Given below are the marks obtained by 30 students in an examination :
`{:(08,17,33,41,47,23,20,34,09,18,42,14,30),(19,29,11,36,48,40,24,22,02,16,21,15,32),(47,44,33,01,,,,,,,,,):}`
Taking class intervals 1-10, 11-20 ,......, 41 - 50 , Make a frequency table for the above distribution.

Answer

To create a frequency table for the given marks obtained by 30 students, we will follow these steps:

### Step 1: Organize the Data
First, we need to list all the marks obtained by the students. The marks are:
```
08, 17, 33, 41, 47, 23, 20, 34, 09, 18, 42, 14, 30,
19, 29, 11, 36, 48, 40, 24, 22, 02, 16, 21, 15, 32,
47, 44, 33, 01
```

### Step 2: Define Class Intervals
Next, we will define the class intervals. The intervals given are:
- 1-10
- 11-20
- 21-30
- 31-40
- 41-50

### Step 3: Tally the Frequencies
Now, we will count how many marks fall into each class interval.

- **Class Interval 1-10**: 08, 09, 02, 01 (Total = 4)
- **Class Interval 11-20**: 17, 20, 18, 14, 19, 11, 16 (Total = 7)
- **Class Interval 21-30**: 23, 24, 22, 21, 30, 29, 32 (Total = 7)
- **Class Interval 31-40**: 33, 34, 36, 33, 40 (Total = 5)
- **Class Interval 41-50**: 41, 47, 48, 42, 44, 47 (Total = 6)

### Step 4: Create the Frequency Table
Now we can create the frequency table based on the counts we have obtained.

| Class Interval | Frequency |
|----------------|-----------|
| 1 - 10 | 4 |
| 11 - 20 | 7 |
| 21 - 30 | 7 |
| 31 - 40 | 5 |
| 41 - 50 | 6 |

### Final Frequency Table
The final frequency table summarizing the marks obtained by the students is:

| Class Interval | Frequency |
|----------------|-----------|
| 1 - 10 | 4 |
| 11 - 20 | 7 |
| 21 - 30 | 7 |
| 31 - 40 | 5 |
| 41 - 50 | 6 |

---