Draw a histogram to represent the following
`{:("Class interval ", 0-8,8-16,16-24,24-32,32-40),(" Frequency "," "6, " "9, " "12 , " "10, " "5):}`

Answer

To draw a histogram for the given data, follow these steps:

### Step 1: Prepare the Data
List the class intervals and their corresponding frequencies:
- Class intervals: 0-8, 8-16, 16-24, 24-32, 32-40
- Frequencies: 6, 9, 12, 10, 5

### Step 2: Set Up the Axes
- Draw two perpendicular lines to represent the axes.
- The horizontal axis (x-axis) will represent the class intervals.
- The vertical axis (y-axis) will represent the frequencies.

### Step 3: Determine the Scale
- Choose a suitable scale for the y-axis. For example, let 1 unit on the y-axis represent 1 frequency.
- For the x-axis, since the class intervals are in ranges of 8, you can let 1 unit represent 8 units of the class interval.

### Step 4: Mark the Class Intervals on the X-axis
- Mark the class intervals on the x-axis:
- 0-8
- 8-16
- 16-24
- 24-32
- 32-40

### Step 5: Plot the Frequencies
- For each class interval, draw a vertical bar up to the corresponding frequency:
- For the interval 0-8, draw a bar up to 6.
- For the interval 8-16, draw a bar up to 9.
- For the interval 16-24, draw a bar up to 12.
- For the interval 24-32, draw a bar up to 10.
- For the interval 32-40, draw a bar up to 5.

### Step 6: Draw the Bars
- Ensure that each bar is adjacent to the next without any gaps, as histograms represent continuous data.
- The width of each bar should be equal and represent the class interval.

### Step 7: Label the Histogram
- Label the y-axis as "Frequency" and the x-axis as "Class Intervals".
- Optionally, you can also label the top of each bar with the frequency value for clarity.

### Final Histogram
- Review the histogram to ensure that it accurately represents the data.