The points scored on a test for a sample of 36 students are summarized in the following table.Number of students Score for each student7 9015 8014 70Find the mean points scored. Round your answer to the nearest tenth.points
Question
The points scored on a test for a sample of 36 students are summarized in the following table.Number of students Score for each student7 9015 8014 70Find the mean points scored. Round your answer to the nearest tenth.points
Solution
To find the mean points scored, you need to multiply the number of students by the score for each student, add those products together, and then divide by the total number of students.
Here's how you do it:
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Multiply the number of students by the score for each student:
- 7 students scored 90 points each, so that's 7 * 90 = 630 points
- 15 students scored 80 points each, so that's 15 * 80 = 1200 points
- 14 students scored 70 points each, so that's 14 * 70 = 980 points
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Add those products together to get the total points scored:
- 630 + 1200 + 980 = 2810 points
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Divide the total points scored by the total number of students to get the mean points scored:
- 2810 points / 36 students = 78.1 points
So, the mean points scored is approximately 78.1 points.
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