Frequency Density of Second Class Interval

Frequency density is defined as the ratio of the frequency of a class interval to its width. It is used to compare the distribution of data sets with different intervals. In this case, we are asked to find the frequency density of the second class interval.

Steps to Calculate Frequency Density

1. Determine the width of the class interval.
2. Calculate the frequency of the second class interval.
3. Divide the frequency of the second class interval by its width to get the frequency density.

Example Calculation

Suppose we have the following data set with class intervals and frequencies:

| Class Interval | Frequency |
| --- | --- |
| 0-10 | 5 |
| 10-20 | 8 |
| 20-30 | 15 |
| 30-40 | 12 |
| 40-50 | 10 |

To find the frequency density of the second class interval (10-20), we follow these steps:

1. Width of the second class interval = 20 - 10 = 10.
2. Frequency of the second class interval = 8.
3. Frequency density of the second class interval = 8/10 = 0.8.

Therefore, the frequency density of the second class interval is 0.8.

Conclusion

Frequency density is a useful tool for comparing the distribution of data sets with different intervals. It allows us to measure the frequency of a class interval relative to its width. By following the steps outlined above, we can easily calculate the frequency density of any class interval in a data set.