Analyzing Teacher Distribution by City

The question asks us to find the cities where the number of male teachers is greater than the number of female teachers, based on the provided table detailing the percentage distribution of teachers and the number of male teachers in six different cities (A-F). The total number of teachers across all six cities is 4500.

Step-by-Step Calculation of Teachers per City

First, we need to determine the total number of teachers in each city. We can do this by calculating the percentage of the total teachers (4500) that corresponds to each city's distribution percentage.

• City A: $14\%$ of $4500 = \frac{14}{100} \times 4500 = 0.14 \times 4500 = 630$ teachers
• City B: $16\%$ of $4500 = \frac{16}{100} \times 4500 = 0.16 \times 4500 = 720$ teachers
• City C: $28\%$ of $4500 = \frac{28}{100} \times 4500 = 0.28 \times 4500 = 1260$ teachers
• City D: $15\%$ of $4500 = \frac{15}{100} \times 4500 = 0.15 \times 4500 = 675$ teachers
• City E: $21\%$ of $4500 = \frac{21}{100} \times 4500 = 0.21 \times 4500 = 945$ teachers
• City F: $6\%$ of $4500 = \frac{6}{100} \times 4500 = 0.06 \times 4500 = 270$ teachers

Let's verify the total: $630 + 720 + 1260 + 675 + 945 + 270 = 4500$. This matches the given total number of teachers.

Calculating Female Teachers per City

The table provides the number of male teachers in each city. We can find the number of female teachers by subtracting the number of male teachers from the total number of teachers in that city.

• City A: Total Teachers = 630, Male Teachers = 200. Female Teachers = $630 - 200 = 430$.
• City B: Total Teachers = 720, Male Teachers = 400. Female Teachers = $720 - 400 = 320$.
• City C: Total Teachers = 1260, Male Teachers = 600. Female Teachers = $1260 - 600 = 660$.
• City D: Total Teachers = 675, Male Teachers = 100. Female Teachers = $675 - 100 = 575$.
• City E: Total Teachers = 945, Male Teachers = 500. Female Teachers = $945 - 500 = 445$.
• City F: Total Teachers = 270, Male Teachers = 100. Female Teachers = $270 - 100 = 170$.

Comparing Male and Female Teachers

Now, we compare the number of male teachers and female teachers in each city to find where the number of male teachers is more than the number of female teachers.

• City A: Male (200) < Female (430). Male teachers are NOT more than female teachers.
• City B: Male (400) > Female (320). Male teachers ARE more than female teachers.
• City C: Male (600) < Female (660). Male teachers are NOT more than female teachers.
• City D: Male (100) < Female (575). Male teachers are NOT more than female teachers.
• City E: Male (500) > Female (445). Male teachers ARE more than female teachers.
• City F: Male (100) < Female (170). Male teachers are NOT more than female teachers.

Based on the comparison, the cities where the number of male teachers is more than the number of female teachers are City B and City E.

Conclusion

The cities with more male teachers than female teachers are B and E.

Revision Table: Teacher Data Analysis

Additional Information: Data Interpretation Basics

Data interpretation questions often involve tables or charts that present data in a structured format. To solve these questions, you typically need to perform calculations such as percentages, ratios, averages, or simple arithmetic operations like addition and subtraction.

• Understanding Percentages: A percentage is a fraction out of 100. To find a percentage of a total, you multiply the total by the percentage divided by 100 (e.g., $14\%$ of $4500 = \frac{14}{100} \times 4500$).
• Extracting Data: Carefully read the table headers and rows/columns to correctly extract the required information for each category (e.g., City, Percentage, Male Teachers).
• Calculation Steps: Break down the problem into smaller calculation steps. First, find total teachers per city, then find female teachers per city, and finally compare the numbers as required by the question.
• Verification: After performing calculations, especially sums or totals, it's good practice to quickly verify if they add up correctly or match any given totals.

This type of question tests your ability to read data from a table, perform necessary calculations accurately, and apply conditions (like 'more than') to arrive at the correct answer.