roblems, the terms mean and average refer to the arithmetic mean, unless otherwise stated. Simone's average score for seven tests is 82 points. If she scores 90 points on her eighth est, what is the average of all eight test scores?
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
The Deep Dive
To find Simone's new average after scoring 90 on her eighth test, we first calculate the total score from her seven tests. Since the average is 82, the sum is 82 × 7 = 574. Adding her eighth test score of 90 gives a total score of 574 + 90 = 664. Then, we divide by the new total number of tests, which is 8: 664 ÷ 8 = 83. So, her new average is 83 points! To help you cement this concept, consider how averages can shift with every new data point. A single score that's significantly higher or lower than the current average can pull the average up or down. It's a great reminder that averages are "mean," but they can dance around with a bit of data change!