Let the marks obtained by 30 students of a class in a test be 38, 26, 4, 32, 20, 22, 11, 47, 12, 23, 8, 2, 10, 8, 12, 17, 2, 19, 16, 42, 40, 13, 47, 38, 17, 27, 30, 6, 23, 18.
Arrange the data in grouped frequency distribution, using groups 0-10, 10-20 e tc.

Answer

To arrange the given marks of 30 students in a grouped frequency distribution, we will follow these steps:

### Step 1: Identify the Groups
We will create groups based on the intervals provided:
- 0-10
- 10-20
- 20-30
- 30-40
- 40-50

### Step 2: Count the Frequency for Each Group
We will go through the marks and count how many fall into each group.

**Marks:**
38, 26, 4, 32, 20, 22, 11, 47, 12, 23, 8, 2, 10, 8, 12, 17, 2, 19, 16, 42, 40, 13, 47, 38, 17, 27, 30, 6, 23, 18

**Counting Frequencies:**
- **0-10:** 4, 8, 2, 10, 8, 2, 6 (Total = 7)
- **10-20:** 11, 12, 12, 17, 19, 16, 13 (Total = 7)
- **20-30:** 20, 22, 23, 26, 23, 27, 30 (Total = 7)
- **30-40:** 32, 38, 38, 40 (Total = 4)
- **40-50:** 42, 47, 47 (Total = 3)

### Step 3: Create the Frequency Distribution Table
Now we will organize the counts into a table format.

| Marks Interval | Tally Marks | Frequency |
|----------------|-------------|-----------|
| 0 - 10 | |||||||| | 7 |
| 10 - 20 | |||||||| | 7 |
| 20 - 30 | ||||||| | 7 |
| 30 - 40 | ||||| | 4 |
| 40 - 50 | ||| | 3 |
| **Total** | | **30** |

### Final Step: Verify Total Frequency
Add all the frequencies to ensure they sum up to 30, which is the total number of students.