Direction: The following table gives the details of the number of students in Class 10, Section A and B, who had taken the midterm and final exams. Result Section A Section B Total number of students who failed in both the exams 28 23 Number of students who failed in the midterm but passed in the final exam 14 12 Number of students who passed in the midterm but failed in the final exam 6 17 Number of students who passed in both the exams 64 55 Based on the given data, the percentage of Section A students who passed the annual exam is_____.
69.64
Analyse Student Exam Results: Section A Pass Percentage
The question asks us to find the percentage of students in Section A who passed the annual exam. In the context of midterm and final exams, the "annual exam" usually refers to the final exam. We need to determine the total number of students in Section A and the number of students in Section A who passed the final exam based on the provided data table.
| Result | Section A | Section B |
|---|---|---|
| Total number of students who failed in both the exams | 28 | 23 |
| Number of students who failed in the midterm but passed in the final exam | 14 | 12 |
| Number of students who passed in the midterm but failed in the final exam | 6 | 17 |
| Number of students who passed in both the exams | 64 | 55 |
Understanding the Student Data for Section A
Let's focus on the data provided for Section A:
- Students who failed in both the midterm and final exams: 28
- Students who failed the midterm but passed the final exam: 14
- Students who passed the midterm but failed the final exam: 6
- Students who passed in both the midterm and final exams: 64
Identifying Students Who Passed the Annual Exam (Final Exam)
To find the percentage of students who passed the annual exam (which we interpret as the final exam), we need to count all students in Section A who achieved a passing grade in the final exam. This includes two categories of students:
- Students who failed the midterm but passed the final exam.
- Students who passed in both the midterm and final exams.
Students who failed in both exams or passed the midterm but failed the final exam did not pass the final exam.
Step-by-Step Calculation of Section A Pass Percentage
Step 1: Calculate the Total Number of Students in Section A
The total number of students in Section A is the sum of students in all categories:
Total Students in Section A $=$ (Failed both) $+$ (Failed midterm, Passed final) $+$ (Passed midterm, Failed final) $+$ (Passed both)
Total Students in Section A $= 28 + 14 + 6 + 64$
Total Students in Section A $= 112$
Step 2: Calculate the Number of Students in Section A who Passed the Final Exam
The students who passed the final exam are those who failed the midterm but passed the final PLUS those who passed both:
Students Passed Final in Section A $=$ (Failed midterm, Passed final) $+$ (Passed both)
Students Passed Final in Section A $= 14 + 64$
Students Passed Final in Section A $= 78$
Step 3: Calculate the Percentage of Students in Section A who Passed the Annual (Final) Exam
The percentage is calculated using the formula:
Percentage Passed Final $=$ $\left( \frac{\text{Number of students passed final}}{\text{Total number of students}} \right) \times 100$
Percentage Passed Final in Section A $=$ $\left( \frac{78}{112} \right) \times 100$
Now, let's perform the calculation:
$\frac{78}{112} \approx 0.69642857...$
Percentage Passed Final in Section A $\approx 0.69642857... \times 100$
Percentage Passed Final in Section A $\approx 69.642857...$
Rounding to two decimal places, the percentage is approximately 69.64.
Conclusion on Section A Annual Exam Results
Based on the data and calculations, the percentage of Section A students who passed the annual exam (final exam) is approximately 69.64%.
Comparing this result with the given options, we find that 69.64 matches one of the options.
Revision Table: Key Exam Concepts
| Concept | Description |
|---|---|
| Total Students | Sum of all students in a section. |
| Passed Final Exam | Students whose final exam result was a pass. |
| Failed Both Exams | Students who did not pass either the midterm or the final. |
| Percentage | A way to express a part of a whole as a fraction of 100. |
Additional Information: Percentage Calculations in Data Analysis
Percentages are a fundamental tool in data analysis, especially when dealing with proportions or rates, like student pass rates. Calculating percentages helps in comparing different groups or understanding the distribution of outcomes. For instance, comparing the pass percentage of Section A with Section B could give insights into the performance differences between the two sections. This type of analysis is common in educational statistics to evaluate performance and identify areas for improvement.
Similar Questions
What is the average marks of the four students in P?
Direction: A table is given below, study the table carefully and answer the following question.
The given table represents the marks obtained by four students W. X, Y and Z in four subjects P, C, B and M. with the maximum marks in each subject being 100.
Stu/sub
P
C
B
M
W
70
90
50
85
X
55
80
95
60
Y
60
20
90
40
Z
90
80
40
65
The difference between the highest and the lowest percentage (P, C, M and B together) among the four students is:
- The given table represents the marks obtained by four students W, X, Y and Z in four subjects P, C, B and M with the maximum in each subject being 100
Stu/sub
P
C
B
M
W
70
90
50
85
X
55
80
95
60
Y
60
20
90
40
Z
90
80
40
65
Based on the given data. Find W's marks percentage in P, C and B combined together. Based on the given table, the percentage salary increase during the period 2001-2006 was (round off to the nearest integer).
Direction: The given table represents the marks obtained by four students W, X, Y and Z in four subjects P, C, B and M , the maximum marks in each subject being 100.
Stu/sub
P
C
B
M
W
70
90
50
85
X
55
80
95
60
Y
60
20
90
40
Z
90
80
40
65
Based on the given data, the student who got the lowest percentage in P, C, M, and B combined is:
Direction: The given table represents the marks obtained by four students W, X, Y and Z in four subjects P, C, B and M and the maximum marks in each subject being 100.
Stu/sub
P
C
B
M
W
70
90
50
85
X
55
80
95
60
Y
60
20
90
40
Z
90
80
40
65
The average marks of the four students in M is:
The following table shows the gain in weight by 25 children in a year. What is the mean value of gain in weight?
Gain in weight (in kg) No. of children 1.5 4 2 5 2.4 8 3 5 3.2 2 3.4 1 The total percentage of illiterates in all the four cities is _______ (round to one decimal place).
City
Population
Literate
illiterate
% of literate
A
200
150
50
-
B
-
200
100
66.6
C
150
50
100
-
D
120
-
90
25
Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
