This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?

90
94
88
92

~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~

Step-by-step explanation:

1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88

2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:

92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)

3. Now let us solve this equation for x through simple algebra ⇒

92 + 96 + 94 + 88 + x/ 5 =  92 ⇒

370 + x/5 = 92 ⇒

x/5 + 74 = 92 ⇒

x/5 = 18

x = 90

4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes