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Question

The following table shows population of five villages A-E and percentage distribution of males (M), females (F) and transgenders (T) among them. Based on the data in the table, answer the questions.

Village - wise Distribution of Population

Village

Total Popluation

Distribution (%)

M

F

T

A

12,000

46%

(-)

22%

B

16,000

(-)

33%

27%

C

18,000

32%

36%

(-)

D

24,000

36%

(-)

20%

E

25,000

(-)

30%

25%

Note: In table (-) denotes missing value (%), which is to be computed whenever required. 

What is the difference between number of males and females in Village - A?

The correct answer is

1680

Analyzing Village Population Data

The question asks for the difference between the number of males and females in Village A, based on the provided table showing population distribution.

Understanding the Data for Village A

From the table, we have the following information for Village A:

  • Total Population: 12,000
  • Percentage Distribution:
    • Males (M): 46%
    • Females (F): Missing (-)
    • Transgenders (T): 22%

Calculating the Missing Percentage for Females

The total percentage distribution for males, females, and transgenders in any village must add up to 100%. For Village A, we can calculate the percentage of females:

Percentage of Females = 100% - (Percentage of Males + Percentage of Transgenders)

Percentage of Females = $100\% - (46\% + 22\%)$

Percentage of Females = $100\% - 68\%$

Percentage of Females = $32\%$

Calculating the Number of Males and Females in Village A

Now that we have the percentages, we can calculate the actual number of males and females based on the total population of 12,000.

Number of Males = Percentage of Males $\times$ Total Population

Number of Males = $46\% \text{ of } 12,000$

Number of Males = $\frac{46}{100} \times 12000$

Number of Males = $0.46 \times 12000 = 5520$

Number of Females = Percentage of Females $\times$ Total Population

Number of Females = $32\% \text{ of } 12,000$

Number of Females = $\frac{32}{100} \times 12000$

Number of Females = $0.32 \times 12000 = 3840$

Calculating the Difference

The question asks for the difference between the number of males and females in Village A. This difference is calculated as:

Difference = Number of Males - Number of Females

Difference = $5520 - 3840$

Difference = $1680$

Thus, the difference between the number of males and females in Village A is 1680.

Summary for Village A
Category Percentage Number
Total Population 100% 12,000
Males 46% 5520
Females 32% 3840
Transgenders 22% 2640
Difference (Males - Females) - 1680

Final Answer Verification

The calculated difference is 1680, which matches one of the provided options.

Revision Table: Population Distribution Concepts

Concept Explanation
Total Population The entire number of people in a specific area (e.g., a village).
Percentage Distribution How the total population is divided into different categories (e.g., gender, age) represented as a percentage of the total.
Calculating Number from Percentage To find the actual number for a category, multiply the total population by the percentage (expressed as a decimal or fraction). For example, 46% of 12,000 is $0.46 \times 12000$.
Missing Percentage Calculation If some percentages are given for categories that sum up to a total (like M, F, T summing to total population), the missing percentage is found by subtracting the sum of known percentages from 100%.

Additional Information: Data Interpretation Skills

Solving problems like this requires careful data interpretation from tables. Key skills include:

  • Reading table headers and rows accurately.
  • Identifying the specific data points needed for the question (Village A population, M, F, T percentages).
  • Understanding that percentages within a distribution category sum to 100%.
  • Performing calculations involving percentages and whole numbers.
  • Calculating differences or sums as required by the question.

Practice with different types of data representation (tables, charts, graphs) helps improve these skills, which are crucial for data analysis questions in exams.

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Important Questions from Tabulation

  1. 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?
  2. 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?
  3. 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?
  4. 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:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    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?

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