The following table presents the details about the number of students enrolled in three different academic programmes namely. B.A., B.C.A. and B.B.A. in five different colleges (A-E) during the year 2020. Based on the data in the table, answer the questions: College-wise enrollment of students College Academic programme B.A. B.C.A. B.B.A. A 275 350 425 B 300 325 475 C 325 300 325 D 450 375 425 E 325 425 225
What is the average number of students studying B.C.A. in all the five colleges together?
Analyzing Student Enrollment Data
The question asks us to calculate the average number of students enrolled in the B.C.A. program across the five different colleges (A, B, C, D, and E) based on the provided table. To find the average, we need to sum the number of B.C.A. students in each college and then divide the total sum by the number of colleges.
| College | B.A. | B.C.A. | B.B.A. |
|---|---|---|---|
| A | 275 | 350 | 425 |
| B | 300 | 325 | 475 |
| C | 325 | 300 | 325 |
| D | 450 | 375 | 425 |
| E | 325 | 425 | 225 |
Calculating the Total Number of B.C.A. Students
First, let's identify the number of students studying B.C.A. in each of the five colleges from the table:
- College A: 350 students
- College B: 325 students
- College C: 300 students
- College D: 375 students
- College E: 425 students
Now, we sum up the number of B.C.A. students from all five colleges:
Total B.C.A. Students = 350 + 325 + 300 + 375 + 425
Total B.C.A. Students = 1775
Calculating the Average Number of B.C.A. Students
The average number of students studying B.C.A. across all five colleges is calculated by dividing the total number of B.C.A. students by the number of colleges (which is 5).
Average = \(\frac{\text{Total number of B.C.A. students}}{\text{Number of colleges}}\)
Average = \(\frac{1775}{5}\)
Average = 355
Therefore, the average number of students studying B.C.A. in all five colleges together is 355.
Summary of Steps
- Identify the number of B.C.A. students in each college from the table.
- Calculate the sum of B.C.A. students across all colleges.
- Divide the total sum by the number of colleges (5) to find the average.
Revision Table: Key Terms and Concepts
| Term | Definition/Concept | Relevance to Question |
|---|---|---|
| Average | The sum of a set of numbers divided by the count of numbers in the set. | The core calculation required to answer the question. |
| Enrollment | The number of students registered in a program or institution. | The data presented in the table relates to student enrollment numbers. |
| Data Interpretation | Analyzing data presented in tables, charts, or graphs to answer questions. | The overall skill being tested by this question. |
| Academic Programme | A specific course of study, e.g., B.A., B.C.A., B.B.A. | The question focuses on the enrollment in one specific program (B.C.A.). |
Additional Information: Understanding Averages
The average, also known as the mean, is a common measure of central tendency. It gives us a single value that represents the typical or central value of a set of numbers. Calculating the average is useful in various contexts, such as finding the average score in a test, the average income, or in this case, the average enrollment in a program across different institutions.
Calculating the average involves two main steps:
- Summation: Adding up all the values in the set.
- Division: Dividing the sum by the total count of values.
Understanding how to calculate and interpret averages is fundamental in data analysis and quantitative aptitude questions.
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?
