asa received scores of 72, 97, and 82 on her last three math tests. she needs a mean test score of 82 to…

asa received scores of 72, 97, and 82 on her last three math tests. she needs a mean test score of 82 to qualify for the math team. what is the first step in determining how many points she needs on her next test to qualify for the team?\nfind the sum of all the numbers in the problem, 72 + 97 + 82+82.\nfind the average score for the three tests that asa has taken.\ndetermine the total number of points that she needs on the last test.\ndetermine how many total points are needed to have an average of 82

asa received scores of 72, 97, and 82 on her last three math tests. she needs a mean test score of 82 to qualify for the math team. what is the first step in determining how many points she needs on her next test to qualify for the team?\nfind the sum of all the numbers in the problem, 72 + 97 + 82+82.\nfind the average score for the three tests that asa has taken.\ndetermine the total number of points that she needs on the last test.\ndetermine how many total points are needed to have an average of 82

Answer

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $\sum_{i = 1}^{n}x_{i}$ is the sum of data - points and $n$ is the number of data - points. Here, $n = 4$ (three tests already taken and one more to come), and $\bar{x}=82$. To find the score $x_4$ on the fourth test, we first need to find the total sum of points needed for an average of 82 over 4 tests. The total sum of points needed $S$ is given by $S=\bar{x}\times n$. So the first step is to determine how many total points are needed to have an average of 82.

Answer:

Determine how many total points are needed to have an average of 82