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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 difference between the number of overweight women and overweight children together in the year 2018 and the number of overweight men in the same year?

The correct answer is

150

Understanding the Data Table

The question asks us to analyze the provided table, which contains data on the population distribution by men, women, and children, as well as the percentage of overweight individuals within each category, across different years from 2016 to 2021. We need to focus specifically on the data for the year 2018 to answer the question.

Calculating Overweight Population in 2018

To find the difference between the number of overweight women and overweight children combined and the number of overweight men in the year 2018, we first need to calculate the exact number of overweight individuals in each category for that year.

Category Total Population (2018) Percentage Overweight (2018)
Men 31500 30%
Women 30000 25%
Children 6000 35%

Let's calculate the number of overweight individuals for each category in 2018:

  • Overweight Men in 2018:

The number of men in 2018 is 31500, and 30% of them are overweight.

Number of overweight men = $\text{30% of } 31500$

Number of overweight men = $\frac{30}{100} \times 31500$

Number of overweight men = $0.30 \times 31500 = 9450$

  • Overweight Women in 2018:

The number of women in 2018 is 30000, and 25% of them are overweight.

Number of overweight women = $\text{25% of } 30000$

Number of overweight women = $\frac{25}{100} \times 30000$

Number of overweight women = $0.25 \times 30000 = 7500$

  • Overweight Children in 2018:

The number of children in 2018 is 6000, and 35% of them are overweight.

Number of overweight children = $\text{35% of } 6000$

Number of overweight children = $\frac{35}{100} \times 6000$

Number of overweight children = $0.35 \times 6000 = 2100$

Finding the Difference in Overweight Population (2018)

The question asks for the difference between the number of overweight women and overweight children together and the number of overweight men in 2018.

First, let's find the combined number of overweight women and children in 2018:

Overweight women + Overweight children = $7500 + 2100 = 9600$

Now, we find the difference between this combined number and the number of overweight men in 2018:

Difference = (Overweight women + Overweight children) - Overweight men

Difference = $9600 - 9450 = 150$

The difference between the number of overweight women and overweight children together and the number of overweight men in the year 2018 is 150.

Revision Table - Data Interpretation

Year Men (Overweight) Women (Overweight) Children (Overweight) Overweight Women + Children Difference (W+C) - M
2018 9450 7500 2100 9600 150

Additional Information - Percentage Calculations

Calculating a percentage of a number is a fundamental skill in data interpretation. To find 'X% of Y', you can use the formula:

Result = $\frac{X}{100} \times Y$

Alternatively, you can convert the percentage to a decimal by dividing by 100 (e.g., 30% = 0.30) and then multiply by the number:

Result = (Decimal equivalent of X%) $\times Y$

This technique was used repeatedly in the solution to find the number of overweight individuals in each category for the year 2018.

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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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