If in a frequency distribution table with 12 classes, the width of each class is 2.5 and the lowest class boundary is 6.1, then what is the upper class boundary of the highest class ?

Options

A. 30.1
B. 27.6
C. 30.6
D. 36.1

Explanation

To find the upper class boundary of the highest class in a frequency distribution table, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Number of classes (n) = 12
- Width of each class (w) = 2.5
- Lowest class boundary (L) = 6.1

2. **Calculate the total width contributed by all classes**:
- The total width contributed by all classes can be calculated as:
\[ \text{Total Width} = \text{Number of Classes} \times \text{Width of Each Class} \]
- Substituting the values:
\[ \text{Total Width} = 12 \times 2.5 = 30 \]

3. **Calculate the upper class boundary of the highest class**:
- The upper class boundary of the highest class can be found using the formula:
\[ \text{Upper Class Boundary} = \text{Lowest Class Boundary} + \text{Total Width} \]
- Substituting the values:
\[ \text{Upper Class Boundary} = 6.1 + 30 = 36.1 \]

4. **Conclusion**:
- The upper class boundary of the highest class is **36.1**.