Organise the following marks in a class assessment , in a tabular form
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7
What is the range of the data ?

Answer

To solve the problem step by step, we will organize the given marks in a tabular form and then calculate the range of the data.

### Step 1: List the Marks
We start with the given marks:
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

### Step 2: Identify the Range of Marks
Next, we need to identify the smallest and largest values in the data set:
- **Smallest value (Minimum)**: 1
- **Largest value (Maximum)**: 9

### Step 3: Create a Frequency Table
We will create a frequency table to organize the data. The table will include the marks, tally marks, and their corresponding frequencies.

| Marks | Tally Marks | Frequency |
|-------|-------------|-----------|
| 1 | | 1 |
| 2 | || | 2 |
| 3 | | | 1 |
| 4 | |||| | 3 |
| 5 | ||||| | 5 |
| 6 | |||| | 4 |
| 7 | || | 2 |
| 8 | | | 1 |
| 9 | | | 1 |

### Step 4: Count the Frequencies
Now, we will count how many times each mark appears:
- 1 appears 1 time
- 2 appears 2 times
- 3 appears 1 time
- 4 appears 3 times
- 5 appears 5 times
- 6 appears 4 times
- 7 appears 2 times
- 8 appears 1 time
- 9 appears 1 time

### Step 5: Calculate the Range
The range of the data is calculated by subtracting the smallest value from the largest value:
- **Range = Maximum - Minimum**
- **Range = 9 - 1 = 8**

### Final Answer
The range of the data is **8**.

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