The marks (out of 100) obtained by a group of students in Mathematics test are :
88, 74, 90, 88, 40, 46, 58, 96, 82, and 78. Find :
range of the marks obtained

Answer

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

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

**Marks obtained:** 88, 74, 90, 88, 40, 46, 58, 96, 82, 78

- **Maximum mark:** 96
- **Minimum mark:** 40

### Step 2: Calculate the range
The range is calculated by subtracting the minimum mark from the maximum mark.

**Formula for range:**
\[ \text{Range} = \text{Maximum mark} - \text{Minimum mark} \]

Substituting the values we found:
\[ \text{Range} = 96 - 40 \]

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

\[ \text{Range} = 96 - 40 = 56 \]

### Conclusion
The range of the marks obtained by the students is **56**.

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