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Let's solve this problem step by step by analyzing the given table and extracting the necessary data to calculate the descriptive statistics (median, first quartile, and third quartile) for the temperatures.

### Step 1: Extract the temperatures
The temperatures (row 2) are as follows:

\[
28, 30, 40, 39, 40, 41, 41, 50, 62, 29, 41, 50, 50, 62, 29, 41, 45, 58, 39, 49, 49, 61, 60
\]

This gives us a total of 23 data points.

### Step 2: Sort the data
To compute the median and quartiles, we need to sort the data in increasing order:

\[
28, 29, 29, 30, 39, 39, 40, 40, 41, 41, 41, 45, 49, 49, 50, 50, 50, 58, 60, 61, 62, 62
\]

### Step 3: Find the median
The median is the middle value in a sorted data set. Since there are 23 data points (an odd number), the median is the 12th value in the sorted list.

The sorted list is:

\[
28, 29, 29, 30, 39, 39, 40, 40, 41, 41, 41, \mathbf{45}, 49, 49, 50, 50, 50, 58, 60, 61, 62, 62
\]

Thus, the **median** is \( \boxed{45.0} \).

### Step 4: Calculate the first quartile (Q1)
The first quartile (Q1) is the median of the lower half of the data (not including the median). The lower half consists of:

\[
28, 29, 29, 30, 39, 39, 40, 40, 41, 41, 41
\]

The median of this subset is the 6th value in the lower half. Thus, \( Q1 = 39 \).

### Step 5: Calculate the third quartile (Q3)
The third quartile (Q3) is the median of the upper half of the data (not including the median). The upper half consists of:

\[
49, 49, 50, 50, 50, 58, 60, 61, 62, 62
\]

The median of this subset is the 6th value in the upper half. Thus, \( Q3 = 50 \).

### Final answers:
- **Median** = \( 45.0 \)
- **First Quartile (Q1)** = \( 39.0 \)
- **Third Quartile (Q3)** = \( 50.0 \)

Would you like further details or clarification on these calculations?

Here are 5 additional questions based on this topic:
1. How do you calculate the interquartile range (IQR)?
2. What is the significance of the median in a data set?
3. How can outliers affect the quartiles in a box plot?
4. Can you explain the difference between the mean and the median?
5. How would the quartiles change if an additional data point were added to the set?

**Tip**: When dealing with a large data set, always sort the values before calculating statistics like the median and quartiles.

Calculate the median, first quartile, and third quartile for the following temperature data from a sewage treatment facility over 23 consecutive days: 28, 30, 40, 39, 40, 41, 41, 50, 62, 29, 41, 50, 50, 62, 29, 41, 45, 58, 39, 49, 49, 61, 60.

Solve a problem using descriptive statistics to calculate the median, first quartile, and third quartile for a temperature data set from a sewage treatment facility. This example is suitable for Grades 10-12.

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