Find Number Groups with Mean = 4: Average Value Problem

Question

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

Video Solution

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 .

Answer

6,3,3 6,3,3