The distances (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?

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(N/A) To construct a grouped frequency distribution table with a class size of $5$,we use intervals: $0-5, 5-10, 10-15, 15-20, 20-25, 25-30, 30-35$.
Distance (in $km$) Number of engineers
$0-5$ $5$
$5-10$ $11$
$10-15$ $11$
$15-20$ $9$
$20-25$ $1$
$25-30$ $1$
$30-35$ $2$
Total $40$

Observations:
$1$. Most of the engineers (i.e.,$5+11+11+9 = 36$ engineers) live within a distance of $20\, km$ from their workplace.
$2$. Very few engineers (i.e.,$1+1+2 = 4$ engineers) live at a distance of $20\, km$ or more from their workplace.

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