Calculate Average Change: Removing 1 from Dataset {1,2,3,11}

To solve this problem, we need to compare the average of the numbers $1, 2, 3, 11$ before and after removing the number 1.

Let's follow these steps:

• Step 1: Calculate the original average.

The original set of numbers is $1, 2, 3, 11$.
Calculate the sum of these numbers:

$1 + 2 + 3 + 11 = 17$.

There are 4 numbers in the original set, so the original average is:

$\text{Original Average} = \frac{17}{4} = 4.25$.

• Step 2: Calculate the new average after removing the number 1.

The new set of numbers is $2, 3, 11$.
Calculate the sum of these numbers:

$2 + 3 + 11 = 16$.

There are 3 numbers in the new set, so the new average is:

$\text{New Average} = \frac{16}{3} \approx 5.33$.

• Step 3: Compare the two averages.

Original average: $4.25$
New average: $5.33$

Since $5.33 > 4.25$, the average increases when we remove the number 1 from the group.

Therefore, the solution to the problem is It will increase.