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The distance (in km) of 40 engineers from their residence to their place of work were found as follows:
5310202511137123119101217181131171627978351215183121429615157612
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 feature do you observe from this tabular representation?

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Solution

It is given that a grouped frequency distribution table of class size 5 has to be constructed. Therefore, the class intervals will be 0−5, 5− 10, 10 −15, 15−20…By observing the data given as above, a grouped frequency distribution table can be constructed as follows.


It can be observed that there are very few engineers whose homes are at more than or equal to 20 km distance from their workplace. Most of the engineers have their work place up to 15 km distance from their homes.


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