Latisha’s friend Brandee forgot to make up a test and had these scores: $80\%$, $92\%$, $91\%$, $75\%$, $89\%$, $84\%$, $0\%$, and $85\%$.   

1. Calculate Brandee’s mean. (Refer to the glossary if you do not remember how to do this.) Does this mean score really represent her abilities? Why or why not?

   Hint 1(a):

   The mean is the sum of all the scores divided by the number of scores.

   Hint 2(a):

   Compare this number with her scores. Does it seem right? Why or why not?

   Answer (a):

   $\frac{80+92+91+75+89+84+0+85}{8}=74.5\%$

2. Brandee persuaded her teacher, Ms. Juarez, to allow her to make up the missed test. Brandee received a $78\%$. Calculate her new mean.

   Hint (b):

   See part (a) for the definition of mean.

   Answer (b):

   $\frac{80+92+91+75+89+84+78+85}{8}=84.25\%$

3. What difference did the $0\%$ score make? Does this new mean represent Brandee’s ability more accurately?

   Hint (c):

   How did a $78\%$ instead of a $0\%$ change her average? Does it seem like the new average is better? How?