Question

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?
find the sum of all the numbers in the problem, 72 + 97 + 82+82.
find the average score for the three tests that asa has taken.
determine the total number of points that she needs on the last test.
determine how many total points are needed to have an average of 82

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