# Q. 2.     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?

As the minimum and maximum distances of an engineer from his place of work is 2 and 32 respectively the class intervals with class size 5 would be the following.

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

The representation of the given data in the form of a grouped frequency distribution table is as follows

Frequencies of the class intervals 5 - 10 and 10 - 15 are maximum and equal to 11 each and frequencies of the class intervals 20 - 25 and 125 - 30 are minimum and equal to 1 each.

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