Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped? a. The relationship cannot be determined.
b. The final mean is the same as the original.
c. The final mean is lower than the original.
d. The final mean is higher than the original.

The final mean is higher

Step-by-step explanation:

The mean of all the scores =

The mean of the scores with the 60 dropped =

The final mean is higher

That will always happen when you drop the lowest score.  I worked it out for you so that you would see that it happened in your case.

First expression:

Step 1: Multiply numerators and denominators.

Second expression:

Step 1: Multiply numerators and denominators.

Third expression:

Step 1: Convert mixed fraction into improper fraction:

Step 2: Replace the improper form into the expression

Step 2: Multiply numerators and denominators.

The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.