9 students in a group found that their mean score was 86 for the first math test. On the next test, each student in the group scored 7 points higher than on the first text. What was their mean score for the two tests?
Any help would be appreciated.
9 * 86 = 774
9 * 93 = 837
(837 + 774)/18 = ?
Thank you Ms. Sue.
You're welcome, Rose.
To find the mean score for the two tests, we need to calculate the total score for both tests and then divide it by the number of students.
Let's break down the steps:
Step 1: Calculate the total score for the first test.
Since the mean score for the first test is 86, we can multiply it by the number of students to find the total score.
Total score for the first test = 86 * 9 = 774.
Step 2: Calculate the total score for the second test.
Each student scored 7 points higher on the second test than the first test. So, we need to add 7 to each student's score on the first test.
Total score for the second test = (86 + 7) * 9 = 93 * 9 = 837.
Step 3: Calculate the mean score for the two tests.
To calculate the mean score, we need to add the total score for both tests and then divide it by the number of students.
Mean score for the two tests = (Total score for the first test + Total score for the second test) / Number of students
Mean score for the two tests = (774 + 837) / 9 = 1611 / 9 = 179.
Therefore, the mean score for the two tests is 179.