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Question

The following table shows the percentage (%) distribution of children in five different villages (V1 to V5) and percentage (%) distribution of children attending school from these five villages. Total number of children in all the five villages is 5800 and total number of children attending school from these five villages is 3600. Based on the data in the table, answer the questions that follow:

Village - wise percentage distribution of children

Village

Percentage Distribution of

Number of children (5800)

Number of children attending school (3600)

V1

16%

15%

V2

24%

28%

V3

11%

14%

V4

18%

21%

V5

31%

22%

What is the total number of children who do not attend school from the village V2 and V3 together?

The correct answer is

518

Solving the Data Interpretation Problem: Children Not Attending School in Villages V2 and V3

This problem requires us to use the provided data table showing the distribution of total children and children attending school across five villages (V1 to V5) to find the number of children who do not attend school in specific villages, namely V2 and V3, combined.

Understanding the Given Data

We are given the following key information:

  • Total number of children in all five villages = 5800
  • Total number of children attending school in all five villages = 3600
  • A table showing the percentage distribution of total children and children attending school for each village.
Village Percentage Distribution of Total Children (out of 5800) Percentage Distribution of Children Attending School (out of 3600)
V1 16% 15%
V2 24% 28%
V3 11% 14%
V4 18% 21%
V5 31% 22%

Calculating Children Not Attending School in Village V2

First, let's find the number of children who do not attend school in village V2.

Step 1: Calculate the total number of children in village V2.

Total children in V2 = Percentage of total children in V2 $\times$ Total number of children

Total children in V2 = $24\%$ of $5800$

Total children in V2 = $\frac{24}{100} \times 5800$

Total children in V2 = $24 \times 58$

Total children in V2 = $1392$

Step 2: Calculate the number of children attending school from village V2.

Children attending school from V2 = Percentage of attending children in V2 $\times$ Total number of children attending school

Children attending school from V2 = $28\%$ of $3600$

Children attending school from V2 = $\frac{28}{100} \times 3600$

Children attending school from V2 = $28 \times 36$

Children attending school from V2 = $1008$

Step 3: Calculate the number of children who do not attend school from village V2.

Children not attending school from V2 = Total children in V2 - Children attending school from V2

Children not attending school from V2 = $1392 - 1008$

Children not attending school from V2 = $384$

Calculating Children Not Attending School in Village V3

Next, let's find the number of children who do not attend school in village V3.

Step 1: Calculate the total number of children in village V3.

Total children in V3 = Percentage of total children in V3 $\times$ Total number of children

Total children in V3 = $11\%$ of $5800$

Total children in V3 = $\frac{11}{100} \times 5800$

Total children in V3 = $11 \times 58$

Total children in V3 = $638$

Step 2: Calculate the number of children attending school from village V3.

Children attending school from V3 = Percentage of attending children in V3 $\times$ Total number of children attending school

Children attending school from V3 = $14\%$ of $3600$

Children attending school from V3 = $\frac{14}{100} \times 3600$

Children attending school from V3 = $14 \times 36$

Children attending school from V3 = $504$

Step 3: Calculate the number of children who do not attend school from village V3.

Children not attending school from V3 = Total children in V3 - Children attending school from V3

Children not attending school from V3 = $638 - 504$

Children not attending school from V3 = $134$

Total Children Not Attending School from V2 and V3

Finally, we find the total number of children who do not attend school from villages V2 and V3 together.

Total children not attending school from V2 and V3 = (Children not attending school from V2) + (Children not attending school from V3)

Total children not attending school from V2 and V3 = $384 + 134$

Total children not attending school from V2 and V3 = $518$

So, the total number of children who do not attend school from villages V2 and V3 together is 518.


Revision Table: Key Calculations for V2 and V3

Village Total Children Children Attending School Children Not Attending School
V2 1392 1008 $1392 - 1008 = 384$
V3 638 504 $638 - 504 = 134$

Total children not attending school from V2 and V3 = $384 + 134 = 518$

Additional Information: Percentage Distribution Concepts

Understanding percentage distribution is crucial for solving data interpretation problems like this one. A percentage distribution shows how a total quantity is divided among different categories. In this case, we have two different total quantities: the total number of children in all villages and the total number of children attending school. The percentages for each village relate to their respective totals.

  • When calculating the number of total children in a village, we use the percentage from the 'Percentage Distribution of Total Children' column and apply it to the 'Total number of children in all the five villages' (5800).
  • When calculating the number of children attending school in a village, we use the percentage from the 'Percentage Distribution of Children Attending School' column and apply it to the 'Total number of children attending school from these five villages' (3600).
  • The number of children not attending school in a village is found by subtracting the number of children attending school from the total number of children in that village.

It's important not to confuse the two percentage columns; they refer to different base totals.

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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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