The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz Scores ||| 6 Score 7 a) How many students took the math quiz? 1₁ 10 b) What percentage of the students scored 3 points (round to one decimal place)? c) If a grade of 6 or more was needed to pass the quiz what percentage of the student's passed? (Round your answer to the nearest tenth of a percent.) % %
The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz Scores ||| 6 Score 7 a) How many students took the math quiz? 1₁ 10 b) What percentage of the students scored 3 points (round to one decimal place)? c) If a grade of 6 or more was needed to pass the quiz what percentage of the student's passed? (Round your answer to the nearest tenth of a percent.) % %
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
**Graph Explanation:**
- The bar graph titled "Quiz Scores" illustrates the frequency of scores that students received on a 10-point math quiz.
- The horizontal axis (x-axis) represents the scores ranging from 3 to 10.
- The vertical axis (y-axis) indicates the frequency of students achieving each score, ranging from 0 to 10.
**Detailed Breakdown:**
- **Score of 3:** 7 students
- **Score of 4:** 9 students
- **Score of 5:** 7 students
- **Score of 6:** 7 students
- **Score of 7:** 8 students
- **Score of 8:** 3 students
- **Score of 9:** 5 students
- **Score of 10:** 4 students
**Questions & Solutions:**
a) How many students took the math quiz?
**Solution:**
To find the total number of students, sum the frequencies of all scores.
Total students = 7 + 9 + 7 + 7 + 8 + 3 + 5 + 4 = **50** students
b) What percentage of the students scored 3 points (round to one decimal place)?
**Solution:**
First, find the number of students who scored 3 points, which is 7. The total number of students is 50.
Percentage = (Number of students scoring 3 / Total number of students) * 100
Percentage = (7 / 50) * 100 = 14.0%
c) If a grade of 6 or more was needed to pass the quiz, what percentage of the students passed? (Round your answer to the nearest tenth of a percent.)
**Solution:**
First, find the number of students who scored 6 or more points.
- Score of 6: 7 students
- Score of 7: 8 students
- Score of 8: 3 students
- Score of 9: 5 students
- Score of 10: 4 students
Number of students passing = 7 + 8 + 3 + 5 + 4 = 27
Percentage of students passing = (Number of students passing / Total number of students) * 100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c391162-9195-45f3-90d3-bf22c5f933af%2Ffb00aba3-7e4c-4f04-9e79-5eb9764628d9%2Fcsxfoq_processed.png&w=3840&q=75)
Transcribed Image Text:**Quiz Scores Analysis**
The Bar graph below describes the scores of a group of students on a 10-point math quiz.
**Graph Explanation:**
- The bar graph titled "Quiz Scores" illustrates the frequency of scores that students received on a 10-point math quiz.
- The horizontal axis (x-axis) represents the scores ranging from 3 to 10.
- The vertical axis (y-axis) indicates the frequency of students achieving each score, ranging from 0 to 10.
**Detailed Breakdown:**
- **Score of 3:** 7 students
- **Score of 4:** 9 students
- **Score of 5:** 7 students
- **Score of 6:** 7 students
- **Score of 7:** 8 students
- **Score of 8:** 3 students
- **Score of 9:** 5 students
- **Score of 10:** 4 students
**Questions & Solutions:**
a) How many students took the math quiz?
**Solution:**
To find the total number of students, sum the frequencies of all scores.
Total students = 7 + 9 + 7 + 7 + 8 + 3 + 5 + 4 = **50** students
b) What percentage of the students scored 3 points (round to one decimal place)?
**Solution:**
First, find the number of students who scored 3 points, which is 7. The total number of students is 50.
Percentage = (Number of students scoring 3 / Total number of students) * 100
Percentage = (7 / 50) * 100 = 14.0%
c) If a grade of 6 or more was needed to pass the quiz, what percentage of the students passed? (Round your answer to the nearest tenth of a percent.)
**Solution:**
First, find the number of students who scored 6 or more points.
- Score of 6: 7 students
- Score of 7: 8 students
- Score of 8: 3 students
- Score of 9: 5 students
- Score of 10: 4 students
Number of students passing = 7 + 8 + 3 + 5 + 4 = 27
Percentage of students passing = (Number of students passing / Total number of students) * 100
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