The distance (in km) of `40` engineers from their residence to their place of work were found as follows:
`5, 3, 10, 20 ,25, 11, 13, 7, 12, 31, 19, 10, 12, 17, 18, 11, 32, 17, 16, 2, 7, 9, 7, 8, 3, 5, 12, 15, 18, 3, 12, 14, 2, 9, 6 ,15, 15, 7, 6, 12.`
Construct a grouped frequency distribution.

Explanation

Here, the maximum value in the given data set is `32` and the the minimum value is `1`.

So, we can draw a frequency distribution table with below class intervals of distance in kms:

`0-5,5-10,10-15,15-20,20-25,25-30,30-35`

Now, we can map the frequency of the number of engineers with their distance in above class intervals and construct a frequency distribution table.

Please refer to video for the complete frequency distribution table.

From the frequency distribution table, we can observe that

(a) Maximum number of engineers(36) are living within 20 kms of their place of work.

(b)Very few of engineers(4) are living more than 20 kms away from their place of work.