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Question

The following table shows the distribution of the number of girls enrolled in three schools A, B and C over the years 2017-2021. Based on the data in the table, answer the question:

Year-wise Enrollment of Girls

Year

Enrollment of Girls in Schools

A

B

C

2017

200

150 

100

2018 

150 

225 

250 

2019 

275

150

199

2020 

250 

300 

200

2021 

300 

250 

275 

Average number of girls enrolled in the year 2019 in all the three schools is:

The correct answer is

208

Understanding Girls Enrollment Data Across Schools

The question asks for the average number of girls enrolled in three schools (A, B, and C) during a specific year, 2019. To find the average, we need to sum the number of girls enrolled in each school for that year and then divide the total sum by the number of schools (which is 3).

First, let's look at the provided table showing the enrollment of girls in schools A, B, and C from 2017 to 2021.

Year Enrollment of Girls in Schools
A B C
2017 200 150 100
2018 150 225 250
2019 275 150 199
2020 250 300 200
2021 300 250 275

Calculating Average Enrollment in 2019

We are interested in the enrollment data for the year 2019. From the table, we can find the number of girls enrolled in each school for this year:

  • School A enrollment in 2019: 275
  • School B enrollment in 2019: 150
  • School C enrollment in 2019: 199

To find the total enrollment in 2019 across all three schools, we add these numbers:

Total enrollment in 2019 = Enrollment in School A + Enrollment in School B + Enrollment in School C

Total enrollment in 2019 = \(275 + 150 + 199\)

Total enrollment in 2019 = \(624\)

Now, to find the average enrollment, we divide the total enrollment by the number of schools, which is 3.

Average enrollment in 2019 = \(\frac{\text{Total enrollment in 2019}}{\text{Number of schools}}\)

Average enrollment in 2019 = \(\frac{624}{3}\)

Average enrollment in 2019 = \(208\)

So, the average number of girls enrolled in the year 2019 in all three schools is 208.

Summary of Calculation Steps

  1. Identify the enrollment figures for the year 2019 for schools A, B, and C from the table.
  2. Sum these enrollment figures to get the total enrollment for 2019.
  3. Divide the total enrollment by the number of schools (3) to find the average.

Following these steps, we calculated the average to be 208.

Revision Table: Key Concepts Reviewed

Concept Definition/Method
Average (Mean) Sum of all values divided by the number of values.
Data Interpretation Analyzing and understanding information presented in tables, charts, etc.
Summation Adding up a set of numbers.

Additional Information: Understanding Averages and Data Tables

An average is a single number that represents the central value of a set of numbers. It gives us an idea of a typical value in the dataset. In this case, the average enrollment in 2019 gives us a single figure that summarizes the enrollment trend across the three schools for that specific year.

Data tables are a structured way to organize information. They typically have rows and columns, where rows often represent categories (like years) and columns represent different variables or entities (like schools). Reading a data table involves identifying the row and column that correspond to the specific data point you are looking for. For example, finding the enrollment in School A in 2019 requires finding the row for '2019' and the column for 'A'.

Calculating averages from tables is a common task in data analysis and interpretation. It helps in comparing different sets of data or understanding overall trends.

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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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