The width of each of the five continuous classes in a frequency distribution is 5 and the upper class limit of the last class is 60. The lower class limit of the lowest class is

Options

A. 45
B. 25
C. 35
D. 40

Answer

To find the lower class limit of the lowest class in a frequency distribution where the width of each class is 5 and the upper class limit of the last class is 60, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Upper Class Limit of the Last Class**:
The problem states that the upper class limit of the last class is 60.

2. **Determine the Width of Each Class**:
The width of each class is given as 5.

3. **Calculate the Lower Class Limit of the Last Class**:
Since the width of each class is 5, we can find the lower class limit of the last class by subtracting the width from the upper class limit:
\[ \text{Lower class limit of last class} = \text{Upper class limit} - \text{Width} = 60 - 5 = 55 \]

4. **List the Class Intervals**:
Now we can list the class intervals starting from the last class back to the first class:
- Last class: 55 to 60
- Second last class: 50 to 55
- Third last class: 45 to 50
- Fourth last class: 40 to 45
- First class (lowest class): 35 to 40

5. **Identify the Lower Class Limit of the Lowest Class**:
From the intervals listed, the lower class limit of the lowest class (the first class) is 35.

### Final Answer:
The lower class limit of the lowest class is **35**.

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