Grouped Frequency Distribution

A grouped frequency distribution is a way to organize and present data in a tabular form. It is particularly useful when dealing with a large set of data, as it helps in summarizing the data and identifying patterns or trends. In a grouped frequency distribution, the data is grouped into intervals or classes, and the frequency of each interval is recorded.

Class Intervals

In the given question, the class intervals are 0-10, 10-20, 20-30, and so on. Each class interval represents a range of values that the data falls into. The lower limit of the class interval is the smallest value that falls into that interval, and the upper limit is the largest value that falls into that interval. For example, in the class interval 0-10, the lower limit is 0 and the upper limit is 10.

Class Width

The class width is the difference between the upper and lower limits of a class interval. It represents the range of values that each interval covers. In the given question, the class intervals are consecutive and have a constant difference of 10. Therefore, the class width is 10.

Explanation of Options

a) 30: This option is not correct as it does not represent the class width. The class width is 10, not 30.

b) 10: This option is correct as it represents the class width. The class width is indeed 10.

c) 15: This option is not correct as it does not represent the class width. The class width is 10, not 15.

d) 20: This option is not correct as it does not represent the class width. The class width is 10, not 20.

Conclusion

In a grouped frequency distribution with class intervals of 0-10, 10-20, 20-30, and so on, the class width is 10. This represents the range of values covered by each interval and is different from the difference between consecutive intervals.