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.
Answer
Explanation:
Step1: Recall mean formula
The mean (average) of a set of numbers is $\text{Mean}=\frac{\text{Sum of numbers}}{\text{Number of numbers}}$. Here, there will be 4 test - scores in total (3 existing and 1 upcoming). We know the desired mean is 82 and the number of tests is 4. To find out what score is needed on the 4th test, we first need to find out the total number of points needed for an average of 82 over 4 tests.
Step2: Analyze options
- Option 1: Finding the sum of 72 + 97+82 + 82 is incorrect as 82 is the desired mean, not a test - score to be included in the sum for the existing scores.
- Option 2: We already know the scores of the three tests, and finding their average is not the first step to find the score on the 4th test.
- Option 3: Determining the total number of points on the last test is the final step, not the first step.
- Option 4: Since $\text{Mean}=\frac{\text{Sum}}{\text{Number of values}}$, and we want a mean of 82 with 4 values, the first step is to find the total points needed, which is $82\times4$.
Answer:
Determine how many total points are needed to have an average of 82.