To find the mode of the given frequency distribution, we need to find the value that has the highest frequency. Here is the step-by-step procedure to determine the mode:
1. Identify the frequencies and their corresponding values:
- The values are: 60, 62, 64, 66, 68, 70.
- The corresponding frequencies are: 4, 8, 12, 20, 31, 13.
2. Determine the highest frequency in the dataset:
- We compare the frequencies: 4, 8, 12, 20, 31, 13.
- The highest frequency is 31.
3. Identify the value associated with the highest frequency:
- The frequency of 31 corresponds to the value 68.
4. Conclusion:
- The mode of the given frequency distribution is the value associated with the highest frequency.
- Therefore, the mode of the frequency distribution is 68.
By following these steps, you can determine that the mode of this frequency distribution is indeed 68.