Let's analyze the given data step by step to find the number of affected males in City 'D' within the age group of 21-30 years due to the 'COVID-19' pandemic.

Analyzing COVID-19 Affected Persons Data for City D

The table provides the number of persons affected by 'COVID-19' in different cities and the ratio of affected male to female.

For City 'D', we are given:

• Total number of affected persons: 48 Thousands
• Ratio of affected Male : Female: 7 : 5

First, let's convert the total number of affected persons in City 'D' from thousands to the actual number:

Total affected persons in City 'D' $= 48 \text{ Thousands} = 48 \times 1000 = 48000$

Calculating the Number of Affected Males in City D

The ratio of affected Male to Female in City 'D' is 7:5. This means that out of every \(7+5 = 12\) parts of affected persons, 7 parts are male and 5 parts are female.

To find the number of affected males, we use the ratio:

Number of affected males in City 'D' $= \left( \frac{\text{Ratio of Male}}{\text{Total parts in ratio}} \right) \times \text{Total affected persons in City 'D'}$

Number of affected males in City 'D' $= \left( \frac{7}{7+5} \right) \times 48000$

Number of affected males in City 'D' $= \left( \frac{7}{12} \right) \times 48000$

Now, we calculate the value:

\( \frac{7}{12} \times 48000 = 7 \times \frac{48000}{12} = 7 \times 4000 = 28000 \)

So, the total number of affected males in City 'D' is 28,000.

Determining Age Distribution of Affected Males in City D

We are given the percentages of affected males in different age groups in City 'D':

• Age group 21-25 years: \( 16 \frac{2}{3} \% \)
• Age group 26-30 years: \( 33 \frac{1}{3} \% \)
• Age group above 30 years: The rest

We need to find the total number of males in the age group 21-30 years. This includes males in the 21-25 years group and males in the 26-30 years group.

Calculating Percentage in Age Group 21-30 Years

Let's convert the given mixed percentages into fractions or decimals.

\( 16 \frac{2}{3} \% = \frac{16 \times 3 + 2}{3} \% = \frac{50}{3} \% \)

To convert a percentage to a fraction, we divide by 100:

\( \frac{50}{3} \% = \frac{50}{3 \times 100} = \frac{50}{300} = \frac{1}{6} \)

So, \( 16 \frac{2}{3} \% \) of affected males are in the 21-25 age group.

Next, let's convert the second percentage:

\( 33 \frac{1}{3} \% = \frac{33 \times 3 + 1}{3} \% = \frac{100}{3} \% \)

\( \frac{100}{3} \% = \frac{100}{3 \times 100} = \frac{100}{300} = \frac{1}{3} \)

So, \( 33 \frac{1}{3} \% \) of affected males are in the 26-30 age group.

The total percentage of affected males in the age group 21-30 years is the sum of the percentages for the 21-25 group and the 26-30 group:

Total percentage (21-30 years) $= 16 \frac{2}{3} \% + 33 \frac{1}{3} \% = \frac{1}{6} + \frac{1}{3}$

To add the fractions, find a common denominator (which is 6):

\( \frac{1}{6} + \frac{1}{3} = \frac{1}{6} + \frac{1 \times 2}{3 \times 2} = \frac{1}{6} + \frac{2}{6} = \frac{1+2}{6} = \frac{3}{6} = \frac{1}{2} \)

So, 1/2 or 50% of the affected males in City 'D' are in the age group 21-30 years.

Finding the Number of Affected Males in Age Group 21-30 Years

Now we calculate the number of affected males in this age group by applying the total percentage to the total number of affected males in City 'D'.

Number of affected males (21-30 years) = Total affected males in City 'D' $\times$ Total percentage (21-30 years)

Number of affected males (21-30 years) $= 28000 \times \frac{1}{2}$

\( 28000 \times \frac{1}{2} = \frac{28000}{2} = 14000 \)

Therefore, the total number of males from City 'D' who are affected by 'COVID-19' having age of 21-30 years is 14,000.

Summary of Affected Males in City D (21-30 Years)

Based on the calculations, the total number of males affected by 'COVID-19' in City 'D' who are in the age group 21-30 years is 14,000.

Revision Table: COVID-19 Data Analysis

Here's a quick review of key concepts used in this problem.

• Ratio: A comparison of two or more quantities. A ratio A:B means that for every A units of the first quantity, there are B units of the second quantity. The total number of parts is A+B.
• Percentage: A way of expressing a number as a fraction of 100. \( x \% = \frac{x}{100} \).
• Mixed Fraction Percentage: A percentage expressed using a mixed number, like \( 16 \frac{2}{3} \% \). It must be converted to an improper fraction or decimal for calculation.
• Data Interpretation: Analyzing data presented in tables, charts, or graphs to extract meaningful information and answer questions based on it.

Additional Information: Understanding Data Tables and Ratios

Data tables are a common way to organize information, making it easier to compare and analyze data points across different categories. In this case, the table presents data about the 'COVID-19' pandemic across multiple cities.

Ratios are fundamental in dividing a total quantity into parts based on a given proportion. When a total quantity is divided according to a ratio A:B, the first quantity gets \( \frac{A}{A+B} \) of the total, and the second quantity gets \( \frac{B}{A+B} \) of the total.

Percentages are useful for understanding proportions relative to a whole. In this problem, percentages are used to show the proportion of affected males within specific age groups relative to the total affected males in City 'D'. Converting percentages to fractions or decimals often simplifies calculations, especially when dealing with fractions like \( \frac{1}{6} \) or \( \frac{1}{3} \).