The problem asks us to calculate the number of graduate females in State A, given the total population of the state and the distribution of population by education level and sex according to the provided table.

Analyzing State A Population Data

Let's first identify the relevant data for State A from the table:

From the table, we see that:

• The total population of State A is given as 1 million.
• The percentage of the population in the Graduate Category in State A is 5%.
• The proportion (ratio) of Males to Females in the Graduate Category in State A is 5:3.

Step-by-Step Calculation for Graduate Females

We need to find the number of females within the Graduate Category population in State A. We can do this in two main steps:

1. Calculate the total number of people in the Graduate Category in State A.
2. Use the male:female ratio for the Graduate Category to find the number of females.

Let's perform the calculation:

1. Total Population of State A:

   Given, the total population of State A is 1 million.

   \[ \text{Total Population} = 1,000,000 \]

2. Number of people in the Graduate Category:

   According to the table, 5% of the population in State A is in the Graduate Category.

   \[ \text{Population in Graduate Category} = 5\% \text{ of } 1,000,000 \] \[ = \frac{5}{100} \times 1,000,000 = 0.05 \times 1,000,000 = 50,000 \]

   So, there are 50,000 people in the Graduate Category in State A.

3. Number of Females in the Graduate Category:

   The male:female ratio for the Graduate Category in State A is 5:3. This means for every 5 males, there are 3 females in this category.

   The total number of parts in the ratio is the sum of the male parts and female parts:

   \[ \text{Total Ratio Parts} = \text{Male Parts} + \text{Female Parts} = 5 + 3 = 8 \]

   The female part of the ratio is 3. To find the number of females, we take the female part divided by the total parts and multiply by the total number of people in the Graduate Category:

   \[ \text{Number of Graduate Females} = \left( \frac{\text{Female Parts}}{\text{Total Ratio Parts}} \right) \times \text{Population in Graduate Category} \] \[ = \left( \frac{3}{8} \right) \times 50,000 \] \[ = 3 \times \left( \frac{50,000}{8} \right) \] \[ = 3 \times 6,250 \] \[ = 18,750 \]

Calculated Number of Graduate Females

Based on the data provided in the table and the total population of State A, the calculated number of graduate females in State A is 18,750.

Comparing Result with Options

The calculated number of graduate females is 18,750. Let's compare this with the given options:

• Option 1: 2,15,000 (215,000)
• Option 2: 2,25,000 (225,000)
• Option 3: 2,30,000 (230,000)
• Option 4: 2,20,000 (220,000)

Our calculated value of 18,750 does not match any of the provided options. It is possible there is an inconsistency in the provided data or options.

However, if we were to assume the percentage of population in the Graduate category for State A was 60% instead of the 5% given in the table, the calculation would be:

This value (225,000) matches Option 2. This suggests a potential error in the percentage value listed for the Graduate Category in State A in the provided table.

Revision Table: Key Concepts Recap

Additional Information: Understanding Population Distribution Tables

Population distribution tables are useful tools for understanding the demographic makeup of an area. They often break down the total population based on various characteristics such as age, sex, education level, occupation, etc.

• Educational Distribution: This shows what proportion of the population has achieved certain levels of education (like 10+2, Graduate, Postgraduate, etc.).
• Sex Ratio: This indicates the number of males per number of females, or simply the ratio of males to females within a specific group or the total population. A ratio like 5:3 means for every 5 males, there are 3 females in that group.
• Combining Data: By using percentages for categories and ratios within those categories, we can drill down into specific subgroups, such as finding the number of females within a particular educational level.

When solving problems involving such tables, it's crucial to carefully read the column headers and understand what each number and ratio represents. The calculations involve applying the percentages to the total population to find the count in a category, and then using the ratio to divide that count into subgroups.