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To find the median number of hours of exercise, we need to determine the middle value in the ordered dataset. Here's the breakdown:

### Step 1: Expand the Data Based on Frequency
Given:
- Hours of Exercise: \(1, 2, 3, 4, 5\)
- Frequency: \(2, 5, 4, 7, 8\)

Expanding the dataTo find the median number of hours of exercise, we need to determine the middle value in the ordered dataset. Here's the breakdown:

### Step 1: Expand the Data Based on Frequency
Given:
- Hours of Exercise: \(1, 2, 3, 4, 5\)
- Frequency: \(2, 5, 4, 7, 8\)

Expanding the 
- \(1\) hour appears \(2\) times: \(1, 1\)
- \(2\) hours appears \(5\) times: \(2, 2, 2, 2, 2\)
- \(3\) hours appears \(4\) times: \(3, 3, 3, 3\)
- \(4\) hours appears \(7\) times: \(4, 4, 4, 4, 4, 4, 4\)
- \(5\) hours appears \(8\) times: \(5, 5, 5, 5, 5, 5, 5, 5\)

### Step 2: Form the Full Data Set
The data set is:
\[
1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5
\]

### Step 3: Find the Median Position
The total number of data points is \(26\). The median is the average of the 13th and 14th values in an ordered dataset.

### Step 4: Locate the 13th and 14th Values
Counting through the ordered dataTo find the median number of hours of exercise, we need to determine the middle value in the ordered dataset. Here's the breakdown:

### Step 1: Expand the Data Based on Frequency
Given:
- Hours of Exercise: \(1, 2, 3, 4, 5\)
- Frequency: \(2, 5, 4, 7, 8\)

Expanding the 
- \(1\) hour appears \(2\) times: \(1, 1\)
- \(2\) hours appears \(5\) times: \(2, 2, 2, 2, 2\)
- \(3\) hours appears \(4\) times: \(3, 3, 3, 3\)
- \(4\) hours appears \(7\) times: \(4, 4, 4, 4, 4, 4, 4\)
- \(5\) hours appears \(8\) times: \(5, 5, 5, 5, 5, 5, 5, 5\)

### Step 2: Form the Full Data Set
The data set is:
\[
1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5
\]

### Step 3: Find the Median Position
The total number of data points is \(26\). The median is the average of the 13th and 14th values in an ordered dataset.

### Step 4: Locate the 13th and 14th Values
Counting through the ordered 
- The 13th and 14th values are both \(4\).

### Conclusion
The **median number of hours of exercise is \(4\)**.

Would you like further details or have any questions?

### Related Questions
1. How would the median change if we added more people with 5 hours of exercise?
2. What is the mean number of hours of exercise based on this dataset?
3. How do we calculate the mode for this set of exercise hours?
4. How is the median affected by extreme values in a dataset?
5. Why might the median be a better measure than the mean in certain cases?

### Tip
When finding the median in a frequency table, ensure the data is ordered and expand it accordingly to count the middle value accurately.

What is the median number of hours of exercise based on the given frequency table?

Learn how to find the median number of hours of exercise in a frequency table. This example covers key statistical concepts including frequency distribution and median calculations. Suitable for students in Grades 6-8.

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