The following table shows the number of students admitted (A) and left (L) from the five different colleges (P-T) during the years 2016-2021. Year of foundation of all the five colleges is 2016. Based on the data in the table, answer the questions Year-wise Distribution of Students College P Q R S T Year ↓ A L A L A L A L A L 2016 2250 - 2100 - 2400 - 3200 - 3100 - 2017 660 440 900 500 840 460 880 500 700 450 2018 580 420 650 430 800 500 800 520 760 460 2019 690 400 570 420 720 450 790 440 820 440 2020 760 500 600 380 680 480 840 450 880 420 2021 700 460 680 440 820 560 920 480 850 430
The number of students studying in College Q till 2020 is
The question asks us to find the number of students studying in College Q at the end of the year 2020. We are given a table showing the number of students admitted (A) and left (L) from five different colleges (P-T) between 2016 and 2021. The year of foundation for all colleges is 2016, meaning they started with zero students.
To determine the number of students studying in a college at the end of a specific year, we need to track the changes in student numbers year by year. The number of students at the end of a year is calculated as:
Students at the end of year n = Students at the end of year (n-1) + Students admitted in year n - Students left in year n
Since the colleges were founded in 2016, the number of students at the end of 2015 is 0.
Let's calculate the number of students in College Q year by year until the end of 2020 using the data provided in the table:
| Year | Admitted (A) - College Q | Left (L) - College Q | Students at the end of Year |
|---|---|---|---|
| End of 2015 | - | - | 0 |
| 2016 | 2100 | 0 | $0 + 2100 - 0 = 2100$ |
| 2017 | 900 | 500 | $2100 + 900 - 500 = 2500$ |
| 2018 | 650 | 430 | $2500 + 650 - 430 = 2720$ |
| 2019 | 570 | 420 | $2720 + 570 - 420 = 2870$ |
| 2020 | 600 | 380 | $2870 + 600 - 380 = 3090$ |
Alternatively, we can calculate the total number of students admitted and the total number of students who left College Q from 2016 to 2020.
- Total students admitted in College Q (2016-2020): $2100 + 900 + 650 + 570 + 600 = 4820$
- Total students left from College Q (2016-2020): $0 + 500 + 430 + 420 + 380 = 1730$
The number of students studying in College Q at the end of 2020 is the total number of admissions minus the total number of departures up to that year, since the college started with 0 students.
Number of students studying in College Q till 2020 = Total Admitted (2016-2020) - Total Left (2016-2020)
Number of students studying in College Q till 2020 = $4820 - 1730 = 3090$
Calculating Student Count in College Q
We calculated the student count in College Q at the end of each year from 2016 to 2020 by adding the admissions and subtracting the departures from the previous year's total. This method shows the progression of student numbers.
College Q Student Population 2016-2020
The student population in College Q grew year after year. Starting from 2100 students at the end of 2016, the number increased to 2500 in 2017, 2720 in 2018, 2870 in 2019, and finally reached 3090 at the end of 2020.
Final Student Numbers for College Q
Both methods of calculation (year-by-year tracking and total admissions minus total departures) confirm that the number of students studying in College Q till the end of 2020 is 3090.
Revision Table: College Data Analysis
| Concept | Description | Formula/Method |
|---|---|---|
| Student Count at End of Year | Total number of students enrolled in the college at the conclusion of a specific year. | Students(End of Year n) = Students(End of Year n-1) + Admitted(Year n) - Left(Year n) |
| Total Admissions | Sum of students admitted over a period. | $\sum$ Admitted students for specified years |
| Total Departures | Sum of students who left over a period. | $\sum$ Left students for specified years |
| Net Change in Students | Difference between total admitted and total left over a period. | Total Admissions - Total Departures |
Additional Information: Data Interpretation Skills
Solving questions based on tables like this requires careful data interpretation. Key skills include:
- Reading and understanding the table structure and headings.
- Identifying the specific data points required for the question (e.g., College Q, years 2016-2020, Admitted, Left).
- Performing calculations based on the identified data.
- Understanding cumulative calculations (like tracking student numbers over time).
- Paying attention to details like the starting year or base number of students.
Practicing with different types of data tables improves your ability to quickly and accurately extract information and perform necessary calculations for exam 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?
