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 12 17 18 11 32 16 2 7
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?

Question

Accepted Answer

Answer :

Let us make the classes as 0-5, 5-10, 10-15, 15-20, 20-25, 25-30 and 30-35.

The frequency distribution table will be as follows:

Distance from residence	Distance values and No. of entries (Tally Marks)	No. of engineers(frequency)
0 - 5	3, 2, 3, 3, 2 = 5 entries	5
5 - 10	5, 7, 7, 9, 7, 8, 5, 9, 6, 7, 6 = 11 entries	11
10 - 15	10, 11, 13, 12, 10, 12, 11, 12, 12, 14, 12 = 11 entries	11
15 - 20	19, 17, 18, 17, 16, 15, 18, 15, 15 = 9 entries	9
20 - 25	20 = 1 entry	1
25 - 30	25 = 1 entry	1
30 - 35	31, 32 = 2 entries	2

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