I see the table and the questions provided in the uploaded image. Let me solve this step by step.

Table Summary:

• Monday: -5.5
• Tuesday: -4.3
• Wednesday: 3.8
• Thursday: -4.6
• Friday: -10.9

1. The average high temperature for these 5 days can be represented by $\frac{21.5}{5}$:

Step 1: Add the temperatures:

$-5.5 + (-4.3) + 3.8 + (-4.6) + (-10.9) = -21.5$

Step 2: Divide by 5 (since there are 5 days):

$\text{Average} = \frac{-21.5}{5} = -4.3$

So, the correct representation for the average is $\frac{-21.5}{5}$, not $\frac{21.5}{5}$. This statement is False.

2. The average high temperature Wednesday through Friday is equivalent to $\frac{-11.7}{3}$:

Step 1: Add the temperatures for Wednesday, Thursday, and Friday:

$3.8 + (-4.6) + (-10.9) = -11.7$

Step 2: Divide by 3 (since there are 3 days):

$\text{Average} = \frac{-11.7}{3} = -3.9$

This matches the given value $\frac{-11.7}{3}$. This statement is True.

3. The average high temperature for Tuesday and Wednesday can be written as $\frac{0.5}{2}$:

Step 1: Add the temperatures for Tuesday and Wednesday:

$-4.3 + 3.8 = -0.5$

Step 2: Divide by 2 (since there are 2 days):

$\text{Average} = \frac{-0.5}{2} = -0.25$

The fraction $\frac{0.5}{2}$ simplifies to $0.25$, which is incorrect as the average is $-0.25$. This statement is False.

4. The average high temperature for these 5 days is a rational number:

The average for the 5 days is: $\frac{-21.5}{5}$

Since this fraction represents a ratio of integers, it is a rational number. This statement is True.

Final Answers:

1. False
2. True
3. False
4. True

Do you want detailed calculations or clarifications on any part?

Here are 5 related questions for practice:

1. How would the average change if Monday's temperature were $0^\circ \text{F}$?
2. Can you determine the median temperature for these 5 days?
3. What is the total sum of temperatures from Tuesday to Friday?
4. Is the range of temperatures (highest - lowest) a rational number?
5. What happens to the average if all temperatures are increased by $2^\circ \text{F}$?

Tip: When dealing with averages, always verify the numerator and denominator carefully to avoid sign errors.