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 05 (5 not included). What main features do you observe from this tabular representation?
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 
Solution:
Since the given data is large, we need to group the data into class sizes of 5 each and construct a table that will make the important features of the data visible.
This table is known as grouped frequency distribution table. The class intervals will be 05, 510, 1015, and so on.
The distance (in km) of 40 engineers from their residence to their place work can be represented as follows (with the help of tally marks)
DISTANCE (in km) 
TALLY MARKS 
NO OF ENGINEERS (Frequency) 
05 
 
5 
510 
   
11 
1015 
   
11 
1520 
  
9 
2025 
 
1 
2530 
 
1 
3035 
 
2 
Total 

40 
The following features can be observed from the above table.
 5 Engineers have their houses below 5 km
 A majority of engineers (31) have their houses below 20 km
 Only a few engineers (4) have their houses at 20 km and above distance.
Video Solution:
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 05 (5 not included). What main features do you observe from this tabular representation?
NCERT Solutions for Class 9 Maths  Chapter 14 Exercise 14.2 Question 2:
Summary:
It is given that distance (in km) of 40 engineers from their residence to their place of work was found as given in the table. We have created the frequency distribution table and have found that 5 Engineers have their houses below 5 km, a majority of engineers (31) have their houses below 20 km, only a few engineers (4) have their houses at 20 km and above distance.