Time taken is seconds by 25 students in an examination to solve certain question is given below.
20,16,20,27,28,30,33,57,50,40,42,46,28,43,46,46,48,49,52,58,59,60,64,52.
By taking class interval of size 10, make a frequency distribution table.

Answer

To create a frequency distribution table for the given time taken by 25 students, we will follow these steps:

### Step 1: Determine the Class Intervals
We need to create class intervals of size 10. The smallest value in the data is 16 and the largest value is 64. Therefore, we can create the following class intervals:
- 10 to 20
- 20 to 30
- 30 to 40
- 40 to 50
- 50 to 60
- 60 to 70

### Step 2: Count the Frequencies
Now, we will count how many values fall into each class interval.

- **Class Interval 10 to 20**: Values are 16 (1 value)
- **Class Interval 20 to 30**: Values are 20, 20, 27, 28 (4 values)
- **Class Interval 30 to 40**: Values are 30, 33 (2 values)
- **Class Interval 40 to 50**: Values are 40, 42, 46, 46, 46 (5 values)
- **Class Interval 50 to 60**: Values are 50, 52, 52, 58, 59, 60 (6 values)
- **Class Interval 60 to 70**: Values are 64 (1 value)

### Step 3: Create the Frequency Distribution Table
Now, we can compile the class intervals and their corresponding frequencies into a table.

| Class Interval | Frequency |
|----------------|-----------|
| 10 - 20 | 1 |
| 20 - 30 | 4 |
| 30 - 40 | 2 |
| 40 - 50 | 5 |
| 50 - 60 | 6 |
| 60 - 70 | 1 |

### Final Frequency Distribution Table
The final frequency distribution table is as follows:

| Class Interval | Frequency |
|----------------|-----------|
| 10 - 20 | 1 |
| 20 - 30 | 4 |
| 30 - 40 | 2 |
| 40 - 50 | 5 |
| 50 - 60 | 6 |
| 60 - 70 | 1 |