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 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?"
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.