Calculate Average Change: Removing One 10 from (10,10,10,10)

Question

Look at the following numbers:

10,10,10,10 10,10,10,10

If we remove the number 10 once from the group, what will happen to the average?

Video Solution

Step-by-Step Solution

To solve this problem, we need to calculate the average of the numbers before and after removing one 10.

Initially, we have the numbers 10,10,10,1010, 10, 10, 10.

  • Calculation of the initial average:
    • Sum of numbers: 10+10+10+10=4010 + 10 + 10 + 10 = 40
    • Number of numbers: 4
    • Average: 404=10\frac{40}{4} = 10

Now, we remove one of the 10s, leaving the numbers 10,10,1010, 10, 10.

  • Calculation of the new average:
    • Sum of numbers: 10+10+10=3010 + 10 + 10 = 30
    • Number of numbers: 3
    • Average: 303=10\frac{30}{3} = 10

We see that in both cases, the average is 10. Thus, removing one 10 does not change the average of the numbers.

Therefore, the average will remain the same.

Hence, the correct choice is: It will remain the same.

Answer

It will remain the same.