Result Section A Section B Section C Section D Students failed in both exams 28 23 17 27 Students failed in half-yearly but passed in annual exams 14 12 8 13 Students passed in half-yearly but failed in annual exams 6 17 9 15 Students passed in both exams 64 55 46 76
Class IX Exam Difficulty Comparison
To compare the difficulty levels of the Half-yearly and Annual examinations, we analyze the total number of students who passed or failed each exam across all sections (A, B, C, D).
Student Performance Data for Exam Comparison
| Category | Section A | Section B | Section C | Section D | Total |
|---|---|---|---|---|---|
| Students failed in both exams | 28 | 23 | 17 | 27 | 95 |
| Students failed in half-yearly, passed annual | 14 | 12 | 8 | 13 | 47 |
| Students passed half-yearly, failed annual | 6 | 17 | 9 | 15 | 47 |
| Students passed in both exams | 64 | 55 | 46 | 76 | 241 |
| Total Students Per Section | 112 | 107 | 80 | 131 | 430 |
Pass and Fail Counts Analysis
We aggregate the counts to compare the performance in each exam:
- Total students passing Half-Yearly Exam = (Passed Half-Yearly, Failed Annual) + (Passed Both)
= 47 + 241 = 288 students. - Total students passing Annual Exam = (Failed Half-Yearly, Passed Annual) + (Passed Both)
= 47 + 241 = 288 students. - Total students failing Half-Yearly Exam = (Failed Both) + (Failed Half-Yearly, Passed Annual)
= 95 + 47 = 142 students. - Total students failing Annual Exam = (Failed Both) + (Passed Half-Yearly, Failed Annual)
= 95 + 47 = 142 students.
Exam Difficulty Conclusion
The total number of students who passed the Half-yearly exam (288) is identical to the total number who passed the Annual exam (288). Likewise, the total number of students who failed the Half-yearly exam (142) is the same as the total number who failed the Annual exam (142). This consistency in outcomes indicates that both examinations had approximately the same difficulty level.
Important Questions from Tabulation
Table shows income (in Rs.) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38000
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?The table given below shows the GDP of two countries in different five years.
Country Years A B Y1 175 285 Y2 200 300 Y3 150 125 Y4 75 85 Y5 50 95 K1 = The value of average GDP of country A in all the 5 years.
K2 = The value of average GDP of country B in all the 5 years.
What is the value of (K1 + K2)?
Study the Table Properly and answer by interpreting the data
The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females.
District Percentage of population
below poverty levelProportion of Male and Female Below poverty line (M:F) Above poverty Line (M:F) D1 15 2 : 3 3 : 2 D2 18 3 : 4 7 : 5 D3 20 2 : 5 3 : 4 D4 25 5 : 2 4 : 3 D5 12 3 : 7 2 : 7 If the total population in the district D3 is 40,000, then what is the population of below poverty line in the district D3, ?
The table given below shows the marks obtained by 4 students in 5 subjects. The maximum marks of each subject is 100.
Subjects
Students
P1
P2
P3
P4
S1
89
100
92
91
S2
62
52
72
37
S3
57
55
70
65
S4
76
85
76
58
S5
85
70
66
62
What is the total percent marks of P4?
The data given below shows the number of people who have saved a certain amount of money.
Savings
(in Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the mode of the given data?
