Draw a histogram for the following
`{:("Class interval ", 11-20,21-30,31-40,41-50,51-60),(" Frequency "," "5, " "8, " "13 , " "10, " "6):}`

Answer

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

### Step 1: Convert Class Intervals to Continuous Class Intervals
The given class intervals are:
- 11-20
- 21-30
- 31-40
- 41-50
- 51-60

To convert these to continuous class intervals, we need to adjust the lower and upper limits. We will find the difference between the upper limit of one class and the lower limit of the next class, which is 1 in this case. We will divide this by 2 to get 0.5.

Now, we will subtract 0.5 from the lower limit of the first class and add 0.5 to the upper limit of the last class:
- 10.5 to 20.5
- 20.5 to 30.5
- 30.5 to 40.5
- 40.5 to 50.5
- 50.5 to 60.5

### Step 2: Prepare the Frequency Table
Now we can create a frequency table with the continuous class intervals and their corresponding frequencies:
- 10.5 to 20.5: 5
- 20.5 to 30.5: 8
- 30.5 to 40.5: 13
- 40.5 to 50.5: 10
- 50.5 to 60.5: 6

### Step 3: Set Up the Axes for the Histogram
- The x-axis will represent the continuous class intervals.
- The y-axis will represent the frequencies.

### Step 4: Determine the Scale
Choose a suitable scale for both axes. For example:
- For the y-axis (frequency), we can use a scale of 1 cm = 2 units.
- For the x-axis (class intervals), we can use a scale of 2 cm for each class interval.

### Step 5: Draw the Histogram
1. **Plot the first bar** for the interval 10.5 to 20.5 with a height of 5.
2. **Plot the second bar** for the interval 20.5 to 30.5 with a height of 8.
3. **Plot the third bar** for the interval 30.5 to 40.5 with a height of 13.
4. **Plot the fourth bar** for the interval 40.5 to 50.5 with a height of 10.
5. **Plot the fifth bar** for the interval 50.5 to 60.5 with a height of 6.

Ensure that there are no spaces between the bars, as this is a key feature of histograms.

### Step 6: Label the Histogram
Finally, label the axes and provide a title for the histogram.