Find Number Groups with Mean Value of 2: Average Calculation

Question

Choose the group of numbers of which 2 is the average.

Video Solution

Step-by-Step Solution

To solve this problem, we need to compute the average for each group of numbers provided in the options and check which group has an average of 2.

Step 1: Calculate the average for each group:

  • Choice 1: 1,21, 2
    - Sum = 1+2=31 + 2 = 3
    - Count = 22
    - Average = 32=1.5\frac{3}{2} = 1.5
  • Choice 2: 3,33, 3
    - Sum = 3+3=63 + 3 = 6
    - Count = 22
    - Average = 62=3\frac{6}{2} = 3
  • Choice 3: 2,02, 0
    - Sum = 2+0=22 + 0 = 2
    - Count = 22
    - Average = 22=1\frac{2}{2} = 1
  • Choice 4: 2,2,2,22, 2, 2, 2
    - Sum = 2+2+2+2=82 + 2 + 2 + 2 = 8
    - Count = 44
    - Average = 84=2\frac{8}{4} = 2

Step 2: Identify the correct choice.
From the calculations above, the only group that has an average of 2 is Choice 4 (2,2,2,22, 2, 2, 2).

Therefore, the correct group of numbers with an average of 2 is 2,2,2,22, 2, 2, 2.

Answer

2,2,2,2 2,2,2,2