Question

The following are the marks obtained by 40 students in mathematics test
47 44 58 48 47 57 56 71 62 46 45 50 76 73 43 54 58 66 48 32 89 60 42 47 54 67 35 54 52 44 64 49 37 64 67 44 45 42 34 45
(a) Use the above information to prepare the frequency distribution table
- Number of classes = 6
- Size of each class = 10
- The lower limit of the first class interval = 32

Answer 1

To create a frequency distribution table with 6 classes, where each class has a size of 10 and the lower limit of the first class interval is 32, we can define the class intervals as follows:

1. **Class Intervals:**
- Class 1: 32 - 41
- Class 2: 42 - 51
- Class 3: 52 - 61
- Class 4: 62 - 71
- Class 5: 72 - 81
- Class 6: 82 - 91

2. **Tallying the Marks:**
Now we will count how many marks fall into each class interval.

3. **Counting the Frequencies:**

- **Class 1: 32 - 41**
- Marks: 32, 35, 37, 42, 42, 43, 44, 44
- Frequency: 7

- **Class 2: 42 - 51**
- Marks: 42, 44, 44, 45, 45, 45, 46, 47, 47, 47, 48, 48, 49, 50, 54, 54, 54
- Frequency: 7

- **Class 3: 52 - 61**
- Marks: 52, 54, 56, 57, 58, 58, 60, 61
- Frequency: 8

- **Class 4: 62 - 71**
- Marks: 62, 64, 64, 66, 67, 67, 71, 73, 76
- Frequency: 6

- **Class 5: 72 - 81**
- Marks: 76, no additional marks fall in this range.
- Frequency: 1

- **Class 6: 82 - 91**
- Marks: 89
- Frequency: 1

4. **Frequency Distribution Table:**

| Class Interval | Frequency |
|----------------|-----------|
| 32 - 41 | 7 |
| 42 - 51 | 8 |
| 52 - 61 | 8 |
| 62 - 71 | 6 |
| 72 - 81 | 1 |
| 82 - 91 | 1 |
| **Total** | **40** |

This table summarizes the frequency distribution of marks obtained by the 40 students in the mathematics test.