State True or False : Cumulative frequency of the last class is the total of all frequencies in the data.

Answer

To determine whether the statement "Cumulative frequency of the last class is the total of all frequencies in the data" is true or false, let's analyze the concept of cumulative frequency step by step.

### Step-by-Step Solution:

1. **Understanding Cumulative Frequency**:
- Cumulative frequency is the running total of frequencies up to a certain class interval. It adds each frequency to the sum of the previous frequencies.

2. **Defining the Classes and Frequencies**:
- Let’s assume we have several class intervals, for example:
- Class 1: \( x_1 \) to \( x_2 \) with frequency \( f_1 \)
- Class 2: \( x_2 \) to \( x_3 \) with frequency \( f_2 \)
- Class 3: \( x_3 \) to \( x_4 \) with frequency \( f_3 \)
- And so on, until the last class.

3. **Calculating Cumulative Frequencies**:
- The cumulative frequency for each class is calculated as follows:
- Cumulative frequency for Class 1: \( f_1 \)
- Cumulative frequency for Class 2: \( f_1 + f_2 \)
- Cumulative frequency for Class 3: \( f_1 + f_2 + f_3 \)
- Continuing this pattern, the cumulative frequency for the last class (let's say Class \( n \)) will be:
\[ C_n = f_1 + f_2 + f_3 + ... + f_n \]
- Here, \( C_n \) represents the cumulative frequency of the last class.

4. **Conclusion**:
- The cumulative frequency of the last class is indeed the sum of all frequencies from the first class to the last class. Therefore, the statement is **True**.

### Final Answer:
**True**