Question

The distance (in $\mathrm{km}$) of $40$ engineers from their residence to their place of work were found as follows: $5310202511137123119101217181132171627978351215183121429615157612$ 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 $?$

Answer 1

Construct a grouped frequency distribution table with class size $5$:

Table showing grouped frequency distributions for a class of size $5$. $0-5,5-10,10-15,15-20$, and so on will be the class intervals.

The data is listed below in the form of a grouped frequency distribution.

Hence, we can see from the table above that the majority of engineers reside within $20$ kilometres of their work.

Only $\mathrm{4}$ employees out of $40$ live within $20$ to $35$ kilometres of their place of work.