The distance (in $\mathrm{km}$ ) 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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Given:

The distance (in $\mathrm{km}$ ) of 40 engineers from their residence to their place of work

To do:

We have to 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).

Solution:

The given data is large, so for convenience we construct a grouped frequency distribution table of class size 5.

This implies,

The class intervals are 0-5, 5-10, 10-15, 15-20 and so on.

The data is represented in the grouped frequency distribution table as follows:

 Distance (in km) Tally marks Frequency 0-5 5 5-10 11 10-15 11 15-20 9 20-25 | 1 25-30 | 1 30-35 || 2 Total 40

From the above table, we can observe that the classes do not overlap.

Also, the houses of 36 out of 40 engineers are at a distance of less than 20 km.

Updated on 10-Oct-2022 13:46:58