A study was conducted to find out the concentration of sulphur dioxide in the air i n parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:
0.03 0.08 0.08 0.09 0.04 0.17
0.16 0.05 0.02 0.06 0.18 0.20
0.11 0.08 0.12 0.13 0.22 0.07
0.08 0.01 0.10 0.06 0.09 0.18
0.11 0.07 0.05 0.07 0.01 0.04
Make a grouped frequency distribution table for this data with class intervals as 0.00-0.04, 0.04-0.08, and so on.

Answer

To create a grouped frequency distribution table for the concentration of sulphur dioxide in parts per million (ppm) over 30 days, we will follow these steps:

### Step 1: Identify the Class Intervals
We will create class intervals as follows:
- 0.00 - 0.04
- 0.04 - 0.08
- 0.08 - 0.12
- 0.12 - 0.16
- 0.16 - 0.20
- 0.20 - 0.24

### Step 2: Count the Frequencies for Each Class Interval
Now, we will count how many data points fall into each class interval.

- **0.00 - 0.04**: The values are 0.03, 0.02, 0.01, 0.01, 0.04 (Total: 5)
- **0.04 - 0.08**: The values are 0.05, 0.06, 0.05, 0.07, 0.07, 0.07, 0.06, 0.08, 0.08 (Total: 9)
- **0.08 - 0.12**: The values are 0.08, 0.09, 0.09, 0.10, 0.11, 0.11, 0.12 (Total: 7)
- **0.12 - 0.16**: The values are 0.13, 0.14, 0.15 (Total: 3)
- **0.16 - 0.20**: The values are 0.16, 0.17, 0.18, 0.18, 0.20 (Total: 5)
- **0.20 - 0.24**: The value is 0.22 (Total: 1)

### Step 3: Compile the Frequency Distribution Table
Now we will compile the data into a table format.

| Class Interval | Frequency |
|----------------|-----------|
| 0.00 - 0.04 | 5 |
| 0.04 - 0.08 | 9 |
| 0.08 - 0.12 | 7 |
| 0.12 - 0.16 | 3 |
| 0.16 - 0.20 | 5 |
| 0.20 - 0.24 | 1 |
| **Total** | **30** |

### Step 4: Verify the Total Frequency
Ensure that the total frequency sums up to 30, which is the total number of days of data collected.