The marks obtained by 20 students of a class in a test (out of 50) are given below : 40, 44, 45, 46, 50, 42, 41, 8, 26, 28, 9, 32, 24, 6, 42, 36, 39.
The range of the data is

Options

A. 44
B. 54
C. 90
D. 10

Answer

To find the range of the marks obtained by the 20 students, we follow these steps:

### Step 1: Identify the highest and lowest marks
First, we need to determine the highest and lowest marks from the given data set.

**Marks obtained by students:**
40, 44, 45, 46, 50, 42, 41, 8, 26, 28, 9, 32, 24, 6, 42, 36, 39

- **Highest mark:** 50
- **Lowest mark:** 6

### Step 2: Calculate the range
The range is calculated by subtracting the lowest mark from the highest mark.

**Formula for range:**
\[ \text{Range} = \text{Highest mark} - \text{Lowest mark} \]

Substituting the values:
\[ \text{Range} = 50 - 6 \]

### Step 3: Perform the subtraction
Now, we perform the subtraction to find the range.

\[ \text{Range} = 50 - 6 = 44 \]

### Conclusion
The range of the data is **44**.

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