Find Number Groups with Mean = 4: Average Value Problem

Choose the group of numbers of which 4 is the average.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the group with an average of 4
00:03 To calculate the average, we'll sum and divide by the number of occurrences
00:14 This is the average, now let's move to the next group
00:31 This is the average, now let's move to the next group
00:43 This is the average, note that it's 4, now let's move to the next group
00:50 In a group where all numbers are identical, the average is that number
00:53 Let's verify the average using the formula for calculating the average
01:05 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Choose the group of numbers of which 4 is the average.

2

Step-by-step solution

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

  • Calculate the average for each group of numbers provided in the choices.
  • Identify the group whose average equals 4.

Let's apply these steps to each choice:

Choice 1: 2,22, 2

Sum=2+2=4\text{Sum} = 2 + 2 = 4
Count=2\text{Count} = 2
Average=42=2\text{Average} = \frac{4}{2} = 2

Choice 2: 6,3,36, 3, 3

Sum=6+3+3=12\text{Sum} = 6 + 3 + 3 = 12
Count=3\text{Count} = 3
Average=123=4\text{Average} = \frac{12}{3} = 4

Choice 3: 6,4,56, 4, 5

Sum=6+4+5=15\text{Sum} = 6 + 4 + 5 = 15
Count=3\text{Count} = 3
Average=153=5\text{Average} = \frac{15}{3} = 5

Choice 4: 4,0,04, 0, 0

Sum=4+0+0=4\text{Sum} = 4 + 0 + 0 = 4
Count=3\text{Count} = 3
Average=431.33\text{Average} = \frac{4}{3} \approx 1.33

Upon examining these calculations, the group 6,3,36, 3, 3 (Choice 2) has an average of 4, which satisfies the condition given in the problem.

Therefore, the solution to the problem is 6,3,3 6, 3, 3 .

3

Final Answer

6,3,3 6,3,3

Practice Quiz

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

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