Solved on Feb 05, 2024
Find the mean score of students with scores , students with scores , and students with scores . Round the answer to at least one decimal place.
STEP 1
Assumptions
1. The number of students and their corresponding scores are given in the table.
2. The mean score is calculated by dividing the sum of all scores by the total number of students.
3. The scores are weighted by the number of students who achieved them.
STEP 2
Calculate the total score for each group of students by multiplying the number of students by their respective score.
STEP 3
Calculate the total score for the students who scored 90.
STEP 4
Calculate the total score for the students who scored 80.
STEP 5
Calculate the total score for the students who scored 70.
STEP 6
Add up all the total scores to get the combined total score.
STEP 7
Calculate the combined total score.
STEP 8
Calculate the combined total score.
STEP 9
Calculate the total number of students by adding the number of students in each score group.
STEP 10
Calculate the total number of students.
STEP 11
Now, calculate the mean score by dividing the combined total score by the total number of students.
STEP 12
Plug in the values for the combined total score and the total number of students to calculate the mean score.
STEP 13
Calculate the mean score.
STEP 14
Round the mean score to at least one decimal place.
The mean score is approximately 78.1.
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