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 table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

The given data is very large. Hence, we will construct a group frequency of class size 5.

Therefore,


Class interval will be 0-5, 5-10, 10-15, 15-20 and so on


The data in the table is represented as:


DISTANCES (in km)



TALLY MARKS



FREQUENCY



0-5



IIII



5



5-10



IIIIIIIII



11



10-15



IIIIIIIII



11



15-20



IIIIIIII



9



20-25



I



1



25-30



I



1



30-35



II



2



Total




40



The classes in the table are not overlapping.


And, 36 out of 40 engineers have their houses under 20 km of distance.


4