Below is given frequency distribution of no. Of packages received at a post office per day. Find Modal number of packages received by the post office per day.. No. of Packages 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 No. of days 2 8 16 24 30 20



No. of packages
No. of days (f)
10 – 20
2
20 – 30
8
30 – 40
16
40 – 50
24
50 – 60
30
60 – 70
20

Here, the maximum frequency is 30 corresponding to class boundary 50 - 60
fm = 30, f1 = 24, f2 = 20, h = 10  and  L = 50
Mode
=
L
 +
       fm
-
f1


h




2fm
-
f1
-
f2


Mode
=
50
 +
       30
-
24


10




2(30)
-
24
-
20



Mode
=
50
 +
        
6



10




60
-
24
-
20


Mode
=
50
 +
        
6



10





16





Mode
=
50
 +
        
60









16





Mode
=
50
 +
        
60









16





Mode = 50 + 3.75
Mode = 53.75 Packges.

No comments:

Post a Comment