https://file.aiquickdraw.com/mathbot/file/17285493312511kejbpxw.jpg

The image provided includes the following dataThe image provided includes the following 

**Given dataThe image provided includes the following 

**Given **
The lengths of stay (in days) for a random sample of 19 patients discharged from a hospital:
\[ 13, 9, 5, 11, 6, 3, 12, 10, 11, 9, 9, 4, 4, 2, 10, 10, 10, 10, 10 \]

**Task:**
1. You are asked to draw a histogram with:
   - An initial class boundary of 1.5.
   - A class width of 2.

Let’s walk through how to create the histogram:

### Step-by-Step Solution:

1. **Determine Class Intervals:**
   - Initial class boundary is 1.5, and class width is 2.
   - The first class will be \( [1.5, 3.5) \), the next class \( [3.5, 5.5) \), and so on.

2. **Class Boundaries and Frequency Calculation:**
   - The possible classes are:
     - \( [1.5, 3.5) \)
     - \( [3.5, 5.5) \)
     - \( [5.5, 7.5) \)
     - \( [7.5, 9.5) \)
     - \( [9.5, 11.5) \)
     - \( [11.5, 13.5) \)

3. **Tally the Data:**
   - Count the number of data points in each interval:
     - \( [1.5, 3.5) \): \( 2 \) (values: 2, 3)
     - \( [3.5, 5.5) \): \( 4 \) (values: 4, 4, 5, 4)
     - \( [5.5, 7.5) \): \( 1 \) (value: 6)
     - \( [7.5, 9.5) \): \( 5 \) (values: 9, 9, 9, 9, 9)
     - \( [9.5, 11.5) \): \( 7 \) (values: 10, 10, 10, 10, 10, 10, 11)
     - \( [11.5, 13.5) \): \( 2 \) (values: 12, 13)

4. **Construct the Histogram:**
   - Each bar will represent a class, and the height will represent the frequency.

Would you like me to create this histogram or provide further details about each step?

The following are the lengths of stay (in days) for a random sample of 19 patients discharged from a particular hospital: 13, 9, 5, 11, 6, 3, 12, 10, 11, 9, 9, 4, 4, 2, 10, 10, 10, 10, 10. Draw the histogram for these data using an initial class boundary of 1.5 and a class width of 2.

Learn how to draw a histogram for a dataset representing lengths of hospital stays, using an initial class boundary of 1.5 and a class width of 2. This problem involves determining class intervals, calculating frequencies, and constructing a histogram.

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