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Q.

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

Distance (in km) of 40 engineers from their place of residence to their  place of work were found as follows. What is the empirical probability that  an engineer lives. more than or

 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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Detailed Solution

Since, here data of 40 observation are given,

So, we need to group the data into class size of 5 and then we make the grouped frequency distribution table by using tally marks.

The distance (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

From the above-grouped frequency distribution table, we found that

(i) 36 engineers have house below 20 km.

(ii) 5 engineers have their house below 5 km.

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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?