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The distance (in km) of 40 engineers from their residence to their place of work were found as follows:

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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We have: 

Maximum distance (in km) = 32; 

Minimum distance (in km) = 2 

Range = Maximum value – Lowest value 

= 32 – 2 = 30 

Class size = 5 (given) 

∴ Number of intervals = 30/5 = 6

From the above table, we observe that 

5 + 11 + 11 + 9 = 36 engineers live at a distance up to 20 km from their place of work. 

Only 4 engineers live at a distance of 20 km or more from their work place.

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