Find Groups with Mean = 6: Average Value Selection Problem

Question

Choose the group of numbers of which 6 is the average.

Video Solution

Step-by-Step Solution

To solve this problem, we will apply the formula for the average. We will proceed by evaluating each choice to identify which group has an average of 6.

The average for a group of numbers is calculated as:

Average=Sum of valuesNumber of values \text{Average} = \frac{\text{Sum of values}}{\text{Number of values}}

Now, let's calculate and analyze:

  • Choice 1: 1,2,31,2,3
    Calculate the sum: 1+2+3=61 + 2 + 3 = 6
    Number of values: 3
    Average: 63=2\frac{6}{3} = 2

  • Choice 2: 3,3,33,3,3
    Calculate the sum: 3+3+3=93 + 3 + 3 = 9
    Number of values: 3
    Average: 93=3\frac{9}{3} = 3

  • Choice 3: 6,0,06,0,0
    Calculate the sum: 6+0+0=66 + 0 + 0 = 6
    Number of values: 3
    Average: 63=2\frac{6}{3} = 2

  • Choice 4: 6,8,46,8,4
    Calculate the sum: 6+8+4=186 + 8 + 4 = 18
    Number of values: 3
    Average: 183=6\frac{18}{3} = 6

Thus, the group of numbers with an average of 6 is 6,8,46,8,4.

Answer

6,8,4 6,8,4