given the following data , find out Quartile deviation and the coefficient of Quartile deviation ??
Wage : 0-5 , 5-10, 10-15,15-20,20-25,25-30
worker; 4    , 6    ,  3        , 8 ,     12      , 7

Dear Student,
 
Class Interval Frequency  Cumulative Frequency
0-5 4 4
5-10 6 10
10-15 3 13
15-20 8 21
20-25 12 33
25-30 7 40

First quartile class is given by size of N4th item, that is, 404thitem, which is 10th  item. Thus, 10-15 is the first quartile class.

Q1=l1+N4-c.f.f×i   =10+10-103×5   =10 Q1=10

Third quartile class is given by size of 
3N4th item, that is, 3404thitem, which is 30th item. Thus, 20-25 is the third quartile class.

Q3=l1+3N4-c.f.f×i   =20+30-2112×5   =20+4512   =23.75 Q3=23.75

 QD=Q3-Q12=23.75-102=13.752=6.875

Coefficient of QD

Coefficient of QD=Q3-Q1Q3+Q1                         =23.75-1023.75+10                         =0.407

  • 9
What are you looking for?