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Question

The following table presents data about the number of men, women and children and percentage (%) of overweight men, overweight women and overweight children in a city during the last six years from 2016 to 2021.

Year-wise Distribution of Population in a city

Year

Number of

Percentage (%) of Overweight

Men

Women

Children

Men

Women

Children

2016

27000

19000

7500

15%

36%

30%

2017

37500

32000

10500

7%

35%

28%

2018

31500

30000

6000

30%

25%

35%

2019

33000

27000

8000

16%

30%

30%

2020

35000

34000

10000

12%

27%

32%

2021

39000

37500

22500

37.50%

22%

36%

What was the average of the number of men, women and chlidren who were overweight in the year 2019?

The correct answer is

5260

Analyzing the Population Data for Overweight Individuals

The question asks for the average number of men, women, and children who were overweight in the city during the year 2019. To find this average, we first need to calculate the actual number of overweight individuals in each category (men, women, and children) for the year 2019 using the given percentages and total numbers from the table. Then, we will find the average of these three calculated numbers.

Extracting Data for 2019

Let's look at the data provided in the table specifically for the year 2019:

Year Number of Men Number of Women Number of Children Percentage (%) of Overweight Men Percentage (%) of Overweight Women Percentage (%) of Overweight Children
2019 33000 27000 8000 16% 30% 30%

Calculating the Number of Overweight Individuals in 2019

We will now calculate the number of overweight individuals for each group in 2019 using the formula:

Number of Overweight Individuals = (Percentage of Overweight / 100) × Total Number in Group

  • Overweight Men in 2019:
    The total number of men is 33000, and 16% of them were overweight.
    Number of overweight men = $16\% \text{ of } 33000 = \frac{16}{100} \times 33000$
    Number of overweight men = $0.16 \times 33000 = 5280$
  • Overweight Women in 2019:
    The total number of women is 27000, and 30% of them were overweight.
    Number of overweight women = $30\% \text{ of } 27000 = \frac{30}{100} \times 27000$
    Number of overweight women = $0.30 \times 27000 = 8100$
  • Overweight Children in 2019:
    The total number of children is 8000, and 30% of them were overweight.
    Number of overweight children = $30\% \text{ of } 8000 = \frac{30}{100} \times 8000$
    Number of overweight children = $0.30 \times 8000 = 2400$

Finding the Average Number of Overweight Individuals

Now that we have the number of overweight men, women, and children for 2019, we can find their average. The average of a set of numbers is the sum of the numbers divided by the count of the numbers. In this case, we have three numbers (overweight men, overweight women, and overweight children).

Average = (Number of Overweight Men + Number of Overweight Women + Number of Overweight Children) / 3

Average = $(5280 + 8100 + 2400) / 3$
Average = $15780 / 3$
Average = $5260$

The average number of men, women, and children who were overweight in the year 2019 is 5260.

Comparing with Options

Let's compare our calculated average with the given options:

  • Option 1: 4812
  • Option 2: 5016
  • Option 3: 5395
  • Option 4: 5260

Our calculated average of 5260 matches Option 4.

Revision Table: Key Concepts

Concept Description Formula/Method
Percentage Calculation Finding a part of a whole based on a given percentage. $\text{Value} = (\text{Percentage} / 100) \times \text{Total}$
Average Calculation Finding the central value of a set of numbers. $\text{Average} = \text{Sum of values} / \text{Number of values}$

Additional Information: Data Interpretation Tips

  • Understand the Data: Before starting calculations, always take a moment to understand what the table presents (e.g., population numbers, percentages, years).
  • Identify the Goal: Clearly understand what the question is asking for (e.g., total, average, difference, specific year).
  • Extract Relevant Data: Pull out only the numbers needed for the specific year and categories mentioned in the question. This prevents confusion.
  • Perform Calculations Step-by-Step: Break down complex problems into smaller steps (e.g., calculate individual overweight numbers first, then find the average).
  • Check Units: Be mindful of whether you are dealing with raw numbers, percentages, or averages.
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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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