Find Number Groups with Mean Value 8: Average Selection Challenge

Choose the group of numbers of which 8 is the average.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's start by finding the group with an average of 8.
00:08 To calculate the average, add up all the numbers, then divide by how many numbers there are.
00:14 We'll use this simple formula to find the mean. Ready? Let's do it together.
00:29 Great! That's the average. Now, let's check out the next group.
00:34 Using the same average formula, let's find the mean for this one too.
00:42 Awesome! We got the average. Time to move on to the next group.
00:47 If every number in the group is the same, the average is simply that number. Easy, right?
00:52 And that's how we solve the problem. Great job!

Step-by-step written solution

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1

Understand the problem

Choose the group of numbers of which 8 is the average.

2

Step-by-step solution

To solve this problem, we'll follow these steps to verify if each group of numbers has an average of 8:

  • Calculate the average for each group of numbers provided in the answer choices.

Let's calculate:

  • Choice 1: 10,8,12,2 10, 8, 12, 2
    Sum = 10+8+12+2=32 10 + 8 + 12 + 2 = 32
    Count = 4
    Average = 324=8 \frac{32}{4} = 8
  • Choice 2: 24,0,0 24, 0, 0
    Sum = 24+0+0=24 24 + 0 + 0 = 24
    Count = 3
    Average = 243=8 \frac{24}{3} = 8
  • Choice 3: 8,8,8 8, 8, 8
    Sum = 8+8+8=24 8 + 8 + 8 = 24
    Count = 3
    Average = 243=8 \frac{24}{3} = 8

Therefore, all choices result in an average of 8.

This verifies that All answers are correct.

3

Final Answer

All answers are correct.

Practice Quiz

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Calculate the average of \( 10 \) and \( 12 \).

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