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The problem requires creating a frequency distribution of attendance records of 50 students with specific class intervals and also asks for two calculations: the class mark and relative frequency.

Here is a breakdown of the steps involved:

### Steps to Follow:

1. **Class Intervals**:
   Given class intervals are: 
   - 10-20, 20-30, 30-40, ..., continuing in increments of 10.
   
2. **Organizing the Data**:
   The provided attendance records are:
   \[
   74, 45, 32, 64, 50, 20, 65, 75, 30, 21, 60, 50, 60, 66, 58, 52, 35, 48, 40, 37, 41, 51, 47, 38, 61, 53, 59, 49, 42, 15, 42, 64, 32, 65, 45, 62, 54, 51, 41, 48, 57, 52, 55, 42, 46, 39, 60, 33, 26, 16.
   \]

3. **Frequency Distribution**:
   The number of occurrences (frequency) of values falling within each class interval needs to be counted.

4. **Class Mark**:
   The class mark is the midpoint of each class interval, which can be calculated as:
   \[
   \text{Class Mark} = \frac{\text{Lower Limit} + \text{Upper Limit}}{2}
   \]

5. **Relative Frequency**:
   The relative frequency is the ratio of the frequency of a class to the total number of data points. This can be calculated as:
   \[
   \text{Relative Frequency} = \frac{\text{Frequency of a Class}}{\text{Total Number of Observations}}
   \]

I will now calculate the frequency distribution, class marks, and relative frequencies based on this data. Let me handle that for you.Here is the frequency distribution table along with the class marks and relative frequencies:

| Class Interval | Frequency | Class Mark | Relative Frequency |
|----------------|-----------|------------|--------------------|
| 10-20          | 2         | 15.0       | 0.04               |
| 20-30          | 3         | 25.0       | 0.06               |
| 30-40          | 8         | 35.0       | 0.16               |
| 40-50          | 13        | 45.0       | 0.26               |
| 50-60          | 12        | 55.0       | 0.24               |
| 60-70          | 10        | 65.0       | 0.20               |
| 70-80          | 2         | 75.0       | 0.04               |

### Summary:
- **Class Marks** are the midpoints of each interval.
- **Relative Frequencies** represent the proportion of values in each class interval relative to the total dataset.

Do you need further details or have any questions?

Here are some related questions for practice:
1. How would you calculate the cumulative frequency for these intervals?
2. What is the total relative frequency, and why should it equal 1?
3. Can you identify which class interval contains the median value?
4. How would you compute the mean attendance based on this frequency distribution?
5. How can you construct a histogram using this frequency distribution?

**Tip:** When constructing a frequency distribution, always double-check the class intervals and ensure that no data is left out of the intervals.

Following is the attendance record of 50 students during the first term in a certain College. Prepare a frequency distribution of the number of days with class intervals 10-20, 20-30, 30-40,.....
Attendance Records: 74, 45, 32, 64, 50, 20, 65, 75, 30, 21, 60, 50, 60, 66, 58, 52, 35, 48, 40, 37, 41, 51, 47, 38, 61, 53, 59, 49, 42, 15, 42, 64, 32, 65, 45, 62, 54, 51, 41, 48, 57, 52, 55, 42, 46, 39, 60, 33, 26, 16
Also, calculate the following:
1. Class Mark
2. Relative Frequency

Prepare a frequency distribution of the number of days with class intervals 10-20, 20-30, 30-40, etc., for an attendance record of 50 students. Calculate class marks and relative frequencies. Suitable for students in Grades 10-12.

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