Calculate Average Change: Adding 10 to Numbers 2,3,4,5

Question

Look at the following numbers:

2,3,4,5 2,3,4,5

If we add the number 10 to the group, then what will happen to the average?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the sum and average of the original numbers.
  • Step 2: Add the number 10 to the original list and calculate the new sum and average.
  • Step 3: Compare the two averages to determine if there is an increase, decrease, or no change.

Now, let's work through each step:

Step 1: Calculate the sum and average of the original numbers (2, 3, 4, 5).
Sum = 2+3+4+5=142 + 3 + 4 + 5 = 14
Average = 144=3.5\frac{14}{4} = 3.5

Step 2: Include the number 10 in the group.
New sum = 14+10=2414 + 10 = 24
New average = 245=4.8\frac{24}{5} = 4.8

Step 3: Compare the averages.
Original average was 3.5, and the new average is 4.8.

The new average (4.8) is greater than the original average (3.5), which means the average will increase.

Therefore, the correct choice is: It will increase.

Answer

It will increase.