Question

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increased. Which could be Brooke’s sixth quiz score? Check all that apply. 85 90 83 86 92 89

Answer 1

90, 86, 89, and 92

Explanation:

Basically anything above 85.6

Answer 2

90, 86, 92, 89

Explanation:

The mean of her first five quiz scores is found by adding the scores together and dividing by 5:

(84+72+90+95+87)/5 = 428/5 = 85.6

Any value higher than this mean for the sixth quiz score will raise the overall mean; any value below this mean for the sixth quiz score will lower the overall mean. This means the values that could increase her mean are 90, 86, 92 and 89.