Find coefficient of quartile deviation of 8,15,2,11,20,3,5
Answers
Answer:
Arranging the observations in ascending order:
2, 3, 5, 8, 11, 15, 20.
N = 7 (odd number). Q1 (Lower Quartile) = (N+1)/4 = (7+1)/4 = 2nd item. Therefore, Q1 = 3.
Q3 (Upper Quartile) = 3(N+1)/4 = 3(7+1)/4 = 6th item = 15.
Coefficient of Quartile Deviation = (Q3-Q1)/(Q3+Q1) = (15-3)/(15+3) = 0.67.
Arranging given numbers in ascending order,
6,8,9,10,11,12,14
Number of observation (N)=7
Q
i
={i(
4
N+1
)}
th
term
Q
1
={1.(
4
7+1
)}
th
term=2
nd
term
2
nd
term=8
∴ Q
1
=8
Q
3
={3.(
4
7+1
)}
th
term=6
th
term
6
th
term=12
∴ Q
3
=12
⇒ Coefficient of quartile =
Q
3
+Q
1
Q
3
−Q
1
=
12+8
12−8
=
20
4
=
5
1
hope it will help you