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Let's analyze the statements one by one using the provided data from Company 1 and Company 2. 

### Company 1:
- Ages: 22, 25, 26, 30
- Salaries: 28,000, 30,000, 34,000, 43,000

### Company 2:
- Ages: 20, 25, 27, 31
- Salaries: 27,000, 37,500, 38,000, 52,000

### Now let’s address each statement:

**Statement I**:  
- The mean salaries for both companies are greater than $34,000.  
  **Calculation**:
  - **Company 1**:
    \[
    \text{Mean salary} = \frac{28,000 + 30,000 + 34,000 + 43,000}{4} = \frac{135,000}{4} = 33,750
    \]
    This is **less than $34,000**.

  - **Company 2**:
    \[
    \text{Mean salary} = \frac{27,000 + 37,500 + 38,000 + 52,000}{4} = \frac{154,500}{4} = 38,625
    \]
    This is **greater than $34,000**.

  So, **Statement I is false**, since Company 1's mean salary is not greater than $34,000.

---

**Statement II**:  
- The median age of workers in Company 1 is less than the median age of workers in Company 2.  
  **Calculation**:
  - **Company 1** ages (in order): 22, 25, 26, 30  
    Median: Average of 25 and 26 = $ \frac{25+26}{2} = 25.5 $

  - **Company 2** ages (in order): 20, 25, 27, 31  
    Median: Average of 25 and 27 = $ \frac{25+27}{2} = 26 $

  Since **25.5 < 26**, **Statement II is true**.

---

**Statement III**:  
- The salary range in Company 2 is greater than the salary range in Company 1.  
  **Calculation**:
  - **Company 1** salary range:
    \[
    \text{Range} = 43,000 - 28,000 = 15,000
    \]

  - **Company 2** salary range:
    \[
    \text{Range} = 52,000 - 27,000 = 25,000
    \]

  Since **25,000 > 15,000**, **Statement III is true**.

---

### Correct Answer:
- **Statements II and III are true**, so the correct answer is **d. II and III only**.

Would you like a deeper explanation on any of these steps?  

---

Here are 5 related questions you might consider:
1. How do you find the mean for a data set?
2. What is the difference between the mean and the median?
3. How do you calculate the salary range for a company?
4. Why is the median sometimes a better measure than the mean?
5. How does one interpret the salary range in terms of employee distribution?

**Tip**: The median is less affected by extreme values than the mean, making it a useful measure when data includes outliers.

Which of the following statements is true about the data in the tables shown below?

Company 1:
- Worker’s Age (Years): 22, 25, 26, 30
- Salary (Dollars): 28,000, 30,000, 34,000, 43,000

Company 2:
- Worker’s Age (Years): 20, 25, 27, 31
- Salary (Dollars): 27,000, 37,500, 38,000, 52,000

Statements:
I. The mean salaries for both companies are greater than $34,000.
II. The median age of workers in Company 1 is less than the median age of workers in Company 2.
III. The salary range in Company 2 is greater than the salary range in Company 1.

Options:
a) II only
b) III only
c) I and II only
d) II and III only

Determine the correctness of statements about the mean salary, median age, and salary range for two companies using the provided data. Suitable for high school students in Grades 9-12.

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