Grouped Frequency Distribution and Class Width

A grouped frequency distribution is a way to organize and present data by grouping it into intervals or classes. It is commonly used when dealing with large data sets or continuous data. Each class interval represents a range of values, and the frequency indicates the number of data points falling within that range.

In the given question, the class intervals are 0-10, 10-20, 20-30, and so on. To find the class width, we need to determine the size or width of each interval.

Calculating the Class Width
To calculate the class width, we subtract the lower limit of one class interval from the lower limit of the next class interval. In this case, the lower limits of the class intervals are 0, 10, 20, and so on.

Class Width = (Lower Limit of the Next Interval) - (Lower Limit of the Current Interval)

Calculating the class width for the given class intervals:

- Class Interval: 0-10
- Lower Limit of the Current Interval: 0
- Lower Limit of the Next Interval: 10
- Class Width = 10 - 0 = 10

- Class Interval: 10-20
- Lower Limit of the Current Interval: 10
- Lower Limit of the Next Interval: 20
- Class Width = 20 - 10 = 10

- Class Interval: 20-30
- Lower Limit of the Current Interval: 20
- Lower Limit of the Next Interval: 30
- Class Width = 30 - 20 = 10

From the calculations above, we can see that the class width for all the intervals is 10. Therefore, the correct answer is option 'C' – 10.

Importance of Class Width
The class width is an important aspect of a grouped frequency distribution as it determines the size of each interval. It helps in organizing the data in a meaningful and manageable way. By choosing an appropriate class width, we can balance the level of detail and the number of classes in the distribution, making it easier to analyze and interpret the data.