Find Number Groups with Mean Value of 2: Average Calculation

Question

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

Video Solution

Solution Steps

00:00 Choose the group with an average of 2
00:03 To calculate the average, we sum and divide by the number of occurrences
00:09 In a group where all numbers are identical, the average is that number
00:16 Let's verify the average using the formula for calculating averages
00:26 This is the average, now let's move to the next group
00:31 We'll use the formula for calculating averages to find the average
00:37 This is the average, now let's move to the next group
00:41 In a group where all numbers are identical, the average is that number
00:51 Let's verify the average using the formula for calculating averages
00:55 This is the average, now let's move to the next group
01:10 And this is the solution to the question

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