Calculate Average Change: Adding 7 to Sequence (7,7,7,7)

Question

Look at the following numbers:

7,7,7,7 7,7,7,7

If the number 7 is added to the group, how will the average change?

Video Solution

Step-by-Step Solution

To solve this problem, let's calculate the average of the numbers before and after introducing an additional 77.

Initially, we have four numbers: 7,7,7,77, 7, 7, 7.

  • Step 1: Calculate the sum of these numbers.
    7+7+7+7=287 + 7 + 7 + 7 = 28.
  • Step 2: Calculate the initial average.
    284=7\frac{28}{4} = 7.

Now, we add another 77 to the group, resulting in five numbers: 7,7,7,7,77, 7, 7, 7, 7.

  • Step 3: Calculate the new sum.
    28+7=3528 + 7 = 35.
  • Step 4: Calculate the new average.
    355=7\frac{35}{5} = 7.

Both the initial average and the new average are 77. Therefore, the average remains unchanged.

Based on this analysis, the correct choice is:

It will remain the same.

Therefore, the solution to the problem is it will remain the same..

Answer

It will remain the same.