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Let's break down the information given in the image and address the problems one by one.

### Table of Literacy Data (Referring to questions 16-19):
The table contains data on 5 regions regarding their literate populations, total populations, and literacy rates. The data for Region E and the entire country includes some unknowns, represented by "X," "Y," and "Z."

### Question 16: 
- **Median Literacy Rate of the Regions**  
   The literacy rates for the regions are as follows:
   - Region A: 64%
   - Region B: 60%
   - Region C: 55%
   - Region D: 70%
   - Region E: 81%
   
   To find the median, we sort the percentages: 55%, 60%, 64%, 70%, 81%. The median is the middle value, which is **64%**.

   - **Answer**: C) 64%

### Question 17:
- **Population Increase in Region B**  
   Region B now has a literate population of 18,000,000 and a literacy rate of 70%. The previous population was 13,800,000.  
   Let's calculate the total population now:
   - 70% of the total population is 18,000,000. Let the total population be \( P \).
   - \( 0.7P = 18,000,000 \)
   - \( P = \frac{18,000,000}{0.7} = 25,714,285 \)

   The increase in population is:
   \[
   25,714,285 - 23,000,000 = 2,714,285
   \]

   Rounding this gives us about **2,700,000**.

   - **Answer**: B) 2,700,000

### Question 18:
- **Region C's Increase in Literate Population Over 10 Years**  
   Region C wants to increase its literacy rate by 10% over 10 years, aiming for an increase of 1% per year.  
   The current literate population is 2,100,000, and the current total population is 4,000,000. A 1% increase each year means adding 1% of 4,000,000 (since the population is assumed to stay constant), which is:
   \[
   1\% \text{ of } 4,000,000 = 0.01 \times 4,000,000 = 40,000
   \]

   So, Region C hopes to gain 40,000 literate people each year.

   - **Answer**: B) 40,000

### Question 19:
- **Closest Estimate for Literacy Rate of the Entire Country**
   To calculate this, we would need the total literate population and total population. The entire country has a literate population of 51,600,000. To find the literacy rate, we calculate:
   \[
   \text{Literacy Rate } Z = \frac{\text{Literate Population}}{\text{Total Population}} \times 100 = \frac{51,600,000}{Y} \times 100
   \]

   Since this question involves estimating \( Z \), we look at the average of the regions' rates. The overall rate is likely closest to **67%** based on the other regions' data.

   - **Answer**: B) 67%

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Would you like to go over any specific question in more detail? Here are five related questions that expand on this:

1. How do we calculate the average literacy rate for a population?
2. What is the difference between the median and mean literacy rates in statistics?
3. How would the population change affect literacy rates if the total population grows but the literate population stays the same?
4. What are the steps to increase literacy rates effectively in a region with a stagnant population?
5. How would a decrease in Region E's population impact the overall literacy rate of the country?

**Tip**: When working with percentages, always ensure you are clear about whether you're working with parts of the total or just comparing different parts!

Questions 16-19 based on literacy rates, population changes, and median calculations.

Explore how to solve problems involving literacy rates, population increases, and median calculations. Includes key statistics concepts and algebraic population estimation methods. Suitable for high school students (Grades 9-12).

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