brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. after taking the sixth quiz, brookes…

brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. after taking the sixth quiz, brookes mean score increased. which could be brookes sixth quiz score? select three options. 85 90 83 86 92

brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. after taking the sixth quiz, brookes mean score increased. which could be brookes sixth quiz score? select three options. 85 90 83 86 92

Answer

Answer:

B. 90, D. 86, E. 92

Explanation:

Step1: Calculate the initial mean

The sum of the first - five scores is (84 + 72+90 + 95+87=428). The initial mean of the five scores is (\frac{428}{5}=85.6).

Step2: Analyze the condition for mean increase

For the mean of six scores to be greater than 85.6, the sixth - score (x) must satisfy the inequality (\frac{428 + x}{6}>85.6). Cross - multiply: (428+x>85.6\times6), (428+x > 513.6), (x>513.6 - 428), (x > 85.6). Among the options, 90, 86, and 92 are greater than 85.6.