7 \).

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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