Understanding the Teacher Distribution Data

The question provides a table showing the percentage distribution of teachers across six cities (A to F) and the number of male teachers in each city. The total number of teachers across all cities is given as 4500. We need to find the difference between the total number of teachers in City E and the number of female teachers in City F.

Step 1: Calculate the Total Number of Teachers in City E

The total number of teachers in all six cities is 4500. City E has 21% of the total teachers.

Total teachers in City E = 21% of 4500

Using the percentage formula:

$\text{Total teachers in City E} = \frac{21}{100} \times 4500$

$\text{Total teachers in City E} = 21 \times 45$

$\text{Total teachers in City E} = 945$

So, there are 945 teachers in City E.

Step 2: Calculate the Total Number of Teachers in City F

City F has 6% of the total teachers.

Total teachers in City F = 6% of 4500

$\text{Total teachers in City F} = \frac{6}{100} \times 4500$

$\text{Total teachers in City F} = 6 \times 45$

$\text{Total teachers in City F} = 270$

So, there are 270 teachers in City F.

Step 3: Calculate the Number of Female Teachers in City F

The table gives the number of male teachers in City F as 100. The total number of teachers in City F is 270 (from Step 2).

The number of female teachers is the total number of teachers minus the number of male teachers.

Number of female teachers in City F = Total teachers in City F - Number of male teachers in City F

$\text{Number of female teachers in City F} = 270 - 100$

$\text{Number of female teachers in City F} = 170$

So, there are 170 female teachers in City F.

Step 4: Calculate the Difference

We need to find the difference between the total number of teachers in City E and the number of female teachers in City F.

Difference = Total teachers in City E - Female teachers in City F

$\text{Difference} = 945 - 170$

$\text{Difference} = 775$

The difference is 775.

Summary of Calculations

• Total Teachers in City E: 945
• Total Teachers in City F: 270
• Male Teachers in City F: 100
• Female Teachers in City F: $270 - 100 = 170$
• Difference: $945 - 170 = 775$

The difference between the total number of teachers in City E and the number of female teachers in City F is 775.

Revision Table: Data Interpretation Key Terms

Additional Information: Solving Data Interpretation Questions

Data interpretation questions often involve analyzing tables, charts, or graphs to extract specific information and perform calculations based on the data. Here are some tips:

• Read the question carefully to understand what is being asked. Identify the specific cities, categories (like male/female), and quantities needed.
• Understand the data presented in the table or chart. Note the total values and how percentages or ratios are applied.
• Break down the problem into smaller steps. Calculate intermediate values if necessary (like total teachers per city or number of female teachers).
• Use formulas for percentages or ratios correctly. Remember that percentage means 'out of 100'.
• Perform calculations accurately. Double-check your arithmetic.
• Units are important, but in this case, the unit is simply 'teachers'.
• Compare your final answer with the given options.

This question required calculating quantities based on percentages and then finding a difference between two calculated values.