The following table shows the total number of students in the Department of the Institute along with the percentage of Females and Male students. Total No. of Students Percentage of Female Percentage of MaleDepartment Computer 840 45 55 Civil 220 35 65 Mechanical 900 23 77 Electrical 360 65 35 Electronics 450 44 56 Mining 540 40 60
What is the ratio of the number of females in the Civil and Electrical departments together to the number of males in the same Departments together?
311 : 269
Calculating Ratio of Females to Males in Departments
This question asks for the ratio of the total number of female students in the Civil and Electrical departments combined to the total number of male students in the same departments combined, based on the provided table data.
First, let's understand the data provided in the table:
| Department | Total No. of Students | Percentage of Female | Percentage of Male |
|---|---|---|---|
| Computer | 840 | 45 | 55 |
| Civil | 220 | 35 | 65 |
| Mechanical | 900 | 23 | 77 |
| Electrical | 360 | 65 | 35 |
| Electronics | 450 | 44 | 56 |
| Mining | 540 | 40 | 60 |
We need to focus on the Civil and Electrical departments.
Calculate Number of Female Students
Let's calculate the number of female students in each of these departments:
- Civil Department Females: The total number of students is 220, and 35% are female.
Number of females in Civil $= 220 \times \frac{35}{100}$
Number of females in Civil $= 2.2 \times 35$
Number of females in Civil $= 77$
- Electrical Department Females: The total number of students is 360, and 65% are female.
Number of females in Electrical $= 360 \times \frac{65}{100}$
Number of females in Electrical $= 3.6 \times 65$
Number of females in Electrical $= 234$
Total number of females in Civil and Electrical departments combined:
Total Females $= 77 + 234 = 311$
Calculate Number of Male Students
Next, let's calculate the number of male students in each of these departments:
- Civil Department Males: The total number of students is 220, and 65% are male.
Number of males in Civil $= 220 \times \frac{65}{100}$
Number of males in Civil $= 2.2 \times 65$
Number of males in Civil $= 143$
- Electrical Department Males: The total number of students is 360, and 35% are male.
Number of males in Electrical $= 360 \times \frac{35}{100}$
Number of males in Electrical $= 3.6 \times 35$
Number of males in Electrical $= 126$
Total number of males in Civil and Electrical departments combined:
Total Males $= 143 + 126 = 269$
Determine the Ratio
The question asks for the ratio of the number of females in the Civil and Electrical departments together to the number of males in the same departments together.
Ratio = Total Females : Total Males
Ratio $= 311 : 269$
The ratio of the number of females in the Civil and Electrical departments together to the number of males in the same Departments together is 311 : 269.
Ratio Calculation Summary
| Department | Total Students | Female % | Male % | Number of Females | Number of Males |
|---|---|---|---|---|---|
| Civil | 220 | 35% | 65% | $220 \times \frac{35}{100} = 77$ | $220 \times \frac{65}{100} = 143$ |
| Electrical | 360 | 65% | 35% | $360 \times \frac{65}{100} = 234$ | $360 \times \frac{35}{100} = 126$ |
| Total (Civil + Electrical) | $77 + 234 = 311$ | $143 + 126 = 269$ |
The required ratio is $311 : 269$.
Revision Table: Key Data Interpretation Concepts
| Concept | Description | How it applies here |
|---|---|---|
| Percentage Calculation | Finding a part of a total based on a given percentage: $\text{Part} = \text{Total} \times \frac{\text{Percentage}}{100}$ | Used to find the number of females and males from total students and their respective percentages. |
| Data Extraction | Identifying and pulling out specific data points relevant to the question from a larger dataset (like a table). | Extracting total students, female percentage, and male percentage for Civil and Electrical departments. |
| Aggregation | Summing up calculated values for different categories to get a combined total. | Summing up females from Civil and Electrical departments, and males from Civil and Electrical departments. |
| Ratio Calculation | Expressing the relationship between two quantities as a fraction or with a colon (:). Ratio of A to B is A : B. | Forming the ratio of total females (Civil + Electrical) to total males (Civil + Electrical). |
Additional Information: Understanding Ratios and Percentages in Data
Data interpretation questions often involve working with percentages and ratios derived from tables or charts. A percentage is a way to express a part of a whole as a fraction of 100. A ratio is a comparison of two numbers indicating how many times one number contains the other. In this problem, we used percentages to find the actual counts of students based on the total, and then formed a ratio to compare the combined counts of females and males from specific departments.
When working with data tables:
- Read the question carefully to understand exactly which data points are needed.
- Identify the relevant rows and columns in the table.
- Perform calculations step-by-step, first finding individual values (like number of females in Civil) and then combining them as required by the question.
- Ensure the ratio is expressed in the correct order (e.g., females to males, not males to females).
Practice with different types of data interpretation questions, including those involving averages, percentages, ratios, and growth rates, is crucial for exam preparation.
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?
