The distance (in km) of 40 engineers from their residence to their place of work were found as follows.

Construct a grouped frequency distribution table with calss- size 5 for the data given above taking the first interval as 0-5 (5 not included).

Explanation

To present such a large amount of data, so that a reader can make sense of it easily, we condense it into groups like, 0-5, 5-10 …., 30-35 (since, our data is from 5 to 32). These grouping are called 'classes' or 'class-intervals' and their size is called the class-size or class width which is 5 in this case. In each of these classes, the least number is called the lower class limit and the greatest number is called the upper class limit. e.g., 0-5, 0 is the 'lower class limit' and 5 is the 'upper class limit'.
Now, using tally marks, the data (given) can be condensed in tabular form as follows:

Presenting data in this form simplifies and condenses data and enables us to observe certain important feature at a glance. This is called a grouped frequency distribution table. We observe that the classes in the table above are non-overlapping.