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
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?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
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
