Analyzing School Girls Enrollment Data Table

The question asks for the ratio of the number of girls enrolled in School C in the year 2020 to the total number of girls enrolled in School A and School B combined in the same year, based on the provided table showing year-wise enrollment of girls in three schools A, B, and C from 2017 to 2021.

Let's first look at the data provided in the table for the year 2020.

Calculating Enrollment Numbers for the Ratio

We need two values for the ratio calculation for the year 2020:

1. The number of girls enrolled in School C in 2020.
2. The total number of girls enrolled in School A and School B together in 2020.

Step 1: Find Enrollment in School C in 2020

Looking at the row for the year 2020 and the column for School C, we find the number of girls enrolled in School C is 200.

Number of girls in School C (2020) = 200

Step 2: Find Total Enrollment in School A and School B in 2020

Looking at the row for the year 2020, the enrollment in School A is 250 and the enrollment in School B is 300.

Total number of girls in School A and School B (2020) = Enrollment in School A (2020) + Enrollment in School B (2020)

Total number of girls in School A and School B (2020) = \(250 + 300 = 550\)

Calculating and Simplifying the Ratio

Now we need to find the ratio between the number of girls enrolled in School C in the year 2020 and the total number of girls enrolled in School A and School B together in the same year.

The ratio is:

Ratio = (Number of girls in School C in 2020) : (Total number of girls in School A and School B in 2020)

Ratio = \(200 : 550\)

To simplify the ratio, we need to divide both numbers by their greatest common divisor (GCD).

• Both 200 and 550 are divisible by 10.
• \(200 \div 10 = 20\)
• \(550 \div 10 = 55\)
  The ratio becomes \(20 : 55\).
• Both 20 and 55 are divisible by 5.
• \(20 \div 5 = 4\)
• \(55 \div 5 = 11\)
  The simplified ratio is \(4 : 11\).

So, the ratio between the number of girls enrolled in School C in the year 2020 and the total number of girls enrolled in School A and School B together in the same year is \(4 : 11\).

Comparing with Options

Let's check the given options:

• Option 1: \(11 : 3\)
• Option 2: \(3 : 11\)
• Option 3: \(4 : 11\)
• Option 4: \(4 : 7\)

Our calculated ratio \(4 : 11\) matches Option 3.

Revision Table: Key Data Points

Additional Information: Understanding Ratios in Data Analysis

A ratio is a way to compare two or more quantities. It shows the relative size of one value compared to another. Ratios are often used in data analysis to provide context or make comparisons easier.

Key points about ratios:

• Ratios can be written using a colon (a : b), as a fraction (\(\frac{a}{b}\)), or with the word "to" (a to b).
• Ratios should typically be simplified to their lowest terms, just like fractions, by dividing all parts of the ratio by their greatest common divisor.
• In the context of enrollment data, ratios can help compare the size of different schools, the distribution of students across different categories (like gender), or changes over time relative to other figures.
• Understanding how to extract specific data points from a table and perform basic calculations like sums and ratios is fundamental for data interpretation questions.