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 17 16 2
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?
The given data is very large. Hence, we will construct a group frequency of class size 5.
Therefore,
Class interval will be 0-5, 5-10, 10-15, 15-20 and so on
The data in the table is represented as:
DISTANCES (in km) | TALLY MARKS | FREQUENCY |
0-5 |
| 5 |
5-10 |
| 11 |
10-15 |
| 11 |
15-20 |
| 9 |
20-25 | I | 1 |
25-30 | I | 1 |
30-35 | II | 2 |
Total | 40 |
The classes in the table are not overlapping.
And, 36 out of 40 engineers have their houses under 20 km of distance.