Calculating Average Affected Females by COVID-19

The problem asks us to find the average number of females affected by the 'COVID-19' pandemic across five different cities (A, B, C, D, E) based on the provided data table. The table gives the total number of affected persons in thousands and the ratio of affected male to female for each city.

First, let's understand the data provided in the table:

To find the average number of affected females, we need to follow these steps:

1. Calculate the total number of affected persons for each city by converting the 'thousands' figure into actual numbers.
2. For each city, use the Male : Female ratio to find the number of affected females.
3. Sum up the total number of affected females from all five cities.
4. Divide the total number of affected females by the number of cities (which is 5) to find the average.

Step-by-Step Calculation of Affected Females per City

Let's calculate the number of affected females for each city:

• City A:

  • Total affected persons: $64 \text{ thousands} = 64 \times 1000 = 64,000$
  • Ratio Male : Female: $5 : 3$
  • Sum of ratio parts: $5 + 3 = 8$
  • Number of females affected in City A: $\left(\frac{\text{Female ratio part}}{\text{Total ratio parts}}\right) \times \text{Total affected} = \left(\frac{3}{8}\right) \times 64,000 = 3 \times \frac{64,000}{8} = 3 \times 8,000 = 24,000$

• City B:

  • Total affected persons: $54 \text{ thousands} = 54 \times 1000 = 54,000$
  • Ratio Male : Female: $5 : 4$
  • Sum of ratio parts: $5 + 4 = 9$
  • Number of females affected in City B: $\left(\frac{4}{9}\right) \times 54,000 = 4 \times \frac{54,000}{9} = 4 \times 6,000 = 24,000$

• City C:

  • Total affected persons: $16 \text{ thousands} = 16 \times 1000 = 16,000$
  • Ratio Male : Female: $3 : 1$
  • Sum of ratio parts: $3 + 1 = 4$
  • Number of females affected in City C: $\left(\frac{1}{4}\right) \times 16,000 = 1 \times \frac{16,000}{4} = 1 \times 4,000 = 4,000$

• City D:

  • Total affected persons: $48 \text{ thousands} = 48 \times 1000 = 48,000$
  • Ratio Male : Female: $7 : 5$
  • Sum of ratio parts: $7 + 5 = 12$
  • Number of females affected in City D: $\left(\frac{5}{12}\right) \times 48,000 = 5 \times \frac{48,000}{12} = 5 \times 4,000 = 20,000$

• City E:

  • Total affected persons: $27 \text{ thousands} = 27 \times 1000 = 27,000$
  • Ratio Male : Female: $2 : 1$
  • Sum of ratio parts: $2 + 1 = 3$
  • Number of females affected in City E: $\left(\frac{1}{3}\right) \times 27,000 = 1 \times \frac{27,000}{3} = 1 \times 9,000 = 9,000$

Calculating Total Affected Females

Now, we sum the number of affected females from all five cities:

Total females affected = Females in A + Females in B + Females in C + Females in D + Females in E

Total females affected = $24,000 + 24,000 + 4,000 + 20,000 + 9,000$

Total females affected = $48,000 + 4,000 + 20,000 + 9,000$

Total females affected = $52,000 + 20,000 + 9,000$

Total females affected = $72,000 + 9,000$

Total females affected = $81,000$

Calculating Average Affected Females

Finally, we calculate the average number of affected females by dividing the total by the number of cities (5):

Average females affected = $\frac{\text{Total females affected}}{\text{Number of cities}}$

Average females affected = $\frac{81,000}{5}$

Average females affected = $16,200$

Thus, the average number of females who were affected by 'COVID-19' in all the five cities is 16,200.

Revision Table: COVID-19 Data Analysis

Total Affected Females = 24,000 + 24,000 + 4,000 + 20,000 + 9,000 = 81,000

Average Affected Females = 81,000 / 5 = 16,200

Additional Information on Data Interpretation & Ratios

Data interpretation questions like this one test your ability to understand and analyze information presented in tables, charts, or graphs. They often require calculations involving percentages, averages, and ratios.

Key concepts used here:

• Ratio: A ratio compares two or more quantities. In this case, the ratio 5:3 for Male:Female means that for every 5 affected males, there are 3 affected females. The total number of parts in the ratio is the sum of the individual parts (5 + 3 = 8).
• Finding a Quantity from Ratio: If you know the total quantity and the ratio of its parts, you can find the value of each part. The value of a specific part is calculated as $(\text{Ratio part} / \text{Sum of ratio parts}) \times \text{Total quantity}$. For City A, the female part is 3, total parts are 8, and total quantity is 64,000, so females are $(3/8) \times 64,000$.
• Average: The average (or mean) of a set of numbers is found by summing all the numbers in the set and then dividing the sum by the count of numbers in the set. Here, we summed the number of affected females from 5 cities and divided by 5.

Practicing with different types of data representation and calculations helps improve skills in data interpretation.