Analyzing City Population and Overweight Data for 2021

The question asks us to determine the number of overweight men in the year 2021 as a percentage of the number of men who were not overweight in the same year, based on the provided table data.

Data Extraction for 2021

First, let's extract the relevant data for the year 2021 from the table:

• Total number of men in 2021: 39000
• Percentage of overweight men in 2021: 37.50%

Calculation of Overweight Men in 2021

To find the number of overweight men in 2021, we use the total number of men and the percentage of overweight men:

Number of Overweight Men $= \text{Total Men} \times \frac{\text{Percentage of Overweight Men}}{100}$

Number of Overweight Men $= 39000 \times \frac{37.50}{100}$

Number of Overweight Men $= 39000 \times 0.375$

Number of Overweight Men $= 14625$

So, there were 14625 overweight men in the year 2021.

Calculation of Non-Overweight Men in 2021

The number of men who were not overweight is the total number of men minus the number of overweight men:

Number of Non-Overweight Men $= \text{Total Men} - \text{Number of Overweight Men}$

Number of Non-Overweight Men $= 39000 - 14625$

Number of Non-Overweight Men $= 24375$

Thus, there were 24375 non-overweight men in the year 2021.

Calculating the Required Percentage

We need to find what percentage the number of overweight men is of the number of non-overweight men. The formula for this percentage is:

Required Percentage $= \frac{\text{Number of Overweight Men}}{\text{Number of Non-Overweight Men}} \times 100$

Required Percentage $= \frac{14625}{24375} \times 100$

Let's simplify the fraction $\frac{14625}{24375}$:

Both numbers are divisible by 25:

$\frac{14625 \div 25}{24375 \div 25} = \frac{585}{975}$

Both numbers are divisible by 75:

$\frac{585 \div 75}{975 \div 75} = \frac{7.8}{13}$ (This isn't a nice integer ratio, let's try another divisor)

Let's go back to $\frac{585}{975}$ and divide by 5:

$\frac{585 \div 5}{975 \div 5} = \frac{117}{195}$

Both numbers are divisible by 3:

$\frac{117 \div 3}{195 \div 3} = \frac{39}{65}$

Both numbers are divisible by 13:

$\frac{39 \div 13}{65 \div 13} = \frac{3}{5}$

So, $\frac{14625}{24375} = \frac{3}{5}$.

Now, substitute this back into the percentage calculation:

Required Percentage $= \frac{3}{5} \times 100$

Required Percentage $= 0.6 \times 100$

Required Percentage $= 60\%$

Summary of Calculation

In 2021:

• Total men = 39000
• Overweight men = 37.5% of 39000 = 14625
• Non-overweight men = 39000 - 14625 = 24375
• Overweight men as a percentage of non-overweight men = $\frac{14625}{24375} \times 100 = \frac{3}{5} \times 100 = 60\%$

The number of overweight men in the year 2021 was 60% of the number of men who were not overweight in the same year.

Revision Table: Key Concepts

Additional Information: Population Data Analysis

Analyzing population data from tables like this involves several common types of calculations and interpretations:

• Calculating Absolute Numbers: Converting percentages back into actual counts (e.g., finding the number of overweight men from the percentage).
• Calculating Proportions/Ratios: Comparing one part of the population to another part or to the total population. This question asks for a ratio of one part (overweight) to another part (non-overweight).
• Finding Totals: Summing up different categories (e.g., total population = men + women + children).
• Calculating Changes Over Time: Comparing data for the same category across different years to find increases or decreases.
• Comparing Different Categories: Comparing the number or percentage of men, women, or children in a specific year.

These types of analyses help understand demographic trends, health statistics, and population distribution within a city over time.