Find Number Groups with Average of 10: Selection Challenge

Question

Choose the group of numbers of which 10 is the average.

Video Solution

Step-by-Step Solution

To solve the problem of determining which group of numbers has an average of 10, we will evaluate each provided choice:

  • Choice 1: 10,12,11 10, 12, 11
    Sum = 10+12+11=33 10 + 12 + 11 = 33
    Number of elements = 3
    Average = 333=11 \frac{33}{3} = 11
  • Choice 2: 8,10 8, 10
    Sum = 8+10=18 8 + 10 = 18
    Number of elements = 2
    Average = 182=9 \frac{18}{2} = 9
  • Choice 3: 10,0 10, 0
    Sum = 10+0=10 10 + 0 = 10
    Number of elements = 2
    Average = 102=5 \frac{10}{2} = 5
  • Choice 4: 40,0,0,0 40, 0, 0, 0
    Sum = 40+0+0+0=40 40 + 0 + 0 + 0 = 40
    Number of elements = 4
    Average = 404=10 \frac{40}{4} = 10

After evaluating all the choices, we find that Choice 4: 40,0,0,0 40, 0, 0, 0 achieves an average of 10.

Therefore, the solution to the problem is 40,0,0,0 40, 0, 0, 0 .

Answer

40,0,0,0 40,0,0,0